Combining Philosophers

All the ideas for Eubulides, Luitzen E.J. Brouwer and Mengzi (Mencius)

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23 ideas

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For intuitionists excluded middle is an outdated historical convention [Brouwer]
5. Theory of Logic / L. Paradox / 1. Paradox
If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
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
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
Scientific laws largely rest on the results of counting and measuring [Brouwer]
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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
If the King likes music then there is hope for the state [Mengzi (Mencius)]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Human nature is naturally compassionate and good (as a 'sprout'), but people may not be good [Mengzi (Mencius), by Norden]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Righteousness is extending the unthinkable, to reveal what must be done [Mengzi (Mencius)]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Each correct feeling relies on an underlying virtue [Mengzi (Mencius)]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
Should a coward who ran fifty paces from a battle laugh at another who ran a hundred? [Mengzi (Mencius)]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
A true king shares his pleasure with the people [Mengzi (Mencius)]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Extend the treatment of the old and young in your family to the rest of society [Mengzi (Mencius)]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Only put someone to death if the whole population believes it is deserved [Mengzi (Mencius)]
25. Social Practice / E. Policies / 1. War / e. Peace
Seeking peace through war is like looking for fish up a tree [Mengzi (Mencius)]
25. Social Practice / F. Life Issues / 6. Animal Rights
Avoid the animals you are going to eat, as it is hard once you have got to know them [Mengzi (Mencius)]