Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Thoralf Skolem and Richard L. Kirkham

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13 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
There are at least fourteen candidates for truth-bearers [Kirkham]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
A 'sequence' of objects is an order set of them [Kirkham]
If one sequence satisfies a sentence, they all do [Kirkham]
3. Truth / F. Semantic Truth / 2. Semantic Truth
If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
In quantified language the components of complex sentences may not be sentences [Kirkham]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
An open sentence is satisfied if the object possess that property [Kirkham]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
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
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
Mathematician want performable operations, not propositions about objects [Skolem]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Why can there not be disjunctive, conditional and negative facts? [Kirkham]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]