Combining Texts
Ideas for
'works', 'fragments/reports' and 'Introducing the Philosophy of Mathematics'
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8 ideas
2. Reason / A. Nature of Reason / 1. On Reason
1502
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Parmenides was much more cautious about accepting ideas than his predecessors [Simplicius on Parmenides]
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2. Reason / A. Nature of Reason / 2. Logos
1575
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For Aristotle logos is essentially the ability to talk rationally about questions of value [Roochnik on Aristotle]
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2. Reason / A. Nature of Reason / 4. Aims of Reason
1589
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Aristotle is the supreme optimist about the ability of logos to explain nature [Roochnik on Aristotle]
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2. Reason / D. Definition / 4. Real Definition
8200
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Aristotelian definitions aim to give the essential properties of the thing defined [Aristotle, by Quine]
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2. Reason / D. Definition / 5. Genus and Differentia
4385
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Aristotelian definition involves first stating the genus, then the differentia of the thing [Aristotle, by Urmson]
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2. Reason / D. Definition / 8. Impredicative Definition
8721
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An 'impredicative' definition seems circular, because it uses the term being defined [Friend]
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2. Reason / D. Definition / 10. Stipulative Definition
8680
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Classical definitions attempt to refer, but intuitionist/constructivist definitions actually create objects [Friend]
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2. Reason / E. Argument / 5. Reductio ad Absurdum
3678
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Reductio ad absurdum proves an idea by showing that its denial produces contradiction [Friend]
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