Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Summula philosophiae naturalis' and 'works'

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11 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science

6782	Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

17884

Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]

17893

'Reflection principles' say the whole truth about sets can't be captured [Koellner]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

17894

We have no argument to show a statement is absolutely undecidable [Koellner]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

17890

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

17887

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

17891

Arithmetical undecidability is always settled at the next stage up [Koellner]

7. Existence / D. Theories of Reality / 4. Anti-realism

22181

Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]

7. Existence / E. Categories / 5. Category Anti-Realism

16608

Ockham was an anti-realist about the categories [William of Ockham, by Pasnau]

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

16599

Ockham says matter must be extended, so we don't need Quantity [William of Ockham, by Pasnau]

16681

Matter gets its quantity from condensation and rarefaction, which is just local motion [William of Ockham]