Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Dean W. Zimmerman and Clive Bell

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33 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
12452 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
15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
18119 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
18247 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
12451 Scientific laws largely rest on the results of counting and measuring [Brouwer]
18118 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
12454 Intuitionists only accept denumerable sets [Brouwer]
12453 Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
8728 Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
10197 An immanent universal is wholly present in more than one place [Zimmerman,DW]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
10198 If only two indiscernible electrons exist, future differences must still be possible [Zimmerman,DW]
10199 Discernible differences at different times may just be in counterparts [Zimmerman,DW]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10117 Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
23928 Good art produces exaltation and detachment [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
23922 The word 'beauty' leads to confusion, because it denotes distinct emotions [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
23921 Our feeling for natural beauty is different from the aesthetic emotion of art [Bell,C]
23929 We only see landscapes as artistic if we ignore their instrumental value [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
23923 Visual form can create a sublime mental state [Bell,C]
21. Aesthetics / B. Nature of Art / 1. Defining Art
23932 Art is the expression of an emotion for ultimate reality [Bell,C]
23927 Aestheticism invites artist to create beauty, but with no indication of how to do it [Bell,C]
21. Aesthetics / B. Nature of Art / 2. Art as Form
8115 Only artists can discern significant form; other people must look to art to find it [Bell,C, by Gardner]
23924 Maybe significant form gives us a feeling for ultimate reality [Bell,C]
23931 Significant form is the essence of art, which I believe expresses an emotion about reality [Bell,C]
20434 'Form' is visual relations, and it is 'significant' if it moves us aesthetically; art needs both [Bell,C, by Feagin]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
23934 The only expression art could have is the emotion resulting from pure form [Bell,C]
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
23925 Mere copies of pictures are not significant - unless the copies are very exact [Bell,C]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
23926 Art is distinguished by its aesthetic emotion, which produces appropriate form [Bell,C]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
23933 Aesthetic contemplation is the best and most intense mental state [Bell,C]
23935 Aesthetic experience is an exaltation which increases the possibilities of life [Bell,C]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
22691 Only artistic qualities matter in art, because they also have the highest moral value [Bell,C]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
14610 Neither 'moving spotlight' nor 'growing block' views explain why we care what is present or past [Zimmerman,DW]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
14608 A-theorists, unlike B-theorists, believe some sort of objective distinction between past, present and future [Zimmerman,DW]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
23930 Religion sees infinite value in some things, and irrelevance in the rest [Bell,C]