Combining Texts

All the ideas for 'Introspection', 'Axiomatic Thought' and 'Moral Consciousness and Communicative Action'

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11 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The facts of geometry, arithmetic or statics order themselves into theories [Hilbert]
Axioms must reveal their dependence (or not), and must be consistent [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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
Number theory just needs calculation laws and rules for integers [Hilbert]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
The adverbial account of sensation says not 'see a red image' but be 'appeared to redly' [Shoemaker]
16. Persons / C. Self-Awareness / 1. Introspection
For true introspection, must we be aware that we are aware of our mental events? [Shoemaker]
Empirical foundationalism says basic knowledge is self-intimating, and incorrigible or infallible [Shoemaker]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Moral right is linked to validity and truth, so morality is a matter of knowledge, not an expression of values [Habermas, by Finlayson]
23. Ethics / B. Contract Ethics / 9. Contractualism
Move from individual willing of a general law, to willing norms agreed with other people [Habermas]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]