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Ideas for 'works (all lost)', 'Hat-Tricks and Heaps' and 'What is Cantor's Continuum Problem?'

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2 ideas

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes

18062	Set-theory paradoxes are no worse than sense deception in physics [Gödel]
	Full Idea: The set-theoretical paradoxes are hardly any more troublesome for mathematics than deceptions of the senses are for physics.
	From: Kurt Gödel (What is Cantor's Continuum Problem? [1964], p.271), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 03.4

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')

9117	The smallest heap has four objects: three on the bottom, one on the top [Hart,WD, by Sorensen]
	Full Idea: Hart argues that the smallest heap consists of four objects: three on the bottom, one on the top.
	From: report of William D. Hart (Hat-Tricks and Heaps [1992]) by Roy Sorensen - Vagueness and Contradiction Intro
	A reaction: If the objects were rough bolders, you could get away with two on the bottom. He's wrong. No one would accept as a 'heap' four minute grains barely visible to the naked eye. No one would describe such a group of items in a supermarket as a heap.