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All the ideas for 'Review of Chihara 'Struct. Accnt of Maths'', 'Letters to Paul Pellison-Fontinier' and 'The Meaning of the Word'

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10 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
You can only define a statement that something is 'true' by referring to its functional possibilities [James]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
If the hypothesis of God is widely successful, it is true [James]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
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
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Clearly, force is that from which action follows, when unimpeded [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
Time doesn't exist, since its parts don't coexist [Leibniz]