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All the ideas for 'Review of Chihara 'Struct. Accnt of Maths'', 'Philosophy of Natural Science' and 'Frege's Distinction of Sense and Reference'

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9 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
9182 Ancient names like 'Obadiah' depend on tradition, not on where the name originated [Dummett]
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]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
21507 Scientific explanation aims at a unifying account of underlying structures and processes [Hempel]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
9181 The causal theory of reference can't distinguish just hearing a name from knowing its use [Dummett]