Combining Philosophers

Ideas for Melvin Fitting, Derek Parfit and John von Neumann

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7 ideas

4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic

15375

If terms change their designations in different states, they are functions from states to objects [Fitting]

15376

Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]

4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic

15378

Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]

4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics

15379

Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

3340	Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

15943

Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

3355	Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]