Combining Texts

All the ideas for 'Reply to Fourth Objections', 'Review of Chihara 'Struct. Accnt of Maths'' and 'Review of 'The Price is Wrong' by B.Christophers'

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12 ideas

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]
17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism
The concept of mind excludes body, and vice versa [Descartes]
24. Political Theory / D. Ideologies / 11. Capitalism
Capitalists use their exceptional power to impose their own rules, and make the state their ally [Davies,W]
Economies have material, economic and capitalist layers [Davies,W]
Capitalism must mainly rely either on the labour market, or on the financial markets [Davies,W]
Capitalism is the anti-market, with opacity, monopolies, powers, exceptional profits and wealth [Davies,W]
Markets are transparent, with known prices and activity, and minimal profits [Davies,W]