Combining Texts

All the ideas for 'fragments/reports', 'Ontology and Mathematical Truth' and 'Art and Its Objects'

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26 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
9967 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
9968 A model is 'fundamental' if it contains only concrete entities [Jubien]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
9965 There couldn't just be one number, such as 17 [Jubien]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
9966 The subject-matter of (pure) mathematics is abstract structure [Jubien]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
9963 If we all intuited mathematical objects, platonism would be agreed [Jubien]
9962 How can pure abstract entities give models to serve as interpretations? [Jubien]
9964 Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
20339 Classes rarely share properties with their members - unlike universals and types [Wollheim]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
9969 The empty set is the purest abstract object [Jubien]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
20338 We often treat a type as if it were a sort of token [Wollheim]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
20342 Interpretation is performance for some arts, and critical for all arts [Wollheim]
20343 A love of nature must precede a love of art [Wollheim]
21. Aesthetics / B. Nature of Art / 1. Defining Art
20348 A criterion of identity for works of art would be easier than a definition [Wollheim]
21. Aesthetics / B. Nature of Art / 2. Art as Form
20347 If beauty needs organisation, then totally simple things can't be beautiful [Wollheim]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
20345 Some say art must have verbalisable expression, and others say the opposite! [Wollheim]
20331 It is claimed that the expressive properties of artworks are non-physical [Wollheim]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
20336 Style can't be seen directly within a work, but appreciation needs a grasp of style [Wollheim]
20337 The traditional view is that knowledge of its genre to essential to appreciating literature [Wollheim]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
20333 If artworks are not physical objects, they are either ideal entities, or collections of phenomena [Wollheim]
20334 The ideal theory says art is an intuition, shaped by a particular process, and presented in public [Wollheim]
20335 The ideal theory of art neglects both the audience and the medium employed [Wollheim]
20340 A musical performance has virtually the same features as the piece of music [Wollheim]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
20341 An interpretation adds further properties to the generic piece of music [Wollheim]
21. Aesthetics / C. Artistic Issues / 3. Artistic Representation
20332 A drawing only represents Napoleon if the artist intended it to [Wollheim]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]