Combining Texts

All the ideas for 'works', 'Hat-Tricks and Heaps' and 'The Architecture of Mathematics'

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4 ideas

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
The smallest heap has four objects: three on the bottom, one on the top [Hart,WD, by Sorensen]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / b. Heat
Heat is a state of vibration, not a substance [Joule]
Joule showed that energy converts to heat, and heat to energy [Joule, by Papineau]