3 ideas
9355 | One sort of circularity presupposes a premise, the other presupposes a rule being used [Braithwaite, by Devitt] |
Full Idea: An argument is 'premise-circular' if it aims to establish a conclusion that is assumed as a premise of that very argument. An argument is 'rule-circular' if it aims to establish a conclusion that asserts the goodness of the rule used in that argument. | |
From: report of R.B. Braithwaite (Scientific Explanation [1953], p.274-8) by Michael Devitt - There is no a Priori §2 | |
A reaction: Rule circularity is the sort of thing Quine is always objecting to, but such circularities may be unavoidable, and even totally benign. All the good things in life form a mutually supporting team. |
21570 | Numbers are just verbal conveniences, which can be analysed away [Russell] |
Full Idea: Numbers are nothing but a verbal convenience, and disappear when the propositions that seem to contain them are fully written out. | |
From: Bertrand Russell (Is Mathematics purely Linguistic? [1952], p.301) | |
A reaction: This is the culmination of the process which began with his 1905 theory of definite descriptions. The intervening step was Wittgenstein's purely formal account of the logical connectives. |
17319 | There are 'conceptual' explanations, with their direction depending on complexity [Schnieder] |
Full Idea: The direction of conceptual explanations seems to be owed to factors of conceptual complexity and primitiveness. | |
From: Benjamin Schnieder (Truth-making without Truth-makers [2006], p.33), quoted by David Liggins - Truth-makers and dependence 10.2 | |
A reaction: Schnieder proposes that there are just 'causal' and 'conceptual' explanations. Liggins objects that there are other types of dependence which offer explanations. |