Combining Texts

All the ideas for 'fragments/reports', 'Moral Beliefs' and 'On the Introduction of Transfinite Numbers'

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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
Moral norms are objective, connected to facts about human goods [Foot, by Hacker-Wright]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Morality gives everyone reasons to act, irrespective of their desires [Foot, by Hacker-Wright]
We all have reason to cultivate the virtues, even when we lack the desire [Foot, by Hacker-Wright]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The meaning of 'good' and other evaluations must include the object to which they attach [Foot]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]