Combining Texts

All the ideas for 'Through the Looking Glass', 'On the Question of Absolute Undecidability' and 'A Dictionary of Philosophy'

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10 ideas

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 / A. Nature of Existence / 3. Being / e. Being and nothing

21982

I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]

12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory

6455	Maybe 'sense-data' just help us to talk about unusual perceptual situations [Lacey]

12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data

6454	Where do sense-data begin or end? Can they change? What sort of thing are they? [Lacey]

6453	Some claim sense-data are public, and are parts of objects [Lacey]