Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Elements of Law and Justice' and 'Could a computer ever understand?'

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6 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
14. Science / C. Induction / 2. Aims of Induction
19387 Hypotheses come from induction, which is comparison of experiences [Leibniz]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
4921 Quantum states in microtubules could bind brain activity to produce consciousness [Penrose]