Kant's theory of space includes the idea that straight lines and planes can be defined in Euclidean geometry by a concept which nowadays has been revived in the field of fractal geometry: the concept of self-similarity. Absolute self-similarity of straight lines and planes distinguishes Euclidean space from any other geometrical space. Einstein missed this fact in his attempt to refute Kant's theory of space in his article ‘Geometrie und Erfahrung’. Following Hilbert and Schlick he took it for granted, mistakenly, that purely geometrical definitions of the concepts of straight line and plane are not feasible, except as “implicit definitions”. Therefore Einstein's criticism is not persuasive. [ABSTRACT FROM AUTHOR]
HUMAN geography, SOCIAL theory, SOCIAL constructionism, SOCIAL space, AREA measurement, PRESENCE (Philosophy), GEOGRAPHY, SYMBOLISM, PHILOSOPHY
Abstract
The article comments on and critiques an article by geographer Benno Werlen on social geography, social theory, and the social construction of space, published in this issue of the journal. Topics addressed include the measurement of space, the philosophical notion of presence, and symbolic aspects of geography.
Published
2013
Discovery Service for Jio Institute Digital Library
For full access to our library's resources, please sign in.