5 ideas
17813 | Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP] |
Full Idea: The Löwenheim-Skolem theorem tells us that any theory with a true interpretation has a model in the natural numbers. | |
From: Nicholas P. White (What Numbers Are [1974], V) |
17812 | Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP] |
Full Idea: Statements involving finite cardinalities can be made without treating numbers as objects at all, simply by using quantification and identity to define numerically definite quantifiers in the manner of Frege. | |
From: Nicholas P. White (What Numbers Are [1974], IV) | |
A reaction: [He adds Quine 1960:268 as a reference] |
3570 | Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M] |
Full Idea: Nozick suggests that knowledge is just belief which 'tracks the truth' (hence leaving out justification). | |
From: report of Robert Nozick (Philosophical Explanations [1981]) by Michael Williams - Problems of Knowledge Ch. 2 |
2748 | A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J] |
Full Idea: Nozick says Gettier cases aren't knowledge because the proposition would be believed even if false. Proper justification must be more sensitive to the truth ("track the truth"). | |
From: report of Robert Nozick (Philosophical Explanations [1981], 3.1) by Jonathan Dancy - Intro to Contemporary Epistemology 3.1 | |
A reaction: This is a bad idea. I see a genuine tree in my garden and believe it is there, so I know it. That I might have believed it if I was in virtually reality, or observing a mirror, won't alter that. |
9471 | Intensions are creatures of darkness which should be exorcised [Quine] |
Full Idea: Intensions are creatures of darkness and I shall rejoice with the reader when they are exorcised. | |
From: Willard Quine (Quantifiers and Propositional Attitudes [1955], §II) | |
A reaction: Quine seems to be in a diminshing minority with this view. For 'intensions' read 'meanings', presumably. |