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All the ideas for '', 'On the Introduction of Transfinite Numbers' and 'reports'

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18 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Diogenes said avoidance of philosophy is the lack of a desire to live properly [Diogenes of Sin., by Diog. Laertius]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
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]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
When someone denied motion, Diogenes got up and walked away [Diogenes of Sin., by Diog. Laertius]
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Cynicism was open to anyone, and needed neither education nor sophistication [Diogenes of Sin., by Grayling]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Diogenes said a plucked chicken fits Plato's definition of man [Diogenes of Sin., by Diog. Laertius]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
The Cynics rejected what is conventional as irrational, and aimed to live by nature [Taylor,R on Diogenes of Sin.]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
For peace of mind, you need self-government, indifference and independence [Diogenes of Sin.]
24. Political Theory / B. Nature of a State / 4. Citizenship
Diogenes said he was a citizen of the world [Diogenes of Sin., by Diog. Laertius]
24. Political Theory / D. Ideologies / 2. Anarchism
Diogenes masturbated in public, wishing he could get rid of hunger so easily [Diogenes of Sin., by Plutarch]
25. Social Practice / A. Freedoms / 3. Free speech
Diogenes said that the most excellent thing among men was freedom of speech [Diogenes of Sin., by Diog. Laertius]