135 results on '"*ARGUMENT"'
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2. On the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems.
- Author
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Garain, Prashanta, Kim, Wontae, and Kinnunen, Juha
- Subjects
- *
EQUATIONS , *EXPONENTS , *ARGUMENT - Abstract
We establish existence results for a class of mixed anisotropic and nonlocal p-Laplace equations with singular nonlinearities. We consider both constant and variable singular exponents. Our argument is based on an approximation method. To this end, we also discuss the necessary regularity properties of weak solutions of the associated non-singular problems. More precisely, we obtain local boundedness of subsolutions, the Harnack inequality for solutions and the weak Harnack inequality for supersolutions. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
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3. An unknottedness result for noncompact self-shrinkers.
- Author
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Mramor, Alexander
- Subjects
- *
CURVATURE , *TOPOLOGY , *ARGUMENT - Abstract
In this article, we extend an unknottedness theorem for compact self-shrinkers to the mean curvature flow to shrinkers with finite topology and one asymptotically conical end, which conjecturally comprises the entire set of self-shrinkers with finite topology and one end. The mean curvature flow itself is used in the argument presented. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
4. Inverse spectral problem for differential pencils with a frozen argument.
- Author
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Hu, Yi-Teng and Sat, Murat
- Abstract
This paper deals with differential pencils possessing a term depending on the unknown function with a fixed argument. We deduce the so called main equation together with its fine structure for the spectral problem. Then, according to the boundary conditions and the position of argument, we describe two cases: degenerate and non-degenerate. For these two cases, the uniqueness of inverse spectral problem is studied and a constructive procedure for reconstructing the potentials along with necessary and sufficient conditions of the inverse problem solvability are obtained. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
5. Paul and Jewish Sacrifices: Perspectives and Arguments.
- Author
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Pereira-Delgado, Álvaro and Díez-Herrera, Pablo
- Subjects
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SYNAGOGUES , *PRIMITIVE & early church, ca. 30-600 , *ARGUMENT , *TEMPLES , *JUDAISM - Abstract
According to the traditional perspective, the early Christians refused to continue with the temple sacrifice. Christ on the cross had already atoned for all sins. Recently, other scholars, especially those belonging to the Radical New Perspective on Paul (or "Paul within Judaism" research), have argued instead that Paul carried on with temple worship, considered it efficacious, and expected Christ-following Jews to continue with the sacrifice. In this research we will investigate the positions of the different perspectives on Paul's attitude toward Jewish sacrifices and evaluate the arguments at stake. Our research leads us to the conclusion that Paul did not consider the temple sacrifices a problem, but neither did he give them any salvific relevance for the recipients of his letters. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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6. Estimating the Morse index of free boundary minimal hypersurfaces through covering arguments.
- Author
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Cordero-Misteli, Santiago and Franz, Giada
- Subjects
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BETTI numbers , *HYPERSURFACES , *RIEMANNIAN manifolds , *ARGUMENT - Abstract
Given a compact Riemannian manifold, of dimension between 3 and 7, with boundary, we adapt Song's covering method to the free boundary case to show that the Morse index of a free boundary minimal hypersurface grows linearly with the sum of its Betti numbers, where the constant of growth depends on an upper bound on the area of the free boundary minimal hypersurface in question. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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7. Categories of modules, comodules and contramodules over representations.
- Author
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Balodi, Mamta, Banerjee, Abhishek, and Ray, Samarpita
- Subjects
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ALGEBRA , *ARGUMENT - Abstract
We study and relate categories of modules, comodules and contramodules over a representation of a small category taking values in (co)algebras, in a manner similar to modules over a ringed space. As a result, we obtain a categorical framework which incorporates all adjoint functors between these categories in a natural manner. Various classical properties of coalgebras and their morphisms arise naturally within this theory. We also consider cartesian objects in each of these categories, which may be viewed as counterparts of quasi-coherent sheaves over a scheme. We study their categorical properties using cardinality arguments. Our focus is on generators for these categories and on Grothendieck categories, because the latter may be treated as replacements for noncommutative spaces. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
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8. Why we do not need demonstrative proof for God's existence to know that God exists: Robert Nozick's case for the existence of God.
- Author
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Novaković, Aleksandar
- Subjects
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PROOF of God , *METAPHYSICS , *ARGUMENT - Abstract
As a counterpoint to demonstrative proofs in metaphysics, Robert Nozick presented the case for God's existence based on the value of personal experiences. Personal experiences shape one's life, but this is even more evident with extraordinary experiences, such can be religious ones. In the next step, says the argument, if those experiences can be explained only by invoking the concept of the Supreme Being, then God exists. The second step mirrors scientific explanation constituting what Nozick calls the "argument to the best explanation." The argument is set against the background of Nozick's methodology which rejects demonstrative proofs in metaphysics. Its purpose is threefold. It aims to establish a certain sort of experience (religious/spiritual) as a legitimate basis for the argumentation; it aims to show that it is not philosophically blasphemous to explain such experiences by introducing a concept of divinity. Finally, it seeks to showcase the non-dogmatic, investigative nature of the argument. By exploring the merits of Nozick's proposal, I will try to elucidate all three components, which should pave the way for a broader discussion on the role of non-demonstrative arguments in metaphysics. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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9. On Emergence, Again.
- Author
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Ferrari, Francesco Maria and Bickhard, Mark H.
- Subjects
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MATERIALISM , *CAUSATION (Philosophy) , *ARGUMENT , *SUCCESS - Abstract
The aim of the present paper is twofold. First, we are interested in assessing the validity of one version of Kim's argument against genuine higher level causation. Second, we discuss Wilson's proposal to consider a weaker notion of emergence as genuinely metaphysical and compatible with Non-Reductive Physicalism. Our conclusion is that both proposals fail: the first in preempting genuine (strong) emergent causation, whereas the second in ensuring a genuinely metaphysical status to weak emergence. After all, Wilson's proposal strongly depends on the success of Kim's, not only because it takes it as valid but, also, because in pursuing its own weaker model it shares the presuppositions that led Kim's to failure. At the end of the day, Wilson's conception of genuine weak emergence either breaks causal closure or is merely stipulative, namely confined at the descriptive level. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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10. A Modal Contextualist Account of Essentialist Claims as a Response to Kit Fine.
