Combining Texts

All the ideas for 'Essentials of Pragmatism', 'Axiomatic Thought' and 'Predest.,God's foreknowledge and contingents'

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10 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]
7. Existence / E. Categories / 5. Category Anti-Realism
16654 Our words and concepts don't always correspond to what is out there [William of Ockham]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
14794 Instead of seeking Truth, we should seek belief that is beyond doubt [Peirce]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
14792 A 'conception', the rational implication of a word, lies in its bearing upon the conduct of life [Peirce]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
14793 The definition of a concept is just its experimental implications [Peirce]
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]