Combining Texts

All the ideas for 'Aristotle and the Metaphysics', 'The Origin of the Work of Art' and 'Axiomatic Thought'

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11 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
15585 Later Heidegger sees philosophy as more like poetry than like science [Heidegger, by Polt]
2. Reason / D. Definition / 1. Definitions
11257 The Pythagoreans were the first to offer definitions [Politis, by Politis]
3. Truth / A. Truth Problems / 4. Uses of Truth
11235 'True of' is applicable to things, while 'true' is applicable to words [Politis]
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 / A. Nature of Existence / 3. Being / e. Being and nothing
11277 Maybe 'What is being? is confusing because we can't ask what non-being is like [Politis]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
11248 Necessary truths can be two-way relational, where essential truths are one-way or intrinsic [Politis]
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]