Combining Texts

All the ideas for 'Does Emp.Knowledge have Foundation?', 'Geometrical Method and Metaphysics' and 'On the Introduction of Transfinite Numbers'

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9 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]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
8793 If observation is knowledge, it is not just an experience; it is a justification in the space of reasons [Sellars]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
8792 Observations like 'this is green' presuppose truths about what is a reliable symptom of what [Sellars]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
19398 Minds are best explained by their ends, and bodies by efficient causes [Leibniz]
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
8791 The concept of 'green' involves a battery of other concepts [Sellars]