Combining Texts

All the ideas for 'fragments/reports', 'Mathematical Thought from Ancient to Modern Times' and 'Letters to Russell'

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7 ideas

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

20768

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

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17606

Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]

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

18253

I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

18166

The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

18269

Logical objects are extensions of concepts, or ranges of values of functions [Frege]

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]