Contradiction means literally ‘saying “No”’, but more generally refers to propositions which assert apparently incompatible or opposite things — “there is 1 and there is not 1”. (See Antimony).
Contradiction is the centre of Hegel's critique of Formal Logic and the most popular concept for introducing dialectics, which is concerned with the internal contradictions within ideas as the “driving force” leading to change and development.
Formal Logic holds that the Law of (Non-)Contradiction — “if a given proposition is true then its denial cannot be true” — is an absolute truth, mandatory for all logical thinking and theory.
Hegel criticises this law, and points out that the ancient Greeks (Zeno) had already proved that, for instance, the simple concept of motion requires that an object is both 'here and not-here' at one and the same time, something modern mathematics and physics would now agree with!
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