Combining Texts

All the ideas for 'Propositional Objects', 'Theory of Knowledge (2nd ed 1977)' and 'On the Introduction of Transfinite Numbers'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489 Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
18969 How do you distinguish three beliefs from four beliefs or two beliefs? [Quine]
11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
19569 We have a basic epistemic duty to believe truth and avoid error [Chisholm, by Kvanvig]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
18967 A 'proposition' is said to be the timeless cognitive part of the meaning of a sentence [Quine]
19. Language / D. Propositions / 6. Propositions Critique
18968 The problem with propositions is their individuation. When do two sentences express one proposition? [Quine]
27. Natural Reality / C. Space / 3. Points in Space
18970 The concept of a 'point' makes no sense without the idea of absolute position [Quine]