Combining Texts

All the ideas for 'Introductions to Utilitarianism and its Critics', 'The Runabout Inference Ticket' and 'The Theory of Transfinite Numbers'

expand these ideas     |    start again     |     specify just one area for these texts


12 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
We need to know the meaning of 'and', prior to its role in reasoning [Prior,AN, by Belnap]
Prior's 'tonk' is inconsistent, since it allows the non-conservative inference A |- B [Belnap on Prior,AN]
Prior rejected accounts of logical connectives by inference pattern, with 'tonk' his absurd example [Prior,AN, by Read]
Maybe introducing or defining logical connectives by rules of inference leads to absurdity [Prior,AN, by Hacking]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
You can't separate acts from the people performing them [Glover]
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
Aggression in defence may be beneficial but morally corrupting [Glover]
23. Ethics / D. Deontological Ethics / 1. Deontology
Duty prohibits some acts, whatever their consequences [Glover]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Satisfaction of desires is not at all the same as achieving happiness [Glover, by PG]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
Rule-utilitarianism is either act-utilitarianism, or not really utilitarian [Glover]
24. Political Theory / A. Basis of a State / 2. Population / a. Human population
How can utilitarianism decide the ideal population size? [Glover]