That's not limitless. It's not free. It can't even account for things which are true, and are known to be true, but the truth of which cannot yet be demonstrated. It's limits not only fall within truth itself, but within demonstrable truth”quite limited indeed.
If the truth of a proposition cannot be demonstrated, how can one possibly know that it is true?
You are saying that one can know that something is true without having evidence for its truth. One might suspect or even hope it is true, but without evidence, one cannot know that it is so.
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