- Author
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Nencha, Cristina
- Subjects
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ESSENTIALISM (Philosophy) , *INTUITION , *CONTEXTUALISM (Philosophy) , *ARGUMENT , *SCHOLARS - Abstract
Kit Fine advanced a remarkable objection to the Modal Account of Essentialism. Fine's concern is commonly thought to have put the modal account in serious jeopardy. I believe that Fine's objection is mainly based on two intuitions. As a reaction to Fine's argument, while many scholars have abandoned the modal account, others have attempted to save it. The main strategy in the last direction consists in adding to the modal criterion a condition that is supposed to hold universally. For different reasons, this strategy ends up rejecting part of the first Fine's intuition. I believe that a modal contextualist approach to essentialist claims, through the addition of a 'particularist' condition to the modal criterion, can provide an interesting alternative for those who wish to maintain a modal approach to essentialism. I will show that this approach, while rejecting the second Finean intuition, is able to account for his first intuition. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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11. Qua-Objects, (Non-)Derivative Properties and the Consistency of Hylomorphism.
- Author
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Campdelacreu, Marta and Oms, Sergi
- Subjects
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SCULPTORS , *CLAY , *STATUES , *ARGUMENT - Abstract
Imagine a sculptor who molds a lump of clay to create a statue. Hylomorphism claims that the statue and the lump of clay are two different colocated objects that have different forms, even though they share the same matter. Recently, there has been some discussion on the requirements of consistency for hylomorphist theories. In this paper, we focus on an argument presented by Maegan Fairchild, according to which a minimal version of hylomorphism is inconsistent. We argue that the argument is unsound or, at best, it just points to a well-known problem for hylmorphist theories. Additionally, we explore some general consequences of this fact. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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12. Seizing the World: From Concepts to Reality.
- Author
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Hommen, David
- Subjects
- *
REALISM , *ARGUMENT , *POSSIBILITY , *PERSONAL property - Abstract
In this essay, I shall defend a transcendental argument for epistemological realism: the view that mind-independent yet cognitively accessible entities exist. The proposed argument reasons from the fact that we are conceptual creatures to the existence of a knowable outer world as a condition of the possibility of such creatures. I first lay down my general approach to concepts and conceptualization, according to which concepts are rules that agents follow in their cognitive activities. I go on to explicate the peculiar normative nature of rules and rule-following, from which I extract, following Wittgensteinian considerations, an intractable problem for any idealist account of concept possession. I argue that the very possibility of conceptualizing requires the existence of external objects that enable the cognizer to regulate their use of concepts, and close with some remarks on the resultant nature and scope of metaphysical knowledge. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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13. The Transcendental Phenomenological Argument against Eternalism.
- Author
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Bernáth, László and Inan, Daniel Haydar
- Subjects
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ARGUMENT , *PHENOMENOLOGY - Abstract
In this paper, we argue against eternalism on the basis of certain phenomenological considerations regarding our experiential life in a relatively novel way. Contrary to well-known phenomenological arguments that attempt to refute tenseless theories of time, our argument that we call the Transcendental Phenomenological Argument against Eternalism is against both tenseless and tensed versions of eternalism. The argument is based on the fact that one experiences a phenomenological succession of experiences, and it shows that perdurantist forms of eternalism have to either deny this fact or should embrace ad hoc and metaphysically implausible assumptions about the nature of the mind. As we argue, neither of these options seems to be too promising. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
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14. Force mismatch in clausal ellipsis.
- Author
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Landau, Idan
- Subjects
- *
ANAPHORA (Linguistics) , *SEMANTICS , *ARGUMENT - Abstract
Recent studies reveal that the values of finiteness, tense, modality and polarity in a clause elided under sluicing may be distinct from their correlates in the antecedent clause. Focusing on CP ellipsis in Hebrew (an instance of Argument Ellipsis), we first demonstrate that it is distinct from both Null Complement Anaphora and (null) pronominalization, and then show that the values of force (declarative, imperative, interrogative) can be distinct between the antecedent and the missing clause as well. Possible mismatches are bidirectional, ruling out "subset" theories of identity in ellipsis and challenging certain accounts of the semantics of polar questions. Implications for the general theory of ellipsis are discussed and evaluated. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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15. Investigating the psychological reality of argument structure constructions and N1 of N2 constructions: a comparison between L1 and L2 speakers of English.
- Author
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Liu, Yingying and McManus, Kevin
- Subjects
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ARGUMENT , *LANGUAGE transfer (Language learning) , *NITROGEN , *ONLINE education , *CONSTRUCTION grammar - Abstract
This study examined L1 and L2 English speakers' sensitivity to constructional meaning by investigating their categorization of Noun1 of Noun2 constructions (e.g., results of studies) and argument structure constructions (e.g., Tom cut the bread). Participants were 40 L1 English speakers and 44 intermediate proficiency Chinese-speaking learners of L2 English, who completed two online sorting experiments. In each experiment, participants were instructed to (i) sort the stimuli according to their overall meaning and (ii) provide explanations for their sorting decisions. Results showed that EFL users preferred construction-based sorting for the argument structure stimuli but not the Noun1 of Noun2 stimuli. However, L1 English speakers showed a preference toward word-based sorting for both construction types. Participants' self-reported explanations for their sorts nonetheless indicated sensitivity to the constructional meanings of argument structure constructions and Noun1 of Noun2 constructions. Additionally, language users were found more likely to produce construction-based sorts with more time spent on the task. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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16. Oscillation of Odd Order Linear Differential Equations with Deviating Arguments with Dominating Delay Part.
- Author
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Baculíková, Blanka
- Subjects
- *
LINEAR orderings , *OSCILLATIONS , *FUNCTIONAL differential equations , *ARGUMENT , *LINEAR differential equations , *DELAY differential equations - Abstract
In this paper new oscillatory criteria for odd order linear functional differential equations of the type y (n) (t) + p (t) y (τ (t)) = 0 have been established. Deviating argument τ(t) is supposed to have dominating delay part. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
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17. Chow rings of stacks of prestable curves II.
