In thinking about this argument yes it seems to me that limits using infinity make sense and are probably useful. But seems to me for use value the simpler the better maybe algebra is more useful than calculus?
No. Is it a new idea of infinity or is it the old idea before so-called superior...
No, I'm saying it seems to me philosophically Cantor wrongly redefined the concept of infinity and I believe it differs from what I have had some distant experience in with calculus which seems ok with the examples of limits. And his redefinition seems flatly wrong, denegrates the use value of...
Sounds reasonable to me. Sorry I'm skeptical what did Cantor's concept of infinity saying apparently we can count an uncountable set do for math's practicality? I mean really. I can't talk about his math fine probably never will but just this concept? Wouldn't engineers would say pie in the sky...
I completed calculus maybe you should play the student and think about what a limit is saying as the variable "approaches infinity." APPROACHES get it? "Potential infinity" never "actual infinity" maybe?
Apparently applied mathematics took the fork in the road and avoided Cantor's paradise and...
Oh so now it's the "vast majority" not everyone who studies math and all mathematicians?
Doesn't seem like you're seeing the issue clearly. My understanding is that you seem to think like the math prof in the video about the diagonal proof that "you will eventually get to every number." IMO...
You guys. It was told to me that my understanding on infinity or not believing you can make an infinite set was ridiculous, irrational, illogical and not held by anyone who has studied math beyond the first year. But hey I appreciate you trying I guess and the conversation helped me understand...
I guess I could try though isn't that a job for the "math people?" Or people who can make any sense at all of math publications? I have a hard enough time with pubmed.
Let's see if this professor also gets deleted here as an "illegitimate source:"
"The Hilbert hotel, in my view and in the view of a mainstream of mathematics is not a true paradox in the sense of one that is reveals a deep contradiction in our conceptions. It is merely an appearance of such a...
Well thanks seems like nonsense sorry. "The snake" is an interesting way of ordering rational numbers I guess not that I totally get it seems like you can't order them at all as a total group. But 6:00 he says "I'm going to get to every one of these positive rational numbers eventually." But...
I can't see mine because it has no width. Then I think well it must be there but since it has no width it can't be there either. Maybe if arbitrary or infinitesimal or unknown width ok there it is?
If I'm understanding I would say no you can't. But I'm not a math person anyway agree to disagree...
Well I guess I'm trying to make a philosophical point whether valid or not it seems like it is to me.
The point has already been made but isn't it just nonsense to say "the probability of choosing one item from an infinite set is zero?" I think I understand and agree with the rest.
If you draw...
I guess I'm saying if you understand n as the number of items in a set and you're wondering about a set with an infinite number of items and the probability of choosing one, can't you set up lim n→∞n and look at it to see what n does and set up lim n→∞1/n to see what the probability of choosing...
Yeah nothing to talk about typical. If I'm being such an idiot about math why not enlighten me I spent some time and effort explaining my ideas but you can just make assertions apparently.