Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'How to Russell a Frege-Church' and 'Continuity and Irrational Numbers'

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9 ideas

5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
11989 For Russell, expressions dependent on contingent circumstances must be eliminated [Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
17611 We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
10572 A cut between rational numbers creates and defines an irrational number [Dedekind]
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 / 4. Using Numbers / f. Arithmetic
17612 Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18087 If x changes by less and less, it must approach a limit [Dedekind]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
11990 'Haecceitism' says that sameness or difference of individuals is independent of appearances [Kaplan]
9668 'Haecceitism' is common thisness under dissimilarity, or distinct thisnesses under resemblance [Kaplan]
11991 If quantification into modal contexts is legitimate, that seems to imply some form of haecceitism [Kaplan]