Combining Texts

All the ideas for 'The Sign of Four', 'Improvement of Understanding' and 'The Theory of Logical Types'

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8 ideas

2. Reason / D. Definition / 2. Aims of Definition
16541 All the intrinsic properties of a thing should be deducible from its definition [Spinoza]
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]
14. Science / C. Induction / 1. Induction
22200 If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
13073 To understand the properties we must know the essence, as with a circle [Spinoza]