10 ideas
13190 | I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz] |
Full Idea: Notwithstanding my infinitesimal calculus, I do not admit any real infinite numbers, even though I confess that the multitude of things surpasses any finite number, or rather any number. ..I consider infinitesimal quantities to be useful fictions. | |
From: Gottfried Leibniz (Letters to Samuel Masson [1716], 1716) | |
A reaction: With the phrase 'useful fictions' we seem to have jumped straight into Harty Field. I'm with Leibniz on this one. The history of mathematics is a series of ingenious inventions, whenever they seem to make further exciting proofs possible. |
17488 | Empiricist theories are sets of laws, which give explanations and reductions [Glennan] |
Full Idea: In the empiricist tradition theories were understood to be deductive closures of sets of laws, explanations were understood as arguments from covering laws, and reduction was understood as a deductive relationship between laws of different theories. | |
From: Stuart Glennan (Mechanisms [2008], 'Intro') | |
A reaction: A lovely crisp summary of the whole tradition of philosophy of science from Comte through to Hempel. Mechanism and essentialism are the new players in the game. |
17493 | Modern mechanism need parts with spatial, temporal and function facts, and diagrams [Glennan] |
Full Idea: Modern champions of mechanisms say models should identify both the parts and their spatial, temporal and functional organisation, ...and the practical importance of diagrams in addition to or in place of linguistic representations of mechanisms. | |
From: Stuart Glennan (Mechanisms [2008], 'Discover') | |
A reaction: Apparently chemists obtain much more refined models by using mathematics than they did by diagrams or 3D models (let alone verbal descriptions). For that reason, I'm thinking that 'model' might be a better term than 'mechanism'. |
17487 | Mechanistic philosophy of science is an alternative to the empiricist law-based tradition [Glennan] |
Full Idea: To a significant degree, a mechanistic philosophy of science can be seen as an alternative to an earlier logical empiricist tradition in philosophy of science that gave pride of place to laws of nature. | |
From: Stuart Glennan (Mechanisms [2008], 'Intro') | |
A reaction: Lovely! Someone who actually spells out what's going on here. Most philosophers are far too coy about explaining what their real game is. Mechanism is fine in chemistry and biology. How about in 'mathematical' physics, or sociology? |
17489 | Mechanisms are either systems of parts or sequences of activities [Glennan] |
Full Idea: There are two sorts of mechanisms: systems consist of collections of parts that interact to produce some behaviour, and processes are sequences of activities which produce some outcome. | |
From: Stuart Glennan (Mechanisms [2008], 'Intro') | |
A reaction: [compressed] The second one is important because it is more generic, and under that account all kinds the features of the world that need to be explained can be subsumed. E.g. hyperinflation in an economy is a 'mechanism'. |
17490 | 17th century mechanists explained everything by the kinetic physical fundamentals [Glennan] |
Full Idea: 17th century mechanists said that interactions governed by chemical, electrical or gravitational forces would have to be explicable in terms of the operation of some atomistic (or corpuscular) kinetic mechanism. | |
From: Stuart Glennan (Mechanisms [2008], 'Intro') | |
A reaction: Glennan says science has rejected this, so modern mechanists do not reduce mechanisms to anything in particular. |
17491 | Unlike the lawlike approach, mechanistic explanation can allow for exceptions [Glennan] |
Full Idea: One of the advantages of the move from nomological to mechanistic modes of explanation is that the latter allows for explanations involving exception-ridden generalizations. | |
From: Stuart Glennan (Mechanisms [2008], 'regular') | |
A reaction: The lawlike approach has endless problems with 'ceteris paribus' ('all things being equal') laws, where specifying all the other 'things' seems a bit tricky. |
17494 | Since causal events are related by mechanisms, causation can be analysed in that way [Glennan] |
Full Idea: Causation can be analyzed in terms of mechanisms because (except for fundamental causal interactions) causally related events will be connected by intervening mechanisms. | |
From: Stuart Glennan (Mechanisms [2008], 'causation') | |
A reaction: This won't give us the metaphysics of causation (which concerns the fundamentals), but this strikes me as a very coherent and interesting proposal. He mentions electron interaction as non-mechanistic causation. |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
Full Idea: Philosophers are the forefathers of heretics. | |
From: Tertullian (works [c.200]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2 |
6610 | I believe because it is absurd [Tertullian] |
Full Idea: I believe because it is absurd ('Credo quia absurdum est'). | |
From: Tertullian (works [c.200]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2 | |
A reaction: This seems to be a rather desperate remark, in response to what must have been rather good hostile arguments. No one would abandon the support of reason if it was easy to acquire. You can't deny its engaging romantic defiance, though. |