Combining Philosophers

All the ideas for Hannah Arendt, Luitzen E.J. Brouwer and H.A. Prichard

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21 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
In philosophy the truth can only be reached via the ruins of the false [Prichard]
4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
For intuitionists excluded middle is an outdated historical convention [Brouwer]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / c. Purpose of ethics
The 'Ethics' is disappointing, because it fails to try to justify our duties [Prichard]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
The mistake is to think we can prove what can only be seen directly in moral thinking [Prichard]
I see the need to pay a debt in a particular instance, and any instance will do [Prichard]
The complexities of life make it almost impossible to assess morality from a universal viewpoint [Prichard]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Virtues won't generate an obligation, so it isn't a basis for morality [Prichard]
23. Ethics / D. Deontological Ethics / 2. Duty
We feel obligations to overcome our own failings, and these are not relations to other people [Prichard]
Seeing the goodness of an effect creates the duty to produce it, not the desire [Prichard]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
If pain were instrinsically wrong, it would be immoral to inflict it on ourselves [Prichard]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
Modern totalitarianism results from lack of social ties or shared goals [Arendt, by Oksala]
The ideal subject for dictators is not a fanatic, but someone who can't distinguish true from false [Arendt, by Oksala]