Combining Texts

All the ideas for 'fragments/reports', 'Axiomatic Thought' and 'Difference and Repetition'

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12 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
'Difference' refers to that which eludes capture [Deleuze, by May]
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]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
'Being' is univocal, but its subject matter is actually 'difference' [Deleuze]
Ontology can be continual creation, not to know being, but to probe the unknowable [Deleuze]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Ontology does not tell what there is; it is just a strange adventure [Deleuze, by May]
Being is a problem to be engaged, not solved, and needs a new mode of thinking [Deleuze, by May]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Some reasonings are stronger than we are [Philolaus]
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]