Combining Texts

All the ideas for 'Issues of Pragmaticism', 'Mathematics without Numbers' and 'Nominalism'

expand these ideas     |    start again     |     specify just one area for these texts

8 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
8956 What is a singleton set, if a set is meant to be a collection of objects? [Szabó]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
8953 Abstract entities don't depend on their concrete entities ...but maybe on the totality of concrete things [Szabó]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
8954 Geometrical circles cannot identify a circular paint patch, presumably because they lack something [Szabó]
18. Thought / E. Abstraction / 5. Abstracta by Negation
8955 Abstractions are imperceptible, non-causal, and non-spatiotemporal (the third explaining the others) [Szabó]
19. Language / A. Nature of Meaning / 1. Meaning
19087 The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce]