Combining Philosophers

All the ideas for Benjamin Franklin, Averroes (Ibn Rushd) and Karl Weierstrass

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5 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.
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
16587 Prime matter is halfway between non-existence and existence [Averroes]
     Full Idea: Prime matter falls halfway, as it were, between complete non-existence and actual existence.
     From: Averroes (Ibn Rushd) (Commentary on 'Physics' [1190], I.70), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 03.1
23. Ethics / B. Contract Ethics / 8. Contract Strategies
20721 Punctuality and justice in dealings are excellent for raising a man in the world [Franklin]
     Full Idea: After industry and frugality, nothing contributes more to raising a young man in the world than punctuality and justice in all his dealings.
     From: Benjamin Franklin (Advice to a Young Tradesman [1748], p.87-), quoted by Max Weber - The Protestant Ethic and the Spirit of Capitalism 2
     A reaction: A perfect illustration of the self-interest that drives morality in the social contract view.
24. Political Theory / D. Ideologies / 11. Capitalism
20720 Time is money, ..credit is money, ..and money breeds more money [Franklin]
     Full Idea: Remember that time is money, …and that credit is money, …and that money can beget money.
     From: Benjamin Franklin (Advice to a Young Tradesman [1748], p.87-), quoted by Max Weber - The Protestant Ethic and the Spirit of Capitalism 2
     A reaction: [snippets] A wonderful quotation rescued by Max Weber, showing that Franklin understood capitalism with crystal clarity, before it had even barely begun