Combining Philosophers

All the ideas for Anaxarchus, Simon Critchley and John von Neumann

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35 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
Philosophy really got started as the rival mode of discourse to tragedy [Critchley]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy begins in disappointment, notably in religion and politics [Critchley]
1. Philosophy / D. Nature of Philosophy / 8. Humour
Humour can give a phenomenological account of existence, and point to change [Critchley]
Humour is practically enacted philosophy [Critchley]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
If infatuation with science leads to bad scientism, its rejection leads to obscurantism [Critchley]
Scientism is the view that everything can be explained causally through scientific method [Critchley]
Science gives us an excessively theoretical view of life [Critchley]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
To meet the division in our life, try the Subject, Nature, Spirit, Will, Power, Praxis, Unconscious, or Being [Critchley]
The French keep returning, to Hegel or Nietzsche or Marx [Critchley]
German idealism aimed to find a unifying principle for Kant's various dualisms [Critchley]
Since Hegel, continental philosophy has been linked with social and historical enquiry. [Critchley]
Continental philosophy fights the threatened nihilism in the critique of reason [Critchley]
Continental philosophy is based on critique, praxis and emancipation [Critchley]
Continental philosophy has a bad tendency to offer 'one big thing' to explain everything [Critchley]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenology is a technique of redescription which clarifies our social world [Critchley]
Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]
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]
Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
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]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
All the axioms for mathematics presuppose set theory [Neumann]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Interesting art is always organised around ethical demands [Critchley]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Food first, then ethics [Critchley]
23. Ethics / F. Existentialism / 2. Nihilism
Perceiving meaninglessness is an achievement, which can transform daily life [Critchley]
24. Political Theory / D. Ideologies / 2. Anarchism
The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley]
Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley]
24. Political Theory / D. Ideologies / 3. Conservatism
Belief that humans are wicked leads to authoritarian politics [Critchley]