Talk:Unity of opposites

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In formal logic and mathematics[edit]

This phrase:

In formal logic and mathematics, a unity or identity of opposites cannot exist (it would mean for example that 2 = -2)

is rather naive. It's true that 2 and -2 are different integers, but modern mathematics encompasses many other, less intuitive, structures. Algebra over the field with two elements is characterized by the fact that everything is its own opposite. And there's no particular reason to select additive inverses as the one true mathematical opposite relation. There are lots of classes of objects that are their own opposites, in one way or another, listed at Involution (mathematics) and Duality (mathematics).

I'll remove the claim that unity of opposites cannot exist in mathematics. Of course, if there's a reliable source that makes the same claim, then we can restore the claim and attribute it to that source directly. Melchoir (talk) 09:23, 29 December 2013 (UTC)