Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Axiomatic Thought' and 'Pragmatism and Objective Truth'

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11 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth]
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]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]
14. Science / B. Scientific Theories / 1. Scientific Theory
Seeing reality mathematically makes it an object of thought, not of experience [Macbeth]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
For pragmatists a concept means its consequences [Macbeth]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
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]