Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Ages of the World' and 'Intro to Principles of Morals and Legislation'

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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]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
Is 'productive of happiness' the definition of 'right', or the cause of it? [Ross on Bentham]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
Of Bentham's 'dimensions' of pleasure, only intensity and duration matter [Ross on Bentham]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Pleasure and pain control all human desires and duties [Bentham]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We don't choose our characters, yet we still claim credit for the actions our characters perform [Schelling]
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
Bentham thinks happiness is feeling good, but why use morality to achieve that? [Annas on Bentham]
The value of pleasures and pains is their force [Bentham]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
The community's interest is a sum of individual interests [Bentham]
25. Social Practice / F. Life Issues / 6. Animal Rights
Large mature animals are more rational than babies. But all that really matters is - can they suffer? [Bentham]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Unnatural, when it means anything, means infrequent [Bentham]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
We must judge a thing morally to know if it conforms to God's will [Bentham]