Combining Philosophers

All the ideas for Herodotus, Chilo and Karl Weierstrass

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4 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18086	Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
	Full Idea: Weierstrass effectively eliminated the infinitesimalist language of his predecessors.
	From: report of Karl Weierstrass (works [1855]) by Philip Kitcher - The Nature of Mathematical Knowledge 10.6

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18092	Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
	Full Idea: After Weierstrass had stressed the importance of limits, one now needed to be able to prove the existence of such limits.
	From: report of Karl Weierstrass (works [1855]) by David Bostock - Philosophy of Mathematics 4.4
	A reaction: The solution to this is found in work on series (going back to Cauchy), and on Dedekind's cuts.

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

3015	The virtue of man is thoughtful foresight of future events [Chilo, by Diog. Laertius]
	Full Idea: A foresight of future events, such as could be arrived at by consideration, is the virtue of man.
	From: report of Chilo (poems (frags) [c.490 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 01.4.1

29. Religion / D. Religious Issues / 2. Immortality / a. Immortality

1513	The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus]
	Full Idea: The Egyptians were the first to claim that the soul of a human being is immortal, and that each time the body dies the soul enters another creature just as it is being born.
	From: Herodotus (The Histories [c.435 BCE], 2.123.2)