9 ideas
9465 | Substitutional universal quantification retains truth for substitution of terms of the same type [Jacquette] |
Full Idea: The substitutional interpretation says the universal quantifier is true just in case it remains true for all substitutions of terms of the same type as that of the universally bound variable. | |
From: Dale Jacquette (Intro to III: Quantifiers [2002], p.143) | |
A reaction: This doesn't seem to tell us how it gets started with being true. |
9466 | Nominalists like substitutional quantification to avoid the metaphysics of objects [Jacquette] |
Full Idea: Some substitutional quantificationists in logic hope to avoid philosophical entanglements about the metaphysics of objects, ..and nominalists can find aid and comfort there. | |
From: Dale Jacquette (Intro to III: Quantifiers [2002], p.143) | |
A reaction: This has an appeal for me, particularly if it avoids abstract objects, but I don't see much problem with material objects, so we might as well have a view that admits those. |
304 | Beautiful things must be different from beauty itself, but beauty itself must be present in each of them [Plato] |
Full Idea: Are fine things different from or identical to fineness? They are different from fineness itself, but fineness itself is in a sense present in each of them. | |
From: Plato (Euthydemus [c.379 BCE], 301a) |
16120 | Knowing how to achieve immortality is pointless without the knowledge how to use immortality [Plato] |
Full Idea: If there exists the knowledge of how to make men immortal, but without the knowledge of how to use this immortality, there seems to be no value in it. | |
From: Plato (Euthydemus [c.379 BCE], 289b) | |
A reaction: I take this to be not a gormless utilitarianism about knowledge, but a plea for holism, that knowledge only has value as part of some larger picture. The big view is the important view. He's wrong, though. Work out the use later. |
303 | Say how many teeth the other has, then count them. If you are right, we will trust your other claims [Plato] |
Full Idea: If each of you says how many teeth the other has, and when they are counted we find you do know, we will believe your other claims as well. | |
From: Plato (Euthydemus [c.379 BCE], 294c) | |
A reaction: This is the clairvoyant problem for reliabilism, if truth is delivered for no apparent reason. Useful, but hardly knowledge. HOW did you know the number of teeth? |
302 | What knowledge is required to live well? [Plato] |
Full Idea: What knowledge would enable us to live finely for the rest of our lives? | |
From: Plato (Euthydemus [c.379 BCE], 293a) | |
A reaction: A successful grasp of other people's points of view might lead to respect for them. Also a realisation that we are not isolated individuals. We really are all in it together. |
301 | Only knowledge of some sort is good [Plato] |
Full Idea: Nothing is good except knowledge of some sort. | |
From: Plato (Euthydemus [c.379 BCE], 292b) | |
A reaction: I've heard it suggested that truth is the only value. This is the Socratic idea that moral goodness is a matter of successful rational judgement. Not convinced, but interesting. |
305 | Something which lies midway between two evils is better than either of them [Plato] |
Full Idea: Something which is composed of two factors which are bad for different purposes and lies midway between them is better than either of the factors. | |
From: Plato (Euthydemus [c.379 BCE], 306a) |
18202 | The concept of a field gradually replaced the substances in explaining relations between charges [Einstein/Infeld] |
Full Idea: In the beginning the field concept was no more than a means of facilitating the understanding of phenomena. ...In the new field language it is the field and not the charges themselves which is essential. The substance was overshadowed by the field. | |
From: Einstein,A/Infeld,L (The Evolution of Physics [1938], p.151), quoted by Penelope Maddy - Naturalism in Mathematics II.4 | |
A reaction: This is very important for philosophical metaphysicians, especially those like me who want to explain the universe by the nature of the stuff that composes it. The 'stuff' had better not be simplistic individual 'substances'. |