- Author
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Bae, Younghan and Schmitt, Johannes
- Subjects
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ARGUMENT , *MATHEMATICS , *FORUMS , *ADDITIVES - Abstract
We continue the study of the Chow ring of the moduli stack 픐 g , n of prestable curves begun in [Y. Bae and J. Schmitt, Chow rings of stacks of prestable curves I, Forum Math. Sigma 10 2022, Paper No. e28]. In genus 0, we show that the Chow ring of 픐 0 , n coincides with the tautological ring and give a complete description in terms of (additive) generators and relations. This generalizes earlier results by Keel and by Kontsevich and Manin for the spaces of stable curves. Our argument uses the boundary stratification of the moduli stack together with the study of the first higher Chow groups of the strata, in particular providing a new proof of the results of Kontsevich and Manin. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
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18. "Invectivity" and Theology: Martin Luther's Ad librum Ambrosii Catharini (1521) in Context.
- Author
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Rasmussen, Tarald
- Subjects
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THEOLOGY , *INVECTIVE , *PAPACY , *POPES , *ARGUMENT , *HERESY - Abstract
Luther's treatise is presented as an answer to attacks from the Italian Dominican Ambrosius Catharinus. The language is highly invective, and Luther's argument culminates in a comprehensive biblical verification of a terrifying truth: that the pope is the Antichrist foreseen in several biblical texts. The papal Curia is part of the Antichrist's realm. Relating to Heiko Oberman's thoughts on the theological roots of Luther's "invectivity," the article offers a closer look into Luther's radically offensive language in his early years, arguing that it was closely linked to his central theological convictions at least since 1520/21. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
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19. A Defense on the Usefulness of 'Big-G' Grounding.
- Author
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Kortabarria, Markel
- Subjects
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SKEPTICISM , *METAPHYSICS , *CONCORD , *IDIOMS , *ARGUMENT - Abstract
Contemporary metaphysics has undergone a change of perspective due to the irruption of Grounding in discussions of metaphysical dependence. Proponents argue that Grounding is the primitive relationship of determination underlying many of the traditionally posited idioms of metaphysical dependence. In a recent line of scepticism Jessica Wilson has argued that the inability of the notion to be informatively effective regarding substantial matters of metaphysical determination renders it useless in the face of theoretical work. To supply this lack of informativeness proponents must resort to the already available set of specific 'small-g' relations, which renders the formulation of 'big-G' Grounding pre-theoretically unmotivated. In response two motivations are said to remain: The priority and unity arguments. Wilson insists that neither of these motivations succeeds in establishing 'big-G' Grounding as theoretically useful. I argue that none of Wilson's critiques succeeds in establishing eliminative scepticism. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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20. Promising Paths and Dead Ends in Evolutionary Theodicy: A Second Reply to Eikrem and Søvik.
- Author
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Wahlberg, Mats
- Subjects
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THEODICY , *ARGUMENT , *CRITICISM , *GOOD & evil - Abstract
In this article, I first reflect on the background of the debate between myself and Eikrem and Søvik and make some clarificatory remarks about the term "Only Way argument", which figured in the article that started the exchange. I then map areas of agreement and disagreement between us, with an eye to discerning promising and less promising paths forward in the field of evolutionary theodicy. Finally, I respond to Eikrem's and Søvik's criticism of my previous arguments about token-goods. Zusammenfassung: In diesem Artikel reflektiere ich zunächst den Hintergrund meiner Debatte mit Eikrem und Søvik und mache einige verdeutlichende Bemerkungen zum „Only Way-Argument", das im ersten Artikel dieses Austausches eine Rolle spielte. Anschließend erläutere ich, in welchen Punkten wir einer Meinung sind und in welchen nicht, um dadurch vielversprechende von weniger vielversprechenden Ansätzen im Bereich der evolutionären Theodizee unterscheiden zu können. Zum Schluss antworte ich auf Eikrems und Søviks Kritik an meinen bisherigen Argumenten zu token-Güter. [ABSTRACT FROM AUTHOR]
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- 2023
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21. τὰ στοιχεῖα τοῦ κόσμου Again: Interpreting Cosmos in Gal 4,3 and 9 as Prepuce (or Foreskin).
- Author
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Barrier, Jeremy W.
- Subjects
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COMMUNITIES , *PENIS , *ARGUMENT , *CIRCUMCISION , *TERMS & phrases , *MALES - Abstract
The meaning of the phrase τὰ στοιχεῖα τοῦ κόσμου in Gal 4,3 has been debated for nearly two millenia. A new understanding of Paul's utilization of the term τοῦ κόσμου is considered in this essay. In addition to ὁ κόσμος meaning "the world" in Gal 4,3, an argument can be made that ὁ κόσμος is a reference to the "adornment" of the penis (i. e., the foreskin). The lexicographical evidence supports this reading. In other words, the reference to κόσμος in Gal 4,3 is an additional critique of the Galatians' decision to circumcise the male members of their communities. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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22. Grammatically relevant aspects of meaning and verbal polysemy.
- Author
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McNally, Louise and Spalek, Alexandra Anna
- Subjects
- *
POLYSEMY , *ENGLISH language , *SPANISH language , *VERBS , *ARGUMENT - Abstract
The debate over the relation between grammatically relevant (specifically, what we term event referential) and idiosyncratic aspects of verb meaning has produced a considerable literature. Some authors, such as Levin and Rappaport Hovav, have appealed to figurative uses of verbs as a source of data when the analysis of their literal uses has been controversial, a move that has sometimes been criticized. However, the question of whether figurative uses of verbs preserve the event referential properties of their literal counterparts and are therefore a valid source of data has not, to our knowledge, been systematically explored. We offer two detailed cross-linguistic case studies of Spanish and English verbs to provide an argument that figurative verb uses indeed are a reliable source of evidence for identifying event referential components of meaning: In each case study we find clear evidence for the preservation of these components across uses, indicating that these aspects of meaning both constrain and facilitate figurative uses of verbs. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
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23. Two Notes on Composition.
