Combining Texts

All the ideas for 'reports', 'In Defence of Three-Dimensionalism' and 'Universal Arithmetick'

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7 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
A number is not a multitude, but a unified ratio between quantities [Newton]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
3-D says things are stretched in space but not in time, and entire at a time but not at a location [Fine,K]
Genuine motion, rather than variation of position, requires the 'entire presence' of the object [Fine,K]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
4-D says things are stretched in space and in time, and not entire at a time or at a location [Fine,K]
You can ask when the wedding was, but not (usually) when the bride was [Fine,K, by Simons]
9. Objects / E. Objects over Time / 5. Temporal Parts
Three-dimensionalist can accept temporal parts, as things enduring only for an instant [Fine,K]
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]