On the insurmountable problem for understanding

Understanding requires at least two assumptions, and delivers at least one conclusion (ie, the understanding).

The problem with this method is that the assumptions include classification (inherent in words) and thus that the fundamental assumption is whether classes are real (ie, can be found) or just our inventions (ie, mental abstractions). This assumption is thus hidden within the assumptions of the method (ie, within “understanding).

The problem with this hidden assumption is that neither of the two alternative options (ie, that classes are real or that classes are our inventions) leads to a singularity, but that the first leads to paradoxical contradiction and the latter leads to ambiguity. This problem means that “understanding” can’t reach unambiguity, or, in other words, that it can’t reach a single truth.

This fact (ie, that understanding can’t reach a single truth) means that the method will circulate around this empty middle forever. In this circulation, the inconsistent notion of a single truth will form the hub (or the God) for the religion that is called “rational thinking”. This fact is not a problem for mathematics, but it is an insurmountable problem for understanding.


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