Combining Texts

All the ideas for 'fragments/reports', 'On the analysis of moral judgements' and 'Mathematical logic and theory of types'

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17 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes can be reduced to propositional functions [Russell, by Hanna]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Some people think there are ethical facts, but of a 'queer' sort [Ayer]
A right attitude is just an attitude one is prepared to stand by [Ayer]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Moral theories are all meta-ethical, and are neutral as regards actual conduct [Ayer]
Moral judgements cannot be the logical consequence of a moral philosophy [Ayer]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
I would describe intuitions of good as feelings of approval [Ayer]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Approval of historical or fictional murders gives us leave to imitate them [Ayer]
Moral judgements are not expressions, but are elements in a behaviour pattern [Ayer]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA]