Recent content by ducknumerouno

How exactly is 2 * 2 equal to one a true statement, and learning can erase questions but you are not deeply understanding, instead of saying "light weigh between light that brigtens my eyes" which proves you learned at some point that there was a difference between the two proves that you are...

Maybe instead of simply learning about it, you should try to understand it and ask questions that can challenge you. There is no problem with learning, it just provides little understanding

Knowledge is a paradox. The more you learn, the more you realize how much you don't know.

I understand your point, but just because infinity is useful in math doesn’t mean it’s fully understood or without its philosophical issues. It’s a concept that helps explain things, but the fact that it’s treated as something both undefined and context-dependent makes it weird. Learning about...

But if infinity is always context-dependent and never truly defined, doesn’t that make it more of a philosophical idea than a mathematical thing?

I agree on the fact of the example given, it was very good and helped me understand more. Thank you. but now on the subject of infinity, should we belive it?

hm., so we agree that infinity should not be agreed on yet?

rue, infinity definitely depends on the context, but that just shows how confusing it can be to some people . If it can change meaning based on the situation, maybe it’s more of an issue than we know?

I get that infinity is handled differently in different areas of math, but it still feels like we’re just ignoring how weird it is. Calling infinity a “shorthand” doesn’t really solve the problem—it just makes it easier to deal with, but doesn’t explain it fully.

If infinity isn't a number and behaves differently from regular numbers, how can we really understand and use it in things like limits? Can we even trust that it is useable in math then? Because I heard somewhere that some infinityies are bigger than others ( I don't know where I heard that some...

Well… how do you define convergence — in shape, in perimeter, or in area? and we could make that point that does the limit of a sequence of functions always preserve properties like length?