Combining Texts

All the ideas for 'The World', 'On the Introduction of Transfinite Numbers' and 'An American Indian model of the Universe'

expand these ideas     |    start again     |     specify just one area for these texts


11 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
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
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
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Our sensation of light may not be the same as what produces the sensation [Descartes]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
Hopi consistently prefers verbs and events to nouns and things [Whorf]
14. Science / B. Scientific Theories / 4. Paradigm
Scientific thought is essentially a specialised part of Indo-European languages [Whorf]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
The Hot, Cold, Wet and Dry of the philosophers need themselves to be explained [Descartes]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
Descartes said there was conservation of 'quantity of motion' [Descartes, by Papineau]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
The Hopi have no concept of time as something flowing from past to future [Whorf]