- Author
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Biro, John
- Subjects
- *
PHILOSOPHERS , *ONTOLOGY , *ARGUMENT , *EXPLANATION , *REDUNDANCY in engineering - Abstract
If, as some philosophers maintain, there are no composites, we do not have to ask whether, as others hold, composition is identity. Here I argue that both groups are wrong: there are composites, and composition is not identity. I examine one argument for excluding composites from our ontology, based on their alleged causal redundancy. I give reason to think that composites are ineliminable in causal explanations of macroscopic effects. I go on to argue that the relation between composites and their components is not one of identity. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
24. Can Non-Causal Explanations Answer the Leibniz Question?
- Author
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Lemanski, Jens
- Subjects
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EXPLANATION , *INTENTION , *ARGUMENT - Abstract
Leibniz is often cited as an authority when it comes to the formulation and answer strategy of the question "Why is there something rather than nothing?" Yet much current research assumes that Leibniz advocates an unambiguous question and strategy for the answer. In this respect, one repeatedly finds the argument in the literature that alternative explanatory approaches to this question violate Leibniz's intention, since he derives the question from the principle of sufficient reason and also demands a causal explanation to the question. In particular, the new research on non-causal explanatory strategies to the Leibniz question seems to concern this counter-argument. In this paper, however, I will argue that while Leibniz raises the question by means of the principle of sufficient reason, he even favours a non-causal explanatory strategy to the question. Thus, a more accurate Leibniz interpretation seems not only to legitimise but also to support non-causal explanations to the Leibniz question. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
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25. Fictional Universal Realism.
- Author
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Goodman, Jeffrey
- Subjects
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REALISM , *ARGUMENT - Abstract
Certain realists about properties and relations identify them with universals. Furthermore, some hold that for a wide range of meaningful predicates, the semantic contribution to the propositions expressed by the sentences in which those predicates figure is the universal expressed by the predicate. I here address ontological issues raised by predicates first introduced to us via works of fiction and whether the universal realist should accept that any such predicates express universals. After assessing arguments by Braun, D. (2015. "Wondering about Witches." In Fictional Objects, edited by S. Brock, and , A. Everett, 71–113. Oxford: Oxford University Press) and Sawyer, S. (2015. "The Importance of Fictional Properties." In Fictional Objects, edited by S. Brock, and A. Everett, 208–29. Oxford: Oxford University Press) for fictional universal anti-realism, I propose a novel, Kripke-inspired argument for the same conclusion. I ultimately defend the claim that while this argument presents the strongest case for fictional universal anti-realism, it is nonetheless unsound. I conclude that nothing stands in the way of accepting that some fictional predicates express fictional universals. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
26. The use of clarificatory metaphors in argumentative discourse in British Public Bill Committee debates.
- Author
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Renardel de Lavalette, Kiki Y., Andone, Corina, and Steen, Gerard J.
- Subjects
- *
METAPHOR , *DEBATE , *ARGUMENT , *TAXATION , *PORNOGRAPHY - Abstract
The article presents the discussion on metaphors being employed for clarificatory purposes in British parliamentary debates. Topics include Parliamentary debates typically involving an exchange of arguments concerning complex issues such as taxation and welfare; and Debbonaire inviting the committee members for using the knowledge of visiting a cinema in better understanding the services involved in providing online pornographic content.
- Published
- 2022
- Full Text
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27. 1Cor 15,40–41: Paul and the Heavenly Bodies.
- Author
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Granger Cook, John
- Subjects
- *
PHILOSOPHERS , *AFFIRMATIONS (Self-help) , *TRANSLATORS , *ARGUMENT , *SCHOLARS - Abstract
Interpreters who have claimed that Paul viewed the heavenly bodies of 1Cor 15,40–41 as living beings have used two basic arguments that are each beset by inherent weaknesses. One enumerates the views of various Hellenistic philosophers and others concerning the animate nature of the stars. The other argument claims that all usages of σῶμα in Paul refer to organic entities. Scholars have often ignored handbooks such as those of Aetius that include many alternative views. Paul based his affirmations on sense experience and probably believed that the heavenly bodies were creations of God — but not animate beings. A corollary of this conclusion is that Paul's statements about heavenly bodies do not indicate anything about the composition of the σῶμα πνευματικόν in 1Cor 15. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
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28. Evolutionary Theodicy and the Type-Token Distinction: A Reply to Eikrem and Søvik.
- Author
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Wahlberg, Mats
- Subjects
- *
THEODICY , *ARGUMENT , *GOD , *SUFFERING , *LIBERTY - Abstract
How can the immense amount of suffering and waste inherent in the evolutionary process be reconciled with the existence of a perfectly good and omnipotent God? A widely embraced proposal in the area of "evolutionary theodicy" is the so-called "Only Way"-argument. This argument contends that certain valuable goods – in particular, creaturely independence and human freedom – can only come about through a genuinely indeterministic and partly uncontrolled process of evolution. In a previous article, I have argued that the "Only Way"-argument can be defeated by a "Twin Earth"-thought experiment: If God is omnipotent, he could have created – directly, without evolution – creatures that are molecule-for-molecule identical to those that he actually created through evolution. If the creatures that he actually created have freedom and independence, there is no valid reason to deny that the non-evolved "twin creatures" would also be free and independent. Recently, Eikrem and Søvik (ES) have suggested a way of blocking my Twin Earth-argument by appealing to the distinction between type-values and token-values (or type-goods and token-goods). While ES admit that the Twin Earth-argument shows the non-necessity of evolution for the existence of certain type-goods, they argue that an evolutionary creation can be justified by appeal to valuable token-goods (unique particulars) that could not have existed without evolution. In this article, I respond to ES's token-goods argument by showing that it is incompatible with a basic presupposition of "Only Way" evolutionary theodicies, namely the claim that the evolutionary process is genuinely indeterministic and partly uncontrolled. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
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29. Hydromagnetic effects on non-Newtonian Hiemenz flow.
