6 ideas
| 8833 | 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? |
| 15927 | Definition just needs negation, known variables, conjunction, disjunction, substitution and quantification [Weyl, by Lavine] |
| Full Idea: For mathematics, Weyl arrived (by 1917) at a satisfactory list of definition principles: negation, identification of variables, conjunction, disjunction, substitution of constants, and existential quantification over the domain. | |
| From: report of Hermann Weyl (works [1917]) by Shaughan Lavine - Understanding the Infinite V.3 | |
| A reaction: Lavine summarises this as 'first-order logic with parameters'. |
| 15034 | Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry] |
| Full Idea: I shall beg off talking of a) whether genera and species are real or situated in bare thoughts alone, b) whether as real they are bodies or incorporeals, and c) whether they are separated or in sensibles and have their reality in connection with them. | |
| From: Porphyry (Isagoge ('Introduction') [c.295], (2)) | |
| A reaction: This passage, picking up on Aristotle, seems to be the original source that grew into the medievel debate about universals. It seems to rather neatly lay out the agenda for the universals debate which is still with us. |
| 8834 | 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. |
| 8838 | 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. |
| 8839 | 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. |