Combining Texts

All the ideas for 'Symposium', 'Letters to Russell' and 'Intro to III: Quantifiers'

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6 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

9465	Substitutional universal quantification retains truth for substitution of terms of the same type [Jacquette]

9466	Nominalists like substitutional quantification to avoid the metaphysics of objects [Jacquette]

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]

22. Metaethics / B. Value / 2. Values / h. Fine deeds

5845	Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon]