Combining Texts

All the ideas for 'Science and Method', 'The Handbook [Encheiridion]' and 'The Theory of Logical Types'

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10 ideas

5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
'Propositional functions' are ambiguous until the variable is given a value [Russell]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We see nature's will in the ways all people are the same [Epictetus]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Epictetus says we should console others for misfortune, but not be moved by pity [Epictetus, by Taylor,C]
If someone is weeping, you should sympathise and help, but not share his suffering [Epictetus]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Perhaps we should persuade culprits that their punishment is just? [Epictetus]