Combining Texts

All the ideas for 'works', 'Phil Applications of Cognitive Science' and 'On the Introduction of Transfinite Numbers'

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13 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 / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
4045 Children may have three innate principles which enable them to learn to count [Goldman]
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]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
4044 Rat behaviour reveals a considerable ability to count [Goldman]
7. Existence / E. Categories / 2. Categorisation
4048 Infant brains appear to have inbuilt ontological categories [Goldman]
12. Knowledge Sources / B. Perception / 3. Representation
4043 Elephants can be correctly identified from as few as three primitive shapes [Goldman]
12. Knowledge Sources / B. Perception / 5. Interpretation
4049 The way in which colour experiences are evoked is physically odd and unpredictable [Goldman]
12. Knowledge Sources / D. Empiricism / 2. Associationism
4047 Gestalt psychology proposes inbuilt proximity, similarity, smoothness and closure principles [Goldman]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
16713 Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
6610 I believe because it is absurd [Tertullian]