Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'works' and 'Persons, Character and Morality'

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11 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]

11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs

20945

Belief is no more rational than is tasting and smelling [Hamann]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character

23279

It is important that a person can change their character, and not just be successive 'selves' [Williams,B]

23280

Kantians have an poor account of individuals, and insist on impartiality, because they ignore character [Williams,B]

23. Ethics / E. Utilitarianism / 1. Utilitarianism

23278

For utilitarians states of affairs are what have value, not matter who produced them [Williams,B]

28. God / A. Divine Nature / 2. Divine Nature

7666	God is not a mathematician, but a poet [Hamann, by Berlin]