Combining Texts

All the ideas for 'Good and Evil', 'Axiomatic Thought' and 'The Problem of Possibilia'

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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]
10. Modality / B. Possibility / 1. Possibility
9212 Possible states of affairs are not propositions; a proposition can't be a state of affairs! [Fine,K]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
9213 The actual world is a possible world, so we can't define possible worlds as 'what might have been' [Fine,K]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
22489 'Good' is an attributive adjective like 'large', not predicative like 'red' [Geach, by Foot]
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]