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All the ideas for 'fragments/reports', 'Art' and 'Grundgesetze der Arithmetik 1 (Basic Laws)'

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29 ideas

5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
My Basic Law V is a law of pure logic [Frege]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Good art produces exaltation and detachment [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The word 'beauty' leads to confusion, because it denotes distinct emotions [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
We only see landscapes as artistic if we ignore their instrumental value [Bell,C]
Our feeling for natural beauty is different from the aesthetic emotion of art [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
Visual form can create a sublime mental state [Bell,C]
21. Aesthetics / B. Nature of Art / 1. Defining Art
Aestheticism invites artist to create beauty, but with no indication of how to do it [Bell,C]
Art is the expression of an emotion for ultimate reality [Bell,C]
21. Aesthetics / B. Nature of Art / 2. Art as Form
Only artists can discern significant form; other people must look to art to find it [Bell,C, by Gardner]
Maybe significant form gives us a feeling for ultimate reality [Bell,C]
Significant form is the essence of art, which I believe expresses an emotion about reality [Bell,C]
'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
The only expression art could have is the emotion resulting from pure form [Bell,C]
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
Mere copies of pictures are not significant - unless the copies are very exact [Bell,C]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
Art is distinguished by its aesthetic emotion, which produces appropriate form [Bell,C]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
Aesthetic experience is an exaltation which increases the possibilities of life [Bell,C]
Aesthetic contemplation is the best and most intense mental state [Bell,C]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Only artistic qualities matter in art, because they also have the highest moral value [Bell,C]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion sees infinite value in some things, and irrelevance in the rest [Bell,C]