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Aninconsistent triad consists of three propositions of which at most two can be true. For example:
If one finds oneself believing all three propositions of an inconsistent triad, then (in order to be rational) one must give up or modify at least one of those beliefs. Maybe Alice doesn't love me, or maybe she wouldn't send flowers to me if she did, or maybe she actually has sent flowers.
Any inconsistent triad {A, B, C} gives rise to a trilemma {{A, B}, {B, C}, {C, A}}.
The dialectical framework for the whole discussion of the problem in the philosophy of perception and the theoretical conception of perceptual experience is set out as an inconsistent triad.[1]
The first proposition is defended by realists, while being rejected by anti-realistsoridealists.
The problem of evil is often given in the form of an inconsistent triad. For example, J. L. Mackie gave the following three propositions:
Mackie argued that these propositions were inconsistent, and thus, that at least one of these propositions must be false. Either:
Many responses have been made to the problem of evil, including the proposition that evil exists as a consequence of a greater good, such as free will; that evil is an illusion; and that evil is necessary for spiritual growth.
