Combining Texts

All the ideas for 'fragments/reports', 'The Problem of Knowledge' and 'The Theory of Logical Types'

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12 ideas

2. Reason / F. Fallacies / 1. Fallacy
Induction assumes some uniformity in nature, or that in some respects the future is like the past [Ayer]
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]
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
Knowing I exist reveals nothing at all about my nature [Ayer]
To say 'I am not thinking' must be false, but it might have been true, so it isn't self-contradictory [Ayer]
'I know I exist' has no counterevidence, so it may be meaningless [Ayer]
14. Science / A. Basis of Science / 6. Falsification
We only discard a hypothesis after one failure if it appears likely to keep on failing [Ayer]
14. Science / C. Induction / 2. Aims of Induction
Induction passes from particular facts to other particulars, or to general laws, non-deductively [Ayer]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Some reasonings are stronger than we are [Philolaus]