Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Inquiry Concerning Virtue or Merit' and 'talk'

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16 ideas

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]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
A prior understanding of beauty is needed to assert that the Form of the Beautiful is beautiful [Westaway]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
At what point does an object become 'whole'? [Westaway]
17. Mind and Body / C. Functionalism / 7. Chinese Room
The Chinese Room should be able to ask itself questions in Mandarin [Westaway]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Fear of God is not conscience, which is a natural feeling of offence at bad behaviour [Shaftesbury]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
If an irrational creature with kind feelings was suddenly given reason, its reason would approve of kind feelings [Shaftesbury]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
A person isn't good if only tying their hands prevents their mischief, so the affections decide a person's morality [Shaftesbury]
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
People more obviously enjoy social pleasures than they do eating and drinking [Shaftesbury]
23. Ethics / A. Egoism / 1. Ethical Egoism
Self-interest is not intrinsically good, but its absence is evil, as public good needs it [Shaftesbury]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
Every creature has a right and a wrong state which guide its actions, so there must be a natural end [Shaftesbury]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
For Shaftesbury, we must already have a conscience to be motivated to religious obedience [Shaftesbury, by Scruton]