Combining Texts

All the ideas for 'fragments/reports', 'Axiomatic Thought' and 'The Analytic/Synthetic Distinction'

expand these ideas     |    start again     |     specify just one area for these texts


16 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
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 / A. A Priori Knowledge / 1. Nature of the A Priori
The traditional a priori is justified without experience; post-Quine it became unrevisable by experience [Rey]
19. Language / A. Nature of Meaning / 8. Synonymy
Externalist synonymy is there being a correct link to the same external phenomena [Rey]
19. Language / E. Analyticity / 1. Analytic Propositions
'Married' does not 'contain' its symmetry, nor 'bigger than' its transitivity [Rey]
Analytic judgements can't be explained by contradiction, since that is what is assumed [Rey]
Analytic statements are undeniable (because of meaning), rather than unrevisable [Rey]
The meaning properties of a term are those which explain how the term is typically used [Rey]
An intrinsic language faculty may fix what is meaningful (as well as grammatical) [Rey]
Research throws doubts on the claimed intuitions which support analyticity [Rey]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
If we claim direct insight to what is analytic, how do we know it is not sub-consciously empirical? [Rey]
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]