Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'works' and 'The Nature of Judgement'

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11 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / b. Modern philosophy beginnings
Moore's 'The Nature of Judgement' (1898) marked the rejection (with Russell) of idealism [Moore,GE, by Grayling]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis for Moore and Russell is carving up the world, not investigating language [Moore,GE, by Monk]
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]
19. Language / D. Propositions / 3. Concrete Propositions
Moor bypassed problems of correspondence by saying true propositions ARE facts [Moore,GE, by Potter]
19. Language / D. Propositions / 5. Unity of Propositions
Hegelians say propositions defy analysis, but Moore says they can be broken down [Moore,GE, by Monk]
24. Political Theory / D. Ideologies / 1. Ideology
Ideology is 'socially necessary illusion' or 'socially necessary false-consciousness' [Adorno, by Finlayson]