Combining Texts

All the ideas for 'Paradoxes of the Infinite', 'The Extended Mind' and 'Models and Reality'

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11 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
9987 An aggregate in which order does not matter I call a 'set' [Bolzano]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
13655 The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro]
9915 V = L just says all sets are constructible [Putnam]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
9913 The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10856 A truly infinite quantity does not need to be a variable [Bolzano]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
9914 It is unfashionable, but most mathematical intuitions come from nature [Putnam]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
19743 A notebook counts as memory, if is available to consciousness and guides our actions [Clark/Chalmers]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
6176 A mechanism can count as 'cognitive' whether it is in the brain or outside it [Clark/Chalmers, by Rowlands]
19741 If something in the world could equally have been a mental process, it is part of our cognition [Clark/Chalmers]
19742 Consciousness may not extend beyond the head, but cognition need not be conscious [Clark/Chalmers]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
19744 If a person relies on their notes, those notes are parted of the extended system which is the person [Clark/Chalmers]