Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Letters to Russell' and 'Propositional Objects'

expand these ideas     |    start again     |     specify just one area for these texts


13 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
The main problem of philosophy is what can and cannot be thought and expressed [Wittgenstein, by Grayling]
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 / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
Atomic facts correspond to true elementary propositions [Wittgenstein]
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
How do you distinguish three beliefs from four beliefs or two beliefs? [Quine]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
A 'proposition' is said to be the timeless cognitive part of the meaning of a sentence [Quine]
19. Language / D. Propositions / 4. Mental Propositions
A thought is mental constituents that relate to reality as words do [Wittgenstein]
19. Language / D. Propositions / 6. Propositions Critique
The problem with propositions is their individuation. When do two sentences express one proposition? [Quine]
27. Natural Reality / C. Space / 3. Points in Space
The concept of a 'point' makes no sense without the idea of absolute position [Quine]