Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Cours d'Analyse' and 'Noneism or Allism?'

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7 ideas

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

15533

We can quantify over fictions by quantifying for real over their names [Lewis]

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

15534

We could quantify over impossible objects - as bundles of properties [Lewis]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18085

Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084

When successive variable values approach a fixed value, that is its 'limit' [Cauchy]

7. Existence / A. Nature of Existence / 1. Nature of Existence

15532

'Allists' embrace the existence of all controversial entities; 'noneists' reject all but the obvious ones [Lewis]

7. Existence / A. Nature of Existence / 2. Types of Existence

15535

We can't accept a use of 'existence' that says only some of the things there are actually exist [Lewis]