Combining Texts

Ideas for 'works (fragments)', 'The Confessions' and 'Plurals and Complexes'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

10680	The theory of the transfinite needs the ordinal numbers [Hossack]
	Full Idea: The theory of the transfinite needs the ordinal numbers.
	From: Keith Hossack (Plurals and Complexes [2000], 8)

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

10684	I take the real numbers to be just lengths [Hossack]
	Full Idea: I take the real numbers to be just lengths.
	From: Keith Hossack (Plurals and Complexes [2000], 9)
	A reaction: I love it. Real numbers are beginning to get on my nerves. They turn up to the party with no invitation and improperly dressed, and then refuse to give their names when challenged.

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

7555	Zeno achieved the statement of the problems of infinitesimals, infinity and continuity [Russell on Zeno of Citium]
	Full Idea: Zeno was concerned with three increasingly abstract problems of motion: the infinitesimal, the infinite, and continuity; to state the problems is perhaps the hardest part of the philosophical task, and this was done by Zeno.
	From: comment on Zeno (Citium) (fragments/reports [c.294 BCE]) by Bertrand Russell - Mathematics and the Metaphysicians p.81
	A reaction: A very nice tribute, and a beautiful clarification of what Zeno was concerned with.