Combining Texts

All the ideas for 'fragments/reports', 'Gravity and Grace (9 extracts)' and 'Mathematical logic and theory of types'

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22 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
We seek truth only because it is good [Weil]
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 / 2. Source of Ethics / a. Idealistic ethics
Beauty, goodness and truth are only achieved by applying full attention [Weil]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
The good is a nothingness, and yet real [Weil]
There are two goods - the absolute good we want, and the reachable opposite of evil [Weil]
24. Political Theory / C. Ruling a State / 1. Social Power
The essence of power is illusory prestige [Weil]
24. Political Theory / D. Ideologies / 1. Ideology
A group is only dangerous if it endorses an abstract entity [Weil]
24. Political Theory / D. Ideologies / 2. Anarchism
Our only social duty is to try to limit evil [Weil]
24. Political Theory / D. Ideologies / 9. Communism
The collective is the one and only object of false idolatry [Weil]
24. Political Theory / D. Ideologies / 14. Nationalism
Charity is the only love, and you can feel that for a country (a place with traditions), but not a nation [Weil]
25. Social Practice / A. Freedoms / 1. Slavery
If effort is from necessity rather than for a good, it is slavery [Weil]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The soul is the intrinsic value of a human [Weil]