Combining Texts

All the ideas for 'German Philosophy: a very short introduction', 'Wittgenstein' and 'Vagaries of Definition'

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8 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine]
     Full Idea: The arithmetic of ratios and irrational and imaginary numbers can all be reduced by definition to the theory of classes of positive integers, and this can in turn be reduced to pure set theory.
     From: Willard Quine (Vagaries of Definition [1972], p.53)
     A reaction: This summarises Quine's ontology of mathematics, which tries to eliminate virtually everything, but has to affirm the existence of sets. Can you count sets and their members, if the sets are used to define the numbers?
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Transcendental idealism aims to explain objectivity through subjectivity [Bowie]
     Full Idea: The aim of transcendental idealism is to give a basis for objectivity in terms of subjectivity.
     From: Andrew Bowie (German Philosophy: a very short introduction [2010], 1)
     A reaction: Hume used subjectivity to undermine the findings of objectivity. There was then no return to naive objectivity. Kant's aim then was to thwart global scepticism. Post-Kantians feared that he had failed.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie]
     Full Idea: The Idealist saw in Kant that knowledge, which depends on the spontaneity of judgement, and self-determined spontaneous action, can be seen as sharing the same source, which is not accessible to scientific investigation.
     From: Andrew Bowie (German Philosophy: a very short introduction [2010])
     A reaction: This is the 'spontaneity' of judgements and choices which was seen as the main idea in Kant. It inspired romantic individualism. The judgements are the rule-based application of concepts.
German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie]
     Full Idea: A central aim of German Idealism is to overcome Kant's oppositions between appearances and thing in themselves, and between receptivity and spontaneity.
     From: Andrew Bowie (German Philosophy: a very short introduction [2010], 2)
     A reaction: I have the impression that there were two strategies: break down the opposition within the self (Fichte), or break down the opposition in the world (Spinozism).
Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie]
     Full Idea: A crucial idea for German Idealism (from Hamann) is that apparently passive receptivity and active spontaneity are in fact different degrees of the same 'activity, and the gap between subject and world can be closed.
     From: Andrew Bowie (German Philosophy: a very short introduction [2010], 3)
     A reaction: The 'passive' bit seems to be Hume's 'impressions', which are Kant's 'intuitions', which need 'spontaneous' interpretation to become experiences. Critics of Kant said this implied a dualism.
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
The argument from analogy is not a strong inference, since the other being might be an actor or a robot [Grayling]
     Full Idea: The argument from analogy is a weak one, because it does not logically guarantee the inference I draw to the other's inner states, for he might be dissimulating or acting, or may even be a cleverly contrived robot which feels nothing.
     From: A.C. Grayling (Wittgenstein [1988], Ch.3)
     A reaction: This gives the impression that for an argument to be strong it must logically guarantee its inference. It strikes me that analogy is a good reason for believing in other minds, but that is because I am looking for the best explanation, not logical proof.
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Meaning is essence divorced from things and wedded to words [Quine]
     Full Idea: Meaning is essence divorced from the thing and wedded to the word.
     From: Willard Quine (Vagaries of Definition [1972], p.51)
     A reaction: Quine's strategy is that a demolition of essences will be a definition of meaning. Personally I would like to defend essences, though I admit to finding meaning tricky. That is because essences are external, but meanings are in minds.
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
The distinction between meaning and further information is as vague as the essence/accident distinction [Quine]
     Full Idea: The distinction between what belongs to the meaning of a word and what counts as further information is scarcely clearer than the distinction between the essence of a thing and its accidents.
     From: Willard Quine (Vagaries of Definition [1972], p.51)
     A reaction: In lots of cases the distinction between essence and accident strikes me as totally clear. Tricky borderline cases don't destroy a distinction. That bachelors are married is clearly not 'further information'.