Combining Texts

All the ideas for 'fragments/reports', 'A New Kind of Science' and 'The Philosophy of Logic'

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8 ideas

2. Reason / C. Styles of Reason / 1. Dialectic

20768

Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

20660

At one level maths and nature are very similar, suggesting some deeper origin [Wolfram]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

18200

Very large sets should be studied in an 'if-then' spirit [Putnam]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

18199

Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]

8857	We must quantify over numbers for science; but that commits us to their existence [Putnam]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean

3049	The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius]

23. Ethics / D. Deontological Ethics / 1. Deontology

3549	Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas]

27. Natural Reality / C. Space / 4. Substantival Space

20659

Space and its contents seem to be one stuff - so space is the only existing thing [Wolfram]