Combining Texts

All the ideas for 'works', 'Counting and the Natural Numbers' and 'Putnam's Paradox'

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9 ideas

5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms

14212

A consistent theory just needs one model; isomorphic versions will do too, and large domains provide those [Lewis]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

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

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

7. Existence / D. Theories of Reality / 4. Anti-realism

14213

Anti-realists see the world as imaginary, or lacking joints, or beyond reference, or beyond truth [Lewis]

9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts

14210

A gerrymandered mereological sum can be a mess, but still have natural joints [Lewis]

19. Language / B. Reference / 3. Direct Reference / b. Causal reference

14215

Causal theories of reference make errors in reference easy [Lewis]

19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description

14209

Descriptive theories remain part of the theory of reference (with seven mild modifications) [Lewis]

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

20239

Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]