Combining Texts

All the ideas for 'Questions on Aristotle's Physics', 'What Numbers Are' and 'talk'

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7 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

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

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

9. Objects / C. Structure of Objects / 4. Quantity of an Object

16678

Without magnitude a thing would retain its parts, but they would have no location [Buridan]

9. Objects / E. Objects over Time / 8. Continuity of Rivers

16793

A thing is (less properly) the same over time if each part is succeeded by another [Buridan]

14. Science / A. Basis of Science / 2. Demonstration

16577

Induction is not demonstration, because not all of the instances can be observed [Buridan]

14. Science / C. Induction / 2. Aims of Induction

16576

Science is based on induction, for general truths about fire, rhubarb and magnets [Buridan]

14. Science / C. Induction / 3. Limits of Induction

7295	Maybe induction is only reliable IF reality is stable [Mitchell,A]