First!

Brilliant post as usual.

Praising your own post in the hopes that others will see the praise & emulate it, not realizing that it came from the post's author?

d00d, j00 4r3 4 14m3r!!!!

Anyways, I would like to remind the omniscient & omnipotent, most high reverend muckity muck Frank that there is a situation in which you can evaluate infinity/infinity. Limits! L'Hopital's rule!!

*runs away from computer in horror as Buck the Marine jumps out from the screen looking for fresh blood*

that only works of the functions are differentiable, 0/0 is not differentiable because it is not a function...

Frank poops his own pants!

Infinity x 0 = Infinity.

Einstiens theroy is only partly right as quarks and neutrinos are proven to travel faster than C.
Even though they are sub-atomic, they are still particles and have mass.

Q: If 1/infinity = 0 and x/x = 1, then does infinity/infinity = 0 or 1?

A: I suspect that 1/infinity does not equal 0, but rather "goes to zero", which is how it was described in my math books. In the same way that infinity is not just a very large number but is defined as "larger than any number", an infinitesimal isn't zero but is smaller than any possible fraction. So the first premise is false, the second is true, and infinity/infinity = 1.

Maybe.

More formally, the limit of 1/x as x approaches infinity is equal to zero. That's not technically the same thing as saying 1/infinity equals zero. You just can't evaluate infinity/infinity.

However, since there are different sizes of infinity, I don't know what would happen if you tried to divide a small one by a large one, or vice versa...

I so love math geeks. And the Frank J who posted a comment first is right, brilliant as usual.

Talkin' about infinity always gives me a headache. That's why I live in Tennessee. No one talks about infinity here.

I'm starting to wonder if infinity was invented by Advil.

And I bet Advil is made by the joooooos!

That ruralassed chickenshit university I went to must have been using a rent-a-prof for calculus classes. As best I remember 1/infinity only APPROACHES zero. It never gets there. It has been over 20 year though, and I may have forgotten some details.

As far as I`m concerned there is only 1 infinity.
It is the largest number, but as time passes it gets larger (quantum mechenics/quantum physics) and while there is only 1 infinity in the here and now (present) whose number may be bigger than the infinity of a billion years ago (past) it is still the ONLY infinity and the last digit of either cannot be found.
( I have a theory that just like pi, the last digit is 0)
If this Universe is an Entropic one (expansion/contraction) then infinity should follow the same laws.
Starting at zero point/time/number, expanding to ultimate point/time/number, and reversing to zero again. However at no point in time could infinitys last digit be calculated.

joatmoaf: The last digit of pi is zero? then why write it? It makes as much sense as saying that the last digit of 0.25 is zero, since you can just as easily write 0.250.

Still, that`s my theory.

I never thought I would again hear the word "uber-monkey". I really thought those years were behind me.

Zero (in pi) is the last digit in which the numbers are not repetitive. Pi is not the same as .25, or any number for that matter and 0 holds as much weight as any other number.

I`ve called upon my MathWizards to settle this.
Hopefully they should materialize here shortly.

Just John is right.

1/I approaches 0, but is infitesmally greater than 0, therefore the first premise is incorrect, and I/I = 1.

The only real problem here is Infinity's kids in the back seat asking over and over "Are we there yet?" and "what about now?"

I am also with john.
i had this roomate way back when...
In an attempt to better understand infinity, he painted his entire room black, and would lay in bed staring at the ceiling with the lights off.
i remember fondly the day when we found some glow in the dark/transparent in the light paint and wrote LOSER! all over the ceiling and walls.

and as for contemplating infinity...
(not that i am saying there is none)....
but.....WHAT REASON COULD THERE POSSIBLY BE?

Adam

Dear Frank,

This goes back so far I read it on dead tree, years before the Internet, yet never figured it out.

It goes like this:

At a brain-trust symposium, the professor at the lectern proclaims: "You can never go anywhere, and I can prove it."

He uses the room they're sitting in as an example. "Suppose you wanted to cross to the other side of this room. First you must reach the halfway point. Halfway to that point, you must first reach the quarter-point, halfway to the quarter point the 1/8 point, then 1/16, 1/32 and so on to infinity. Ergo, you can't move at all, QED.

Incensed, another professor jumps from his chair and stomps around the room, to prove you can, indeed move from place to place.

BUT HE FAILED TO FIND THE FLAW IN THE FIRST PROFESSOR'S ARGUMENT.

Your thoughts?

Cordially,

Charles

Charles,
Good question, but please e-mail it properly and I'll add it to a later Frank Answers.

*brain collapses*

Yeah, I'm not old enough to understand those things.

Well, I dunno about God creating a rock too heavy for him to lift up. That's a paradox, since he is omnipotent, and God is not irrational. He could limit his power and do so, but at his full strength, it isn't possible. He's rational.

Well, that's my un-learned opinion.

Hey I use Fundamentals of Physics in my physics class. What page is that on about the Einstein blackmail? I have the sixth edition, which incidentally has on the cover a volcano with lightning coming out of it, which is possibly the coolest thing on earth.

--Frank, why didn't you assign a random place for Todd and Sderrick? Why do they get to break the rules with impunity?? What kind of Frank Answers are you running here??

--(Sorry... guess I'm still bitter about the whole not being chosen for judge thingy... and the salt on the wound- not being mentioned by the stupid limey.)

Einstein stated that the speed of light is constant to anything that observes it.

Being a calculus teacher at the university level, I just have to weigh in on these calculus questions.

First, those who assert that 1/infinity only approaches 0 are correct. However, an infinity/infinity indeterminate form can be made to approach any value you like. 1 is one such value, but so is 2, pi, and -7. If anyone is interested in the details, they can e-mail me privately (math@natividads.org) and I'll provide them. (Most undergraduates have never seen the proof of the infinitude of the rational numbers, so I'd have to lay that out first, and it would be longer than a comment should be.)

Finally, the flaw in the argument of the professor who couldn't get across the room (which, by the way, dates back to the ancient Greeks): he is assuming that each halfway-step takes the same amount of time as all the others, thus making his average speed something approaching 0/1 (remember speed is change in distance divided by change in time). The prof who actually got across the room has an average speed that approaches 0/0 (shrinking distance divided by shrinking time). And 0/0 is one of those indeterminate forms that can be made to approach any value you like (say, 100 mph) depending on how fast the distances and times shrink in relation to each other.

"and so on to infinity" -- shouldn't it be "and so on to zero"?

Wow, when I gave my answer to the inf/inf question, I was expecting to get either scoffing or nothing. Instead I get two agreements, an offer for more info from a calculus professor, and sarahk saying, "I so love math geeks." (In a sultry voice, no doubt.) I knew that calculus would get me love and respect! :D

Ha!

You think someone else is an idiot--

BUT I HAVE YOUR MECHANICAL PENCIL!!!

AND I'M GIVING IT TO A GIBBON!

HE'S GOING TO POKE YOU IN THE EYE WITH IT!

AH ha hah ha haaaaah!

Insult ME, will you? NOW who's the idiot? HEH? Say it or the gibbon pokes!

--The Math Major

Here's a fun question, : If you are in a car going light speed, and you turn on your headlights, what happens?

And, by the way, there is more than one type of infinity.

Frank, if Bigfoot is that much of a problem, you can always run the Remington +P .45ACP load or the IMI "carbine" load
in .45 ACP and get damn near .41 Magnum/10mm ballistics.

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