8 ideas
5831 | The new view is that "water" is a name, and has no definition [Schwartz,SP] |
Full Idea: Perhaps the modern view is best expressed as saying that "water" has no definition at all, at least in the traditional sense, and is a proper name of a specific substance. | |
From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III) | |
A reaction: This assumes that proper names have no definitions, though I am not clear how we can grasp the name 'Aristotle' without some association of properties (human, for example) to go with it. We need a definition of 'definition'. |
5829 | We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP] |
Full Idea: We can refer to Thales by using the name "Thales" even though perhaps the only description we can supply is false of him. | |
From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III) | |
A reaction: It is not clear what we would be referring to if all of our descriptions (even 'Greek philosopher') were false. If an archaeologist finds just a scrap of stone with a name written on it, that is hardly a sufficient basis for successful reference. |
5830 | The traditional theory of names says some of the descriptions must be correct [Schwartz,SP] |
Full Idea: The traditional theory of proper names entails that at least some combination of the things ordinarily believed of Aristotle are necessarily true of him. | |
From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §III) | |
A reaction: Searle endorses this traditional theory. Kripke and co. tried to dismiss it, but you can't. If all descriptions of Aristotle turned out to be false (it was actually the name of a Persian statue), our modern references would have been unsuccessful. |
9224 | Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K] |
Full Idea: My Proceduralism offers axiom-free foundations for mathematics. Axioms give way to the stipulation of procedures. We obtain a form of logicism, but with a procedural twist, and with a logic which is ontologically neutral, and no assumption of objects. | |
From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1) | |
A reaction: [See Ideas 9222 and 9223 for his Proceduralism] Sounds like philosophical heaven. We get to take charge of mathematics, without the embarrassment of declaring ourselves to be platonists. Someone, not me, should evaluate this. |
9222 | The objects and truths of mathematics are imperative procedures for their construction [Fine,K] |
Full Idea: I call my new approach to mathematics 'proceduralism'. It agrees with Hilbert and Poincaré that the objects and truths are postulations, but takes them to be imperatival rather than indicative in form; not propositions, but procedures for construction. | |
From: Kit Fine (Our Knowledge of Mathematical Objects [2005], Intro) | |
A reaction: I'm not sure how an object or a truth can be a procedure, any more than a house can be a procedure. If a procedure doesn't have a product then it is an idle way to pass the time. The view seems to be related to fictionalism. |
9223 | My Proceduralism has one simple rule, and four complex rules [Fine,K] |
Full Idea: My Proceduralism has one simple rule (introduce an object), and four complex rules: Composition (combining two procedures), Conditionality (if A, do B), Universality (do a procedure for every x), and Iteration (rule to keep doing B). | |
From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1) | |
A reaction: It sounds like a highly artificial and private game which Fine has invented, but he claims that this is the sort of thing that practising mathematicians have always done. |
5826 | The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP] |
Full Idea: The conjunction of properties associated with a term such as "lemon" is often called the intension of the term "lemon". | |
From: Stephen P. Schwartz (Intro to Naming,Necessity and Natural Kinds [1977], §II) | |
A reaction: The extension of "lemon" is the set of all lemons. At last, a clear explanation of the word 'intension'! The debate becomes clear - over whether the terms of a language are used in reference to ideas of properties (and substances?), or to external items. |
20041 | Intentional actions are those which are explained by giving the reason for so acting [Anscombe] |
Full Idea: Intentional actions are those to which a certain sense of the question 'Why?' is given application; the sense is of course that in which the answer, if positive, gives a reason for acting. | |
From: G.E.M. Anscombe (Intention [1957], p.9), quoted by Rowland Stout - Action 2 'Two kinds' | |
A reaction: This works better for grand large-scale actions than for small ones, like taking the knife out of the drawer before the fork. Kahnemann nowadays tells us that the reasons we articulate might not be the ones that are operative. |