- Author
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Sarkar, Suman and Sahoo, Bikash
- Subjects
- *
STAGNATION point , *STAGNATION flow , *NON-Newtonian flow (Fluid dynamics) , *NON-Newtonian fluids , *BOUNDARY value problems , *ORDINARY differential equations - Abstract
The stagnation point flow of a non-Newtonian Reiner–Rivlin fluid has been studied in the presence of a uniform magnetic field. The technique of similarity transformation has been used to obtain the self-similar ordinary differential equations. In this paper, an attempt has been made to prove the existence and uniqueness of the solution of the resulting free boundary value problem. Monotonic behavior of the solution is discussed. The numerical results, shown through a table and graphs, elucidate that the flow is significantly affected by the non-Newtonian cross-viscous parameter L and the magnetic parameter M. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
30. Metonymy and argument alternations in French communication frames.
- Author
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Law, James
- Subjects
- *
FRAMES (Social sciences) , *METONYMS , *FIGURES of speech , *LINGUISTIC change , *ARGUMENT - Abstract
This study describes metonymic argument alternations, in which a constructional slot can be filled by any of a set of semantic roles that index one another, and provides a diachronic corpus analysis of two such alternations in French. In the Reveal secret frame and other communication frames, the Medium can indexically replace the Speaker and the Topic can indexically replace the Information. A regression analysis shows that while topic for information metonymy is more syntactically and pragmatically restricted, medium for speaker metonymy has seen an increase in usage over time across the frame. This change is related to sociocultural developments and has implications for the study of figurative language and lexical semantic change. While it is well understood that figurative mechanisms such as metonymy affect language change, here it is demonstrated that cultural shifts drive changes in metonymies themselves, with corresponding impacts for linguistic structure. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
31. A Short Argument against Truthmaker Maximalism.
- Author
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Bondar, Oleh
- Subjects
- *
ARGUMENT , *PHYSICAL laws - Abstract
Keywords: truthmaker; maximalism; truth; Fitch EN truthmaker maximalism truth Fitch 27 36 10 04/15/22 20220401 NES 220401 1 Jago's Argument for Truthmaker Maximalism [6] has recently introduced a short Fitch-style argument for truthmaker maximalism - the thesis that every truth has a truthmaker. In [7], Jago agrees that (TRUEMAN'S FITCH) is as dialectically effective as (JAGO'S FITCH). What (FIXED FITCH) shows is that not true that every truth could be truthmakerless, and thus the truthmaker nihilism of (TRUEMAN'S FITCH) is not true. Jago's (FIXED FITCH) intends to show that (TRUEMAN'S FITCH) claims something false - it is not possible that every truth A could be a truthmakerless truth. [Extracted from the article]
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- 2022
- Full Text
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32. The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups.
- Author
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Chousionis, Vasileios, Li, Sean, and Young, Robert
- Subjects
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ARGUMENT , *CHARTS, diagrams, etc. , *HILBERT-Huang transform - Abstract
We show that the β-numbers of intrinsic Lipschitz graphs of Heisenberg groups ℍ n {\mathbb{H}_{n}} are locally Carleson integrable when n ≥ 2 {n\geq 2}. Our main bound uses a novel slicing argument to decompose intrinsic Lipschitz graphs into graphs of Lipschitz functions. A key ingredient in our proof is a Euclidean inequality that bounds the β-numbers of the original graph in terms of the β-numbers of many families of slices. This allows us to use recent work of Fässler and Orponen (2020) which asserts that Lipschitz functions satisfy a Dorronsoro inequality. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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33. Putting the argument back into argument structure constructions.
- Author
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Romain, Laurence
- Subjects
- *
GRAMMATICAL categories , *FRAMES (Linguistics) , *HABIT , *ARGUMENT , *COGNITIVE linguistics , *LATENT semantic analysis - Abstract
Keywords: alternations; argument structure constructions; construction grammar; distributional semantics; vector space models EN alternations argument structure constructions construction grammar distributional semantics vector space models 35 64 30 02/14/22 20220201 NES 220201 1 Introduction In a paper exploring the competing motivations behind the organisation of argument structure constructions, John Du Bois concludes that "Grammars code best what speakers do most" ([3]: 363); that is, language follows speakers' experiences and perception of the world. The argument presented in [6] reconciles the verb-centred and the construction-centred approaches, as it is quite plausible that speakers are aware both of a verb's possible distribution across various argument structure constructions and of generalisations at (a) more abstract level(s). In another vein, [20] focuses on verb senses rather than simply verb lemmas in her analysis of periphrastic causative constructions and finds that different verb senses are attracted to different constructions. According to [21], argument structure constructions contribute meaning to the verb they occur with, and verbs profile a certain aspect of the basic event denoted by the construction. These clusters sometimes signal different verb senses (cf. I break i and I tear i ) or show that even when the verb meaning remains constant across most uses of the verb, certain kinds of themes are restricted to one construction (cf. I crease, crinkle i and I wrinkle i ). [Extracted from the article]
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- 2022
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34. Parasitic gaps aren't parasitic, or, the case of the Uninvited Guest.
- Author
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Culicover, Peter W. and Winkler, Susanne
- Subjects
- *
ISLANDS , *ARGUMENT - Abstract
A parasitic gap construction typically occurs when an otherwise illicit gap in an island is ameliorated by a gap elsewhere in the sentence. In this paper, we consider the relationship between the unacceptability of extraction from subject islands (ExtrSubj) and the amelioration associated with parasitic gaps. We argue that there is no parasitic gap mechanism per se that has the effect of making extraction from an island grammatical. Rather, the link between the two is a matter of processing complexity. Our central claim is that in ExtrSubj, the presence of a distinct referring argument in the predicate contributes processing complexity. This referring argument is the 'Uninvited Guest'. If an instance of ExtrSubj is of reduced acceptability, inclusion of the Uninvited Guest is likely to make it fully unacceptable, or 'ungrammatical' in conventional terms. On the other hand, linking of the argument position to the extracted A′ constituent – a 'parasitic gap' configuration – does not contribute additional processing complexity, thus giving rise to the appearance of amelioration. [ABSTRACT FROM AUTHOR]
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- 2022
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35. Proleptic PPs are arguments: consequences for the argument/adjunct distinction and for selectional switch.
