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No system based on logic can prove its own consistency.
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Yes, this is the question.
Since logic proves its worth in observations, and matter (the object of observation) is infinite and infinitely-divisible, it cannot prove it's consistency.
So logic cannot prove its worth. Is it therefore worthless?
The question now falls onto the neccessity of proofs. They are necessary to obtain a subjective mastery of our observable surroundings.
The objective mastery has never been ceded by the Universe itself. Lack of proofs do not interrupt the operations of the Universe.
I suggest that an infallible mastery of the operations of the Universe lies in the unclouding of the subjective barrier; call it "self," or "ego," or whatever you may.
The Universe does not rely on subjective intellects, but vica versa. Our subjective intellects rely on the constant, ambient, superabundant supply of influx from Universe and its operations.
We should not consider ourselves as distinct from the Universe that we observe, even though our self-awareness demands it.
This fundamental, unchanging relationship of self-to-Universe is a bridging of our opinions, I might suggest.
