Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Community and Association' and 'Universals'

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8 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]
8. Modes of Existence / D. Universals / 1. Universals
8495 The distinction between particulars and universals is a mistake made because of language [Ramsey]
8493 We could make universals collections of particulars, or particulars collections of their qualities [Ramsey]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
8494 Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact [Ramsey]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
7492 Early societies are based on community, and modern societies on association [Tönnies, by Watson]