- Author
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Zyman, Erik
- Subjects
- *
ARGUMENT , *SYNTAX (Grammar) - Abstract
One of the most significant results in syntax has been a deep empirical and, to some degree, theoretical understanding of the argument/adjunct distinction, which underlies a range of superficially disparate phenomena. Therefore, any phenomenon that seems to challenge the argument/adjunct distinction merits careful examination. This paper investigates just such a phenomenon: proleptic PPs. Previous claims about the argument/adjunct status of proleptic PPs are contradictory and mostly unsubstantiated. The paper subjects proleptic PPs to argument/adjunct diagnostics and shows that they unambiguously pattern as arguments: they cannot iterate, survive do so–replacement, or be stranded under vP-pseudoclefting; reconstruct for Condition C under vP-preposing; and are L-selected. They also pattern as arguments on a novel argument/adjunct diagnostic developed here, selectional switch: if adding XP to a structure changes the selectional interactions between a head Y and some ZP ≠ XP, then XP is an argument. Finally, the paper considers counterarguments to the view it defends, showing that they are unsuccessful or irrelevant. Thus, even XPs whose argument/adjunct status initially seems murky can turn out on closer scrutiny to pattern unambiguously as one or the other, supporting the traditional but not uncontested view that the argument/adjunct distinction runs deep, and suggesting that it may be categorical. [ABSTRACT FROM AUTHOR]
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- 2022
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36. "The toxic offspring of the viper's seed": Augustine's 418 Encounter with Emeritus of Caesarea Mauretaniae.
- Author
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Dunn, Geoffrey D.
- Subjects
- *
VIPERIDAE , *SEEDS , *COUNCILS & synods , *COMMISSIONERS , *ARGUMENT - Abstract
In 418 Augustine encountered Emeritus, one of his Donatist adversaries, in Caesarea Mauretaniae (modern Cherchell) in Mauretania Caesariensis. In the resultant work, Gesta cum Emerito, Augustine relived some of the arguments that had earlier been employed against the Donatist in 411, particularly by having Alypius read out passages of Aurelius' 411 letter to Marcellinus, the imperial commissioner (Epistula 128). Not only does Augustine shape our understanding of the 418 encounter but continues to take control of how the 411 confrontation was to be remembered. This paper will examine how Gesta cum Emerito saw the Donatist weakness in 411 being based upon their inconsistencies in dealing with schismatics, especially their treatment of Maximianists at the 394 synod in Bagaï, where Emeritus himself had condemned Maximian as "the toxic offspring of the viper's seed." The encounter gave Augustine an opportunity to highlight the Maximianists to an extent greater than the records of 411 indicate had been the case then. [ABSTRACT FROM AUTHOR]
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- 2021
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37. The Implantation Argument: Simulation Theory is Proof that God Exists.
- Author
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Grupp, Jeff
- Subjects
- *
PROOF theory , *ARGUMENT , *PROOF of God , *GOD , *REIFICATION - Abstract
I introduce the implantation argument, a new argument for the existence of God. Spatiotemporal extensions believed to exist outside of the mind, composing an external physical reality, cannot be composed of either atomlessness (infinite divisibility, atomless gunk), or of Democritean atoms (extended simples), and therefore the inner experience of an external reality containing spatiotemporal extensions believed to exist outside of the mind does not represent the external reality (inner mind does not represent external, mind-independent, reality), the mind is a mere cinematic-like mindscreen (a mindscreen simulation), implanted into the mind by a creator-God. It will be shown that only a creator-God can be the implanting creator of the mindscreen simulation (the creator of reality), and other simulation theories, such as Bostrom's famous account, that do not involve a creator-God as the mindscreen simulation creator, involve a reification fallacy. [ABSTRACT FROM AUTHOR]
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- 2021
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38. "And it rushed in": A new proposal for interpreting GJudas 57,24.
- Author
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Edsall, Benjamin A.
- Subjects
- *
NOCTILUCENT clouds , *TRANSLATING & interpreting , *POINT cloud , *PHYSICAL cosmology , *ARGUMENT , *SCHOLARSHIPS - Abstract
The present argument proposes a new interpretation for GJudas 57,24, a famously difficult passage in which someone enters a luminous cloud. While scholarship is divided over whether the phrase ⲁϥϥⲱⲕ applies to Judas or Jesus, there is a previously overlooked third option that is syntactically close to hand: it is Judas's star. This translation, further, fits with important themes in the Gospel of Judas, both theological and narratological. [ABSTRACT FROM AUTHOR]
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- 2021
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39. Oscillation theorems for certain second-order nonlinear retarded difference equations.
- Author
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Chatzarakis, George E., Grace, Said R., and Jadlovská, Irena
- Subjects
- *
OSCILLATIONS , *NONLINEAR oscillations , *DIFFERENCE equations , *NONLINEAR difference equations - Abstract
This paper deals with the oscillation of second-order nonlinear retarded difference equations. We present some new oscillation criteria via comparison with first-order equations whose oscillatory behavior are known. The results are generalized to be applicable to different kinds of neutral equations. An example is also given to demonstrate the applicability of the obtained conditions. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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40. Disagreement among Arabic speakers in faceless computer-mediated communication.
- Author
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Harb, Mustafa
- Subjects
- *
TELEMATICS , *ARABIC language , *CONTRADICTION , *ARGUMENT , *TAXONOMY - Abstract
This study provides a pragmatic taxonomy of asynchronous computer-mediated expressions of disagreement by Arabic speakers. It draws on a specialized corpus of approximately fifty thousand words in the form of naturally occurring comments/posts compiled over a period of ninety days from 19 Arabic Facebook Pages and Groups in three topic areas: (i) religion, (ii) politics and (iii) society. Following Relational Work (Locher and Watts 2005, 2008), I propose ten discursive strategies as underlying patterns of the pragmatic realization of disagreement among Arabic speakers. These include IRRELEVANCY CLAIM, CONTRADICTION, COUNTERCLAIM, CHALLENGE, EXCLAMATION, VERBAL IRONY, ARGUMENT AVOIDANCE, MILD SCOLDING, SUPPLICATION, and VERBAL ATTACK. With the exclusion of some examples, I argue that most of these strategies are neither polite nor impolite, but rather appropriate (i. e., politic) in the context of disagreement. I also provide evidence that sociocultural and religious norms have impacts on SUPPLICATION and MILD SCOLDING. [ABSTRACT FROM AUTHOR]
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- 2021
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41. Goal, source, and route preverbs in Latin: their interaction with spatial datives.
