Combining Texts

All the ideas for 'Science and Method', 'A General Principle to Explain Laws of Nature' and 'Philosophy of Mathematics'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
19395 Philosophy is sanctified, because it flows from God [Leibniz]
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 / A. Nature of Mathematics / 2. Geometry
10245 One geometry cannot be more true than another [Poincaré]
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]
9. Objects / F. Identity among Objects / 1. Concept of Identity
19394 Inequality can be brought infinitely close to equality [Leibniz]