Combining Texts

All the ideas for 'fragments/reports', 'Aristotle on Substance' and 'On 'Insolubilia' and their solution'

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7 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets
The 'no classes' theory says the propositions just refer to the members [Russell]
     Full Idea: The contention of the 'no classes' theory is that all significant propositions concerning classes can be regarded as propositions about all or some of their members.
     From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.200)
     A reaction: Apparently this theory has not found favour with later generations of theorists. I see it in terms of Russell trying to get ontology down to the minimum, in the spirit of Goodman and Quine.
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell]
     Full Idea: In Richard's puzzle, we use the notion of 'definition', and this, oddly enough, is not definable, and is indeed not a definite notion at all.
     From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.209)
     A reaction: The background for this claim is his type theory, which renders certain forms of circular reference meaningless.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Vicious Circle: what involves ALL must not be one of those ALL [Russell]
     Full Idea: The 'vicious-circle principle' says 'whatever involves an apparent variable must not be among the possible values of that variable', or (less exactly) 'whatever involves ALL must not be one of ALL which it involves.
     From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.204)
     A reaction: He offers this as a parallel to his 'no classes' principle. That referred to classes, but this refers to propositions, and specifically the Liar Paradox (which he calls the 'Epimenedes').
9. Objects / C. Structure of Objects / 3. Matter of an Object
Aristotelian matter seriously threatens the intrinsic unity and substantiality of its object [Gill,ML]
     Full Idea: On the interpretation of Aristotelian matter that I shall propose, matter seriously threatens the intrinsic unity, and hence the substantiality, of the object to which it contributes.
     From: Mary Louise Gill (Aristotle on Substance [1989], Intro)
     A reaction: Presumably the thought is that if an object is form+matter (hylomorphism), then forms are essentially unified, but matter is essentially unified and sloppy.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter has no place in Aristotle's theories, and passages claiming it are misread [Gill,ML]
     Full Idea: I argue that prime matter has no place in Aristotle's elemental theory. ..References to prime matter are found in Aristotle's work because his theory was thought to need the doctrine. If I am right, these passages will all admit of another interpretation.
     From: Mary Louise Gill (Aristotle on Substance [1989], App)
     A reaction: If correct, this strikes me as important for the history of ideas, because scholastics got themselves in a right tangle over prime matter. See Pasnau on it. It pushed the 17th century into corpuscularianism.
Prime matter is actually nothing and potentially everything (or potentially an element) [Gill,ML]
     Full Idea: Prime matter is supposed to be actually nothing and potentially everything or, at any rate, potentially the simplest bodies - earth, water, air and fire.
     From: Mary Louise Gill (Aristotle on Substance [1989], Ch.1)
     A reaction: The view that the four elements turn out to be prime matter is distinctive of Gill's approach. Prime matter sounds like quark soup in the early universe.