Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Interview with Baggini and Stangroom' and 'Axiomatic Thought'

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

10 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
6855 Interesting philosophers hardly every give you explicitly valid arguments [Martin,M]
2. Reason / E. Argument / 1. Argument
6856 Valid arguments can be rejected by challenging the premises or presuppositions [Martin,M]
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]
12. Knowledge Sources / B. Perception / 1. Perception
6857 An error theory of perception says our experience is not as it seems to be [Martin,M]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 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
17968 By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert]