6 ideas
| 18758 | Validity is provable, but invalidity isn't, because the model is infinite [Church, by McGee] |
| Full Idea: Church showed that logic has a proof procedure, but no decision procedure. If an argument is invalid, there is a model with true premises and false conclusion, but the model will typically be infinite, so there is no way to display it concretely. | |
| From: report of Alonzo Church (A Note on the entscheidungsproblem [1936]) by Vann McGee - Logical Consequence 5 |
| 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. |
| 335 | Do the gods also hold different opinions about what is right and honourable? [Plato] |
| Full Idea: Do the gods too hold different opinions about what is right, and similarly about what is honourable and dishonourable, good and bad? | |
| From: Plato (Euthyphro [c.398 BCE], 07e) |
| 336 | Is what is pious loved by the gods because it is pious, or is it pious because they love it? (the 'Euthyphro Question') [Plato] |
| Full Idea: Is what is pious loved by the gods because it is pious, or is it pious because they love it? | |
| From: Plato (Euthyphro [c.398 BCE], 10a) | |
| A reaction: The famous Euthyphro Question, the key question about the supposed religious basis of morality. The answer of Socrates is Idea 337. |
| 337 | It seems that the gods love things because they are pious, rather than making them pious by loving them [Plato] |
| Full Idea: So things are loved by the gods because they are pious, and not pious because they are loved? It seems so. | |
| From: Plato (Euthyphro [c.398 BCE], 10e) | |
| A reaction: Socrates' answer to the Euthyphro Question (see Idea 336). The form of piety precedes the gods. |