Combining Philosophers

All the ideas for Richard Price, Peter Koellner and J.L. Austin

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11 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Ordinary language is the beginning of philosophy, but there is much more to it [Austin,JL]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
True sentences says the appropriate descriptive thing on the appropriate demonstrative occasion [Austin,JL]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Correspondence theorists shouldn't think that a country has just one accurate map [Austin,JL]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / D. Theories of Reality / 10. Vagueness / a. Problem of vagueness
Austin revealed many meanings for 'vague': rough, ambiguous, general, incomplete... [Austin,JL, by Williamson]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
The forefather of modern intuitionism is Richard Price [Price,R, by Dancy,J]