Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, G.F. Stout and Daniel Jacobson

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19 ideas

1. Philosophy / D. Nature of Philosophy / 8. Humour
Jokes can sometimes be funny because they are offensive [Jacobson,D]
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For intuitionists excluded middle is an outdated historical convention [Brouwer]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
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]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Stout first explicitly proposed that properties and relations are particulars [Stout,GF, by Campbell,K]
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 / A. Aesthetic Experience / 2. Aesthetic Attitude
We don't often respond to events in art as if they were real events [Jacobson,D]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Audiences can be too moral [Jacobson,D]
'Autonomism' says the morality is irrelevant to the aesthetics [Jacobson,D]
Moral defects of art can be among its aesthetic virtues [Jacobson,D]
Immoral art encourages immoral emotions [Jacobson,D]
Moderate moralism says moral qualities can sometimes also be aesthetic qualities [Jacobson,D]
We can judge art ethically, or rate its ethical influence, or assess its quality via its ethics [Jacobson,D]