Combining Texts

All the ideas for 'On the Necessity of Origin', 'Axiomatic Thought' and 'Varieties of Meaning'

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9 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17963 The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]
17966 Axioms must reveal their dependence (or not), and must be consistent [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
17967 To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
17965 The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
17964 Number theory just needs calculation laws and rules for integers [Hilbert]
9. Objects / E. Objects over Time / 10. Beginning of an Object
18892 Suppose a world where I'm from different gametes; add my gametes; which one is more me? [McGinn]
9. Objects / E. Objects over Time / 12. Origin as Essential
12019 McGinn falsely claims necessity of origin is a special case of the necessity of identity [Forbes,G on McGinn]
18. Thought / C. Content / 11. Teleological Semantics
23801 Biosemantics says content is useful mapping from a producer to a consumer system [Millikan, by Schulte]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
17968 By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]