Combining Texts

All the ideas for 'Philosophical Essay on Probability', 'Centring' and 'Mathematical logic and theory of types'

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19 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]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
Being is revealed at the point between waking and sleep [Anon (Cent)]
13. Knowledge Criteria / C. External Justification / 7. Testimony
The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / a. Other minds
Neglect your self, and feel the consciousness of each other being [Anon (Cent)]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Just as you have the impulse to do something, stop [Anon (Cent)]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Bondage and liberation are relative terms, which only frighten those already terrified of the universe [Anon (Cent)]
29. Religion / C. Spiritual Disciplines / 4. Zen Buddhism
Feel your whole body saturated with cosmic essence [Anon (Cent)]
The serenity in blue sky beyond clouds [Anon (Cent)]
Abandon attachment to body, and feel the joy of being everywhere [Anon (Cent)]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Imagine fire burning up your whole body, but not you [Anon (Cent)]