Combining Texts

All the ideas for 'fragments/reports', 'Vagaries of Definition' and 'Infinitism solution to regress problem'

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8 ideas

2. Reason / A. Nature of Reason / 6. Coherence
Why should we prefer coherent beliefs? [Klein,P]
     Full Idea: A key question for a coherentist is, why should he or she adopt a coherent set of beliefs rather than an incoherent set?
     From: Peter Klein (Infinitism solution to regress problem [2005], 'Step 1')
     A reaction: The point of the question is that the coherentist may have to revert to other criteria in answering it. One could equally ask, why should I believe in tables just because I vividly experience them? Or, why believe 2+2=4, just because it is obvious?
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?
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Infinitism avoids a regress, circularity or arbitrariness, by saying warrant just increases [Klein,P]
     Full Idea: Infinitism can solve the regress problem, because it endorses a warrant-emergent form of reasoning in which warrant increases as the series of reasons lengthens. The theory can avoid both circularity and arbitrariness.
     From: Peter Klein (Infinitism solution to regress problem [2005], 'Step 2')
     A reaction: It nicely avoids arbitrariness by offering a reason for absolutely every belief. I think the way to go may to combine individual Infinitism with a social account of where to set the bar of acceptable justification.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
If justification is endless, no link in the chain is ultimately justified [Ginet on Klein,P]
     Full Idea: An endless chain of inferential justifications can never ultimately explain why any link in the chain is justified.
     From: comment on Peter Klein (Infinitism solution to regress problem [2005]) by Carl Ginet - Infinitism not solution to regress problem p.148
     A reaction: This strikes me as a mere yearning for foundations. I don't see sense-experience or the natural light of human reason (or the word of God, for that matter) as in any way 'ultimate'. It's all evidence to be evaluated.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Reasons acquire warrant through being part of a lengthening series [Klein,P]
     Full Idea: The infinitist holds that finding a reason, and then another reason for that reason, places it at the beginning of a series where each gains warrant as part of the series. ..Rational credibility increases as the series lengthens.
     From: Peter Klein (Infinitism solution to regress problem [2005], p.137)
     A reaction: A striking problem here for Klein is the status of the first reason, prior to it being supported by a series. Surprisingly, it seems that it would not yet be a justification. Coherence accounts have the same problem, if coherence is the only criterion.
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'.
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?