Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Morality of Happiness' and 'The Limits of Reason'

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23 ideas

3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
The vagueness of truthmaker claims makes it easier to run anti-realist arguments [Button]
3. Truth / D. Coherence Truth / 1. Coherence Truth
The coherence theory says truth is coherence of thoughts, and not about objects [Button]
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 / J. Model Theory in Logic / 1. Logical Models
Permutation Theorem: any theory with a decent model has lots of models [Button]
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]
7. Existence / D. Theories of Reality / 2. Realism
Realists believe in independent objects, correspondence, and fallibility of all theories [Button]
7. Existence / D. Theories of Reality / 4. Anti-realism
Indeterminacy arguments say if a theory can be made true, it has multiple versions [Button]
An ideal theory can't be wholly false, because its consistency implies a true model [Button]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Cartesian scepticism doubts what is true; Kantian scepticism doubts that it is sayable [Button]
14. Science / A. Basis of Science / 4. Prediction
Predictions give the 'content' of theories, which can then be 'equivalent' or 'adequate' [Button]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A sentence's truth conditions are all the situations where it would be true [Button]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
'Phronesis' should translate as 'practical intelligence', not as prudence [Annas]
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
Epicureans achieve pleasure through character development [Annas]
23. Ethics / A. Egoism / 3. Cyrenaic School
Cyrenaics pursue pleasure, but don't equate it with happiness [Annas]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Ancient ethics uses attractive notions, not imperatives [Annas]
23. Ethics / D. Deontological Ethics / 1. Deontology
Principles cover life as a whole, where rules just cover actions [Annas]
23. Ethics / D. Deontological Ethics / 2. Duty
Virtue theory tries to explain our duties in terms of our character [Annas]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
If excessively good actions are admirable but not required, then duty isn't basic [Annas]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
We should do good when necessary, not maximise it [Annas]