Combining Texts

All the ideas for 'Sentences', 'Philosophy and Scientific Image of Man' and 'Axiomatic Thought'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
21829 Philosophy aims to understand how things (broadly understood) hang together (broadly understood) [Sellars]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
16728 Logicians acknowledge too few things, while others acknowledge too many [Fitzralph]
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]
7. Existence / C. Structure of Existence / 2. Reduction
6550 Reduction requires that an object's properties consist of its constituents' properties and relations [Sellars]
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]