Mike,
That's why these sorts of discussions always collapse into arcane discussion about terms and their meanings.
I never used the term "true assertion". You use that term , but asserting true or false does not make a claim either true or false. An argument of assertion is simply a claim that something is as you say it is - without bothering to offer a proof. It is you who have inserted the word "assertion" into the discussion. You are building a straw man. True or false is resolved.
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You confuse a true assertion with the word proven.
No, I do not confuse "assertion" with proof. I equate proven with true (or false). By proven I mean a priori proof, as there is no way to prove a concept outside the realm of thought and reason. Outside of thought and reason is the physical universe, and that is the domain of fact, not truth.
Concept, thought, proof, logic, truth - these all are ideas only - every one of them exists only in the mind.
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You refuse to see that if something is true assertion or false assertion is in fact a belief.
No, that is exactly what I AM saying - assertions are unproven and therefore can only BE belief.
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I may believe in a fact while others dont.
Facts are conditions of the physical world, a posteriori. Regardless of whether or not the fact is believed, it retains its properties in the physical world.
I have used this before, but it once again applies - even when all of mankind "believed" that the Earth was the center of the universe, that belief did not alter the physical fact that the Earth orbited the sun.
What you seem to want to do is conflate a priori (reason/concepts) with a posteriori (experience/facts). These are indeed seperate worlds and do not share a common boundary. The universe cares not one whit what any one of us thinks, dreams up, or believes. The universe responds only to what is real, facts, those aspects that make up the physical world.
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Example.....our early ancesters thought that they knew the earth was flat but they were wrong. Although their belief about the earth was justified it was not true.
If a belief is to count as knowledge, it must not only be justified, it must also be true
Once again we are bumping straight into definition of terms: please define knowledge. Is it of the mind or is it a physical object? If it exists, what is the Length, Width, Height of knowledge? Where in the universe does the object we call knowledge exsit?
If it does not resolve to an object in the universe, then it must be a concept only. Please define the concept: knowledge.
As to our what our ancestors knew about the earth, technically they produced a hypothesis based on observation that the world was flat. That hypothesis was accepted until eventual discovery falsified the claim.
It was only belief in the sense that during that time period there was no way to establish the physical acts concerning the claim. It is really more accurate to state that a flat earth was thought to be the case. Belief can only be held in the mind about those things which cannot be shown to be either true or false. When it was shown that earth was not flat, that established a fact. That fact did not alter belief - it altered our understanding of the natural world.
Perhaps that is what you mean by the word knowledge - to my thinking shown above, this finding did not change belief and had nothing to do with truth but only falsified a held position about the nature of the shape of the earth.
This may seem like nitpicking, but I thought the idea of reason was to increase precision of thought and eliminate bias as much as possible.