Combining Texts

All the ideas for 'works', 'Pragmatism in Retrospect' and 'Review of Chihara 'Struct. Accnt of Maths''

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10 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
15335 Peirce's theory offers anti-realist verificationism, but surely how things are is independent of us? [Horsten on Peirce]
14796 Independent truth (if there is any) is the ultimate result of sufficient enquiry [Peirce]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
17743 De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]
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]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
14795 Pragmatism is a way of establishing meanings, not a theory of metaphysics or a set of truths [Peirce]