Combining Texts

All the ideas for 'Through the Looking Glass', 'Freedom and Reason' and 'The Theory of Logical Types'

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9 ideas

5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
21566 '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
21567 'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
23457 Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
21556 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
21568 A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
21982 I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
22331 Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock]
22484 Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
6449 The categorical imperative leads to utilitarianism [Hare, by Nagel]