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4 ideas
15544 | If what is actual might have been impossible, we need S4 modal logic [Armstrong, by Lewis] |
Full Idea: Armstrong says what is actual (namely a certain roster of universals) might have been impossible. Hence his modal logic is S4, without the 'Brouwersche Axiom'. | |
From: report of David M. Armstrong (A Theory of Universals [1978]) by David Lewis - Armstrong on combinatorial possibility 'The demand' | |
A reaction: So p would imply possibly-not-possibly-p. |
19663 | We can allow contradictions in thought, but not inconsistency [Meillassoux] |
Full Idea: For contemporary logicians, it is not non-contradiction that provides the criterion for what is thinkable, but rather inconsistency. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3) | |
A reaction: The point is that para-consistent logic might permit isolated contradictions (as true) within a system, but it is only contradiction across the system (inconsistencies) which make the system untenable. |
19664 | Paraconsistent logics are to prevent computers crashing when data conflicts [Meillassoux] |
Full Idea: Paraconsistent logics were only developed in order to prevent computers, such as expert medical systems, from deducing anything whatsoever from contradictory data, because of the principle of 'ex falso quodlibet'. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3) |
19665 | Paraconsistent logic is about statements, not about contradictions in reality [Meillassoux] |
Full Idea: Paraconsistent logics are only ever dealing with contradictions inherent in statements about the world, never with the real contradictions in the world. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3) | |
A reaction: Thank goodness for that! I can accept that someone in a doorway is both in the room and not in the room, but not that they are existing in a real state of contradiction. I fear that a few daft people embrace the logic as confirming contradictory reality. |