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All the ideas for 'Review of Chihara 'Struct. Accnt of Maths'', 'Identity' and 'Essays on Intellectual Powers 1: Preliminary'

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11 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10185 Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10184 Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
10189 There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10186 If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
10187 Abstract algebra concerns relations between models, not common features of all the models [Burgess]
10188 How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
9. Objects / F. Identity among Objects / 1. Concept of Identity
8970 Our notion of identical sets involves identical members, which needs absolute identity [Hawthorne]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
23633 Many truths seem obvious, and point to universal agreement - which is what we find [Reid]
18. Thought / C. Content / 2. Ideas
23630 Only philosophers treat ideas as objects [Reid]
19. Language / A. Nature of Meaning / 9. Ambiguity
23629 The ambiguity of words impedes the advancement of knowledge [Reid]
26. Natural Theory / C. Causation / 1. Causation
23632 Similar effects come from similar causes, and causes are only what are sufficient for the effects [Reid]