Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Thoralf Skolem and Anon (Par)

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11 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17879 Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
13536 Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17878 If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
17880 Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17881 Mathematician want performable operations, not propositions about objects [Skolem]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
12887 A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
10. Modality / B. Possibility / 1. Possibility
22142 In future, only logical limits can be placed on divine omnipotence [Anon (Par), by Boulter]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
16716 It is heresy to require self-evident foundational principles in order to be certain [Anon (Par)]
25. Social Practice / E. Policies / 5. Education / d. Study of history
1866 It is heresy to teach that history repeats every 36,000 years [Anon (Par)]
28. God / A. Divine Nature / 3. Divine Perfections
1865 It is heresy to teach that natural impossibilities cannot even be achieved by God [Anon (Par)]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
1864 It is heresy to teach that we can know God by his essence in this mortal life [Anon (Par)]