9 ideas
18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
Full Idea: The axiom of choice was an assumption that implicitly questioned the necessity of intensions to guarantee the presence of classes. | |
From: J. Alberto Coffa (The Semantic Tradition from Kant to Carnap [1991], 7 'Log') | |
A reaction: The point is that Choice just picks out members for no particular reason. So classes, it seems, don't need a reason to exist. |
14365 | Scientific understanding is always the grasping of a correct explanation [Strevens] |
Full Idea: I defend what I call the 'simple view', that scientific understanding is that state produced, and only produced, by grasping a correct explanation. | |
From: Michael Strevens (No Understanding without Explanation [2011], Intro) | |
A reaction: I like this because it clearly states what I take to be the view of Aristotle, and the key to understanding the whole of that philosopher's system. I take the view to be correct. |
14368 | We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens] |
Full Idea: 'Understanding why' is quite separate from 'understanding that': you might be exquisitely, incandescently aware of the cat's being on the mat without having the slightest clue how it got there. My topic is understanding why. | |
From: Michael Strevens (No Understanding without Explanation [2011], 2) | |
A reaction: Can't we separate 'understand how' from 'understand why'? I may know that someone dropped a cat through my letterbox, but more understanding would still be required. (He later adds understanding 'with' a theory). |
14369 | Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens] |
Full Idea: Objectors to the idea that understanding requires explanation say that understanding is a precondition for explanation, that understanding comes in degrees, that understanding is active, and that it is holistic - all unlike explanations. | |
From: Michael Strevens (No Understanding without Explanation [2011], 4) | |
A reaction: He works through these four objections and replies to them, in defence of the thesis in Idea 14365. I agree with Strevens on this. |
18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
Full Idea: The semantic tradition's problem was the a priori; its enemy, Kantian pure intuition; its purpose, to develop a conception of the a priori in which pure intuition played no role; its strategy, to base that theory on a development of semantics. | |
From: J. Alberto Coffa (The Semantic Tradition from Kant to Carnap [1991], 2 Intro) | |
A reaction: It seems to me that intuition, in the modern sense, has been unnecessarily demonised. I would define it as 'rational insights which cannot be fully articulated'. Sherlock Holmes embodies it. |
18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
Full Idea: The trouble with Platonism had always been its inability to define a priori knowledge in a way that made it possible for human beings to have it. | |
From: J. Alberto Coffa (The Semantic Tradition from Kant to Carnap [1991], 7 'What') | |
A reaction: This is the famous argument of Benacerraf 1973. |
18266 | Mathematics generalises by using variables [Coffa] |
Full Idea: The instrument of generality in mathematics is the variable. | |
From: J. Alberto Coffa (The Semantic Tradition from Kant to Carnap [1991], 4 'The conc') | |
A reaction: I like the idea that there are variables in ordinary speech, pronouns being the most obvious example. 'Cats' is a variable involving quantification over a domain of lovable fluffy mammals. |
18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |
Full Idea: If the theory of relativity might be thought to support an idealist construal of space and time, it is no less absolutistic about space-time than Newton's theory was about space. | |
From: J. Alberto Coffa (The Semantic Tradition from Kant to Carnap [1991]) | |
A reaction: [He cites Minkowski, Weyl and Cartan for this conclusion] Coffa is clearly a bit cross about philosophers who draw naive idealist and relativist conclusions from relativity. |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |
Full Idea: The Egyptians were the first to claim that the soul of a human being is immortal, and that each time the body dies the soul enters another creature just as it is being born. | |
From: Herodotus (The Histories [c.435 BCE], 2.123.2) |