Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Answer to 'What is Enlightenment?'' and 'De Mundo Praesenti'

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7 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 / C. Powers and Dispositions / 4. Powers as Essence
12714 The substantial form is the principle of action or the primitive force of acting [Leibniz]
9. Objects / D. Essence of Objects / 1. Essences of Objects
12743 A true being must (unlike a chain) have united parts, with a substantial form as its subject [Leibniz]
25. Social Practice / A. Freedoms / 3. Free speech
21058 Enlightenment requires the free use of reason in the public realm [Kant]