Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Apology of Socrates' and 'Spinoza's Ethics'

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9 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought

21855

Only in the 1780s did it become acceptable to read Spinoza [Lord]

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]

15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving

21866

Hobbes and Spinoza use 'conatus' to denote all endeavour for advantage in nature [Lord]

25. Social Practice / E. Policies / 5. Education / b. Education principles

5833	Education is the greatest of human goods [Xenophon]