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Post by Eugene 2.0 on Mar 10, 2023 22:09:58 GMT
Let's say there are plenty of ways how to draw or write math formulas. Actually, there are so many ways as the number of symbolic systems. This is a huge number without any doubts. But what laws or rules makes us to interpret a certain or different systems of math symbols in some proper or correct way? What if today 1 is by definition "3-2", while tomorrow 1 is "the number of the empty sets"? Why not to try to interpret "(p→q)&(q→r)→(p→r)" as "(wolves eat sheep) and (sheep eat grass), therefore (wolves eat grass)" which changes the original meaning. When we go through the math, what makes us sure that yesterday we understood "1+1=2" as "2=2" and tomorrow we will accept it as "an image and it's reflection results in two images"? The most important here is that – even if math is the most strongest tool, but it's interpretations are out of math, therefore – the math isn't the strongest as if it must count on something else beyond itself.
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