Posts Tagged ‘principle of non-contradiction’

December 13th, 2010

Crosswise logic

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My previous post sought to humble the principle of non-contradiction, and thus the logic of consistency it defines, finding it inadequate for thinking the temporal world in which we live and breathe and have our being. Parmenides first articulated this principle, calling “equally deaf and blind” those who would not think consistently according to it, those “hordes without judgment, for whom both to be and not to be are judged the same and not the same, and the path of all is crosswise (palintropos).” Without compromise, he recognized the conflict between his principle and our world of change and diversity. Consistently, he rejected time and the logic needed to understand it. His target here was Heraclitus, who claimed that “a thing agrees in disagreement with itself; it is a crosswise harmony (palintropos harmoniē), like that of the bow and the lyre.” This post aims to explain his earlier, contradictory, but nonetheless more accurate logic.

December 6th, 2010

Truth in conflict

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My previous post argued that anyone who wishes both to think well and to feel well about the world should seek a way of thinking as immanent as it is transcendent, a crosswise way of thinking that is more capacious than the logic of consistency defined by the principle of non-contradiction. Fortunately there has long been such a way, the way of Heraclitus: “A thing agrees in disagreement with itself; it is a crosswise (palintropos) attunement (harmoniē), like that of the bow and the lyre.” In Becoming God I have argued that Heraclitean logic is not only more ancient, but also more accurate than the logic of consistency that Parmenides and the Platonic tradition deployed against it. This tradition has been dominant from the moment of its founding, thanks in part to the rhetorical genius of its founder, making non-contradiction the supreme principle of reason in the eyes of nearly every philosopher since. This post aims first to humble it before the next seeks to revive its Heraclitean rival.