display all the ideas for this combination of texts
2 ideas
| 18794 | Logic has precise boundaries, and is the formal rules for all thinking [Kant] |
| Full Idea: The boundaries of logic are determined quite precisely by the fact that logic is the science that exhaustively presents and strictly proves nothing but the formal rules of all thinking. | |
| From: Immanuel Kant (Critique of Pure Reason [1781], B Pref ix) | |
| A reaction: Presumably it does not give the rules for ridiculous thinking, so more will be required. The interesting bit is the universality of the claim. |
| 11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
| Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation. | |
| From: Ian Rumfitt ("Yes" and "No" [2000], II) | |
| A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts. |