Combining Texts

All the ideas for 'Mathematics without Numbers', 'Could a computer ever understand?' and 'On the Frame of Reference'

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5 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional quantification is just a variant of Tarski's account [Wallace, by Baldwin]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Quantum states in microtubules could bind brain activity to produce consciousness [Penrose]