- Author
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Acedo-Matellán, Víctor
- Subjects
- *
ARGUMENT , *SEMANTICS , *VERBS , *ENCODING - Abstract
Prefixed verbs in Latin may take an argument in the dative case, interpreted as the ground of the spatial relation codified by the preverb. This phenomenon is constrained by the semantics of that spatial relation: while preverbs encoding a location, a goal, or a source of motion generally accept the dative argument, preverbs encoding a route do not. I propose a syntactic analysis of this phenomenon, framed within the Spanning framework. I assume an analysis of the spatial dative as an applied argument interpreted as a possessor of the final location of motion. Developing a configurational theory of spatial relations, I show how only the syntax-semantics of the preverbs interpreted as encoding a location, be this final (a goal), initial (a source), or unrelated to motion (a static location), is compatible with the projection of an Appl(icative)P integrating the dative argument. By the same token, pure route preverbs, involving a path but not a location, are correctly predicted to disallow the projection of ApplP, and hence the spatial dative. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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42. On the argument structure of complex denominal verbs in Latin: a syntactic approach.
- Author
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Mateu, Jaume
- Subjects
- *
VERBS , *ROMANCE languages , *SYNTAX (Grammar) , *ARGUMENT , *SUFFIXES & prefixes (Grammar) , *PREDICATE (Logic) - Abstract
In this paper I offer a syntactic approach to the formation of complex denominal verbs in Latin. Two basic types of prefixed locative denominal verbs can be distinguished in this language: location ones "agglutinate" a PP expressing location, whereas locatum ones contain a noun expressing the locatum object. Assuming a syntactic distinction between Incorporation and Conflation in denominal verb formation, I claim that prefixed location verbs are formed via Incorporation (i.e. Internal Merge), whereas prefixed locatum verbs are formed via Conflation (i.e. External Merge). Unprefixed locative verbs can only be interpreted as locatum predicates, but unlike prefixed locatum verbs, they are analyzed as involving a possessive relation and as being formed via incorporation. The present approach also provides an explanation of why Romance locatum verbs, unlike location ones, are not necessarily prefixed. It is also claimed that unprefixed and prefixed locatum verbs in Romance are formed via incorporation rather than via conflation, its reason being related to the typological shift from the presence of a typical conflation pattern in satellite-framed Latin to a lack of it in verb-framed Romance languages. Finally, I show that Latin prefixed denominal verbs and prefixed deadjectival ones are all telic and project a ResultP in syntax. In contrast, this projection can be argued to be absent from unprefixed denominal and deadjectival verbs. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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43. NP-ellipsis and numeral classifiers in Korean.
- Author
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Park, So-Young
- Subjects
- *
NUMERALS , *AMBIGUITY , *ARGUMENT - Abstract
The syntactic status of numeral classifiers with respect to NP-ellipsis in classifier languages has been a controversial subject in many recent discussions. Addressing this issue, this article argues that Korean numeral classifiers can serve as functional heads that license NP-ellipsis via PF-deletion. A null NP appearing in a numeral classifier context cannot be identified with any other null categories, such as a pro or a null NP pro-form. This null NP induces a different reading from a pro, especially when a possessor argument is stacked with a numeral classifier construction. Unlike an NP pro-form, it allows the extraction of an internal argument and exhibits a complementary distribution with kes 'one', a visible counterpart of a Korean NP pro-form. This article's claim gains additional support from the asymmetries in NP-ellipsis of a uy-marked numeral classifier, contingent on its ambiguity, such as a 'quantity' or 'property' interpretation. In addition, the distribution of bare numerals in relation to the NP pro-form kes offers further evidence, reinforcing the claim. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
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44. The expression of habituality in Biblical Hebrew.
- Author
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Boneh, Nora and Sofer, Hagit
- Subjects
- *
VERBS , *ARGUMENT , *ATTENTION - Abstract
The aim of the article is to expand the crosslinguistic scope of the study of the expression of habituality in language, and to provide further support for the claim that the expression of habituality is basically independent from that of tense and aspect, although it closely interacts with it. The argument for this independence is based on the following findings: First, habituality in Biblical Hebrew is not marked morphologically: any verbal form of the verb system can serve as a basis to express habituality irrespective of its aspectual and temporal qualities. In this respect, the periphrastic form hāyā qōṭēl receives special attention, since although it does not appear in episodic occurrences, it nevertheless patterns with non-recurring positional predicates (e.g., stand, live as in She used to live here), illustrating that it selects statives that can hold over prolonged periods of time, subsuming habituals, rather than being exclusively dedicated to the expression of habituality. Second, and most importantly, this pattern is diachronically stable. When observing Early and Late Biblical Hebrew, nothing alters in the way verbal forms pattern in clauses expressing habituality, even though the make-up of the verbal systems has changed over time. Additionally, the findings confirm the importance of paying attention to the availability of habitual interpretation with and without a modifying quantificational expression, by lending support to the correlation established between the bareness of habituals and their aspectual properties. [ABSTRACT FROM AUTHOR]
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- 2021
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45. Counterpart Theories: The Argument from Concern.
- Author
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Baber, Harriet E.
