Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'fragments/reports' and 'Noneism or Allism?'

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11 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

23367

Even pointing a finger should only be done for a reason [Epictetus]

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 / G. Quantification / 4. Substitutional Quantification

15533

We can quantify over fictions by quantifying for real over their names [Lewis]

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

15534

We could quantify over impossible objects - as bundles of properties [Lewis]

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 / A. Nature of Existence / 1. Nature of Existence

15532

'Allists' embrace the existence of all controversial entities; 'noneists' reject all but the obvious ones [Lewis]

7. Existence / A. Nature of Existence / 2. Types of Existence

15535

We can't accept a use of 'existence' that says only some of the things there are actually exist [Lewis]