Combining Texts

All the ideas for 'Noneism or Allism?', 'On the Elements of Being: I' and 'Continuity and Irrational Numbers'

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11 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 / 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 / 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]

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]

8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes

8508	A 'trope' is an abstract particular, the occurrence of an essence [Williams,DC]

8509	A world is completely constituted by its tropes and their connections [Williams,DC]

8510	'Socrates is wise' means a concurrence sum contains a member of a similarity set [Williams,DC]