Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'The Work of a Free Person' and 'Infinitism solution to regress problem'

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6 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 / 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]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
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.
24. Political Theory / D. Ideologies / 11. Capitalism
Once money is the main aim, society needs everyone to think wealth is possible [Weil]
     Full Idea: Money, once it becomes the goal of desires and efforts, cannot tolerate in its domain internal conditions in which it is impossible to be enriched.
     From: Simone Weil (The Work of a Free Person [1942], p.134)
     A reaction: The possibility for everyone that they might become rich seems basic to capitalism, even though it is utterly impossible. In theory we can all set up small successful businesses, but if they are good they nearly all get squeezed out.