Combining Philosophers

All the ideas for Charles Parsons, Richard Wollheim and Christian Wolff

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26 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
Sufficient reason is implied by contradiction, of an insufficient possible which exists [Wolff, by Korsgaard]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Modal logic is not an extensional language [Parsons,C]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Classes rarely share properties with their members - unlike universals and types [Wollheim]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
We often treat a type as if it were a sort of token [Wollheim]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Interpretation is performance for some arts, and critical for all arts [Wollheim]
A love of nature must precede a love of art [Wollheim]
21. Aesthetics / B. Nature of Art / 1. Defining Art
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
If beauty needs organisation, then totally simple things can't be beautiful [Wollheim]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Some say art must have verbalisable expression, and others say the opposite! [Wollheim]
It is claimed that the expressive properties of artworks are non-physical [Wollheim]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
Style can't be seen directly within a work, but appreciation needs a grasp of style [Wollheim]
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
If artworks are not physical objects, they are either ideal entities, or collections of phenomena [Wollheim]
The ideal theory says art is an intuition, shaped by a particular process, and presented in public [Wollheim]
The ideal theory of art neglects both the audience and the medium employed [Wollheim]
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
An interpretation adds further properties to the generic piece of music [Wollheim]
21. Aesthetics / C. Artistic Issues / 3. Artistic Representation
A drawing only represents Napoleon if the artist intended it to [Wollheim]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
Confucius shows that ethics can rest on reason, rather than on revelation [Wolff, by Korsgaard]