Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Axiomatic Thought' and 'Aristotelian commentaries'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
21757 Philosophy is the conceptual essence of the shape of history [Hegel]
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 / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
16751 Unity by aggregation, order, inherence, composition, and simplicity [Conimbricense, by Pasnau]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
16720 Secondary qualities come from temperaments and proportions of primary qualities [Conimbricense]
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]