Friday, January 20, 2017

Contradiction and the Absolute

There are two types of beliefs: absolute and empirical.

If two beliefs are true opposites, then if x is true, then -x is false. This form of contradistinction only appears absolutely. Most opposed beliefs are not true opposites, meaning that if p is true, q can either be true or false, and vice versa.

Because it is sometimes difficult to determine if two different beliefs are true opposites, we add a couple of truth values. In total, we have: (1) x, (2) -x, (3) x and not-x, and (4) neither x nor not-x.  Thus we shift from thinking in dilemmas to thinking in tetralemmas.

If (3) or (4) are possibilities, then we are not dealing with absolute beliefs. For instance, if it is possible for theism and atheism both simultaneously to be false, then belief in God is empirical. This is alright for everyone but those obsessed with finding truth at all costs. Most truth is permanently provisional.

Another example of empirical belief is the belief in selfhood. It is possible for the self to both exist and not exist. We break formal laws of logic establishing this, but paraconsistent logic allows us to consider such true contradictions as non-explosive. The Buddhist tetralemma kills metaphysics.

One book that forms the core of Buddhist theory is the Diamond Sutra. The whole book is one extended lesson in thinking beyond dualistic dilemmas. Four-valued logic, the tetralemma, requires a bit of restructuring of the mind to apply consistently.

The advantage is that we also avoid the circular logic behind the law of non-contradiction because we get to selectively choose when it does and doesn't make sense to obey the law of non-contradiction. We can distinguish between absolute beliefs and empirical beliefs by how they measure up to the four values of the tetralemma, rather than the two values that we are trapped with in regards to dilemmas.

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