display all the ideas for this combination of texts
4 ideas
15329 | Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten] |
Full Idea: Some nonclassical logic stays close to classical, assuming two mutually exclusive truth values T and F, but some sentences fail to have one. Others have further truth values such as 'half truth', or dialethists allow some T and F at the same time. | |
From: Leon Horsten (The Tarskian Turn [2011], 01.2) | |
A reaction: I take that to say that the first lot accept bivalence but reject excluded middle (allowing 'truth value gaps'), while the second lot reject both. Bivalence gives the values available, and excluded middle says what has them. |
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. |