Combining Texts

All the ideas for 'Identity in Substances and True Propositions', 'The Theory of Logical Types' and 'Thought and Responsibility'

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7 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 / 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]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Substances are in harmony, because they each express the one reality in themselves [Leibniz]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
A man is a responsible agent to the extent he has an intention, and knows what he is doing [Hampshire]