- Subjects
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ARGUMENT , *MODAL logic , *TIME perception - Abstract
Modal counterpart theory identifies a thing's possibly being F with its having a counterpart that is F at another possible world; temporal counterpart theory, the stage view, according to which people and other ordinary objects are instantaneous stages, identifies a thing's having been F or going to be F, with its having a counterpart that is F at another time. Both counterpart theories invite what has been called 'the argument from concern' (Rosen, G. 1990. "Modal Fictionalism." Mind 99 (395): 327–54). Why should I be concerned about my counterparts at other possible worlds or other times? I care about how things might have gone for me—not how they go for other people at other possible worlds; I care about my prospects—not the way go for other people at other times. Jiri Benovsky has argued that while modal counterpart theory can be defended against this style of argument, temporal counterpart theory cannot (Benovsky, J. 2015. "Alethic Modalities, Temporal Modalities, and Representation." Kriterion: Journal of Philosophy 29: 18–34). I argue that temporal counterpart theory, like modal counterpart theory, resists the argument from concern. [ABSTRACT FROM AUTHOR]
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- 2021
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46. Modest Dualism and Individuation of Mind.
- Author
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Mazarian, Alireza
- Subjects
- *
DUALISM , *INDIVIDUATION (Psychology) , *MIND & body , *METAPHYSICS , *ARGUMENT - Abstract
A persistent tradition in metaphysics of mind insists that there is a substantial difference between mind and body. Avicenna's numerous arguments, for a millennium, have encouraged the view that minds are essentially immaterial substances. In the first part, I redesign and offer five versions of such arguments and then I criticize them. First argument (indivisibility) would be vulnerable in terms of two counterexamples. Second argument (universals) confuses existence with location. Third argument (bodily tools) is less problematic than the first two, though I will say a few words about why it may also not be convincing. Fourth argument (infinity) may not support substance dualism, because, I think, abundance is very different from infinity. Fifth argument (senescence) depends on empirically incorrect premises. Hence, it seems that no Avicennian argument can reasonably save substance dualism. [ABSTRACT FROM AUTHOR]
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- 2021
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47. Proving God without Dualism: Improving the Swinburne-Moreland Argument from Consciousness.
- Author
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Blondé, Ward and Jansen, Ludger
- Subjects
- *
CONSCIOUSNESS , *DUALISM , *PROOF of God , *ARGUMENT , *GOD - Abstract
With substance dualism and the existence of God, Swinburne (2004, The Existence of God, Oxford University Press, Oxford) and Moreland (2010, Consciousness and the Existence of God, Routledge, New York) have argued for a very powerful explanatory mechanism that can readily explain several philosophical problems related to consciousness. However, their positions come with presuppositions and ontological commitments which many are not prepared to share. The aim of this paper is to improve on the Swinburne-Moreland argument from consciousness by developing an argument for the existence of God from consciousness without being committed to substance dualism. The argument proceeds by suggesting a solution to the exceptional-point-of-view problem, i.e., the question how it can be explained that there is a conscious being lucky enough to experience the point of view of a relatively tiny brain amidst a giant universe that is indifferent about which physical entities it brings about according to the laws of physics. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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48. "What is Man?" An Argument for the Christological Reading of Psalm 8 in Hebrews 2.
- Author
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Maston, Jason
- Subjects
- *
ARGUMENT , *READING , *HUMANITY , *CHRISTOLOGY , *INCARNATION - Abstract
Whether the author of Hebrews interpreted LXX Ps 8,5–7 as referring to humanity (the anthropological interpretation) or Christ (the Christological interpretation) has been widely debated. This essay strengthens the case for the Christological interpretation. After discussing the connections between Hebr 1,1–13 and 2,5–9, the article focuses on the citation and interpretation of LXX Ps 8,5–7 in Hebr 2,6–9. I contend that the author identified a three stage pattern in the psalm which he sees replicated in Jesus' life. The next stage of the argument shows how in 2,10–18 the author only applies two stages to the lives of believers. Believers do not complete the third stage which indicates that, for the author of Hebrews, the psalm is first about Jesus and then applicable to humanity. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
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49. A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument.
- Author
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Ali, Khalid K., Abd El salam, Mohamed A., and Mohamed, Emad M. H.
- Subjects
- *
LINEAR differential equations , *NONLINEAR differential equations , *NONLINEAR equations , *ALGEBRAIC equations , *FUNCTIONAL equations , *FUNCTIONAL differential equations - Abstract
In this paper, a numerical technique for a general form of nonlinear fractional-order differential equations with a linear functional argument using Chebyshev series is presented. The proposed equation with its linear functional argument represents a general form of delay and advanced nonlinear fractional-order differential equations. The spectral collocation method is extended to study this problem as a discretization scheme, where the fractional derivatives are defined in the Caputo sense. The collocation method transforms the given equation and conditions to algebraic nonlinear systems of equations with unknown Chebyshev coefficients. Additionally, we present a general form of the operational matrix for derivatives. A general form of the operational matrix to derivatives includes the fractional-order derivatives and the operational matrix of an ordinary derivative as a special case. To the best of our knowledge, there is no other work discussed this point. Numerical examples are given, and the obtained results show that the proposed method is very effective and convenient. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
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50. Concentration behavior of semiclassical solutions for Hamiltonian elliptic system.
- Author
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Zhang, Jian, Chen, Jianhua, Li, Quanqing, and Zhang, Wen
- Subjects
- *
HAMILTONIAN systems , *EVIDENCE , *ARGUMENT - Abstract
In this paper, we study the following nonlinear Hamiltonian elliptic system with gradient term {−ϵ2Δψ + ϵb→ ⋅ ∇ψ + ψ + V(x)φ = ƒ(|η|)φ in RN, −ϵ2Δφ − ϵb→ ⋅ ∇φ + φ + V(x)ψ = ƒ(|η|)ψ in RN, where η = (ψ, φ) : ℝN → ℝ2, ϵ is a small positive parameter and b→ is a constant vector. We require that the potential V only satisfies certain local condition. Combining this with other suitable assumptions on ƒ, we construct a family of semiclassical solutions. Moreover, the concentration phenomena around local minimum of V, convergence and exponential decay of semiclassical solutions are also explored. In the proofs we apply penalization method, linking argument and some analytical techniques since the local property of the potential and the strongly indefinite character of the energy functional. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
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