Combining Texts

All the ideas for 'fragments/reports', 'Mathematical Thought from Ancient to Modern Times' and 'Elements of Intuitionism'

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6 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17606

Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite

15938

Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

15939

For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]

7. Existence / A. Nature of Existence / 3. Being / d. Non-being

18933

Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]

19. Language / F. Communication / 1. Rhetoric

5864	Destroy seriousness with laughter, and laughter with seriousness [Gorgias]

9866	Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]