Gabriel, as much you think I'm some moron, let me tell you that it takes no great effort on my part refuting what you say. For example, to refute all of your ideas about calculus, I just ask you to do some calculus, like show that the derivative of sine is cosine, and watch you go into a tailspin trying to do it.

That trig derivative is one problem but the most amusing part of your ideas is that since you cannot prove the intermediate value theorem (because you do not accept real numbers) you cannot show that the graph of actually passes through the x-axis.

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