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The Elimination of Direct Self-reference.
- Source :
- Studia Logica; Dec2023, Vol. 111 Issue 6, p1037-1055, 19p
- Publication Year :
- 2023
-
Abstract
- This paper provides a procedure which, from any Boolean system of sentences, outputs another Boolean system called the 'm-cycle unwinding' of the original Boolean system for any positive integer m. We prove that for all m > 1 , this procedure eliminates the direct self-reference in that the m-cycle unwinding of any Boolean system must be indirectly self-referential. More importantly, this procedure can preserve the primary periods of Boolean paradoxes: whenever m is relatively prime to all primary periods of a Boolean paradox, this paradox and its m-cycle unwinding have the same primary periods. In this way, we can produce an indirectly self-referential Boolean paradox with the same periodic characteristics as a known Boolean paradox. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00393215
- Volume :
- 111
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Studia Logica
- Publication Type :
- Academic Journal
- Accession number :
- 173517044
- Full Text :
- https://doi.org/10.1007/s11225-023-10060-7