Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Philosophy of Mind (Encylopedia III)' and 'Utilitarianism and the Virtues'

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15 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
We should speak the truth, but also preserve and pursue it [Foot]
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]
16. Persons / F. Free Will / 2. Sources of Free Will
Freedom is produced by the activity of the mind, and is not intrinsically given [Hegel]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Geist is distinct from nature, not as a substance, but because of its normativity [Hegel, by Pinkard]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Why might we think that a state of affairs can be morally good or bad? [Foot]
Consequentialists can hurt the innocent in order to prevent further wickedness [Foot]
Good outcomes are not external guides to morality, but a part of virtuous actions [Foot]
The idea of a good state of affairs has no role in the thought of Aristotle, Rawls or Scanlon [Foot]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Morality is seen as tacit legislation by the community [Foot]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
For consequentialism, it is irrational to follow a rule which in this instance ends badly [Foot]