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So then at infinity, would it not equal 0?
Originally posted by OutKast Searcher
reply to post by circlemaker
That's completely nonsensical. Both sides of what?
You're treating infinity as if it's a finite (but very large) number with polarity. It doesn't work like that. I've already explained how this works but you claim that a finite number can't be divided an infinite number of times and that's where you stopped thinking.
I agree...it is completely nonsensical...all caused by you claiming anything divided by infinity equals zero.
I am not treating infinity as anything...you and the OP are trying to treat it as a number that you can use mathematical operations on.
YOU say that:
1/infinite= 0
Well what is the answer to this:
1/finite = ?
or
1/large = ?
YOU are treating a concept (infinity) as a number...and I'm telling you that you are wrong. I'm showing you are wrong by the paradoxes it creates. And yet you are saying that is is ME that is using infinity as a number and that is non-sensical....we seriously just went in a complete circle.
Originally posted by ClydeFrog42
reply to post by PhysicsAdept
This has got to be one of the dumbest threads i have ever read.
Infinity is not a number. Therefore, subbing it into algebraic equations is completely useless.
Infinity is a concept. You cant divide a number by a concept...
1/infinite = nothing (not zero... nothing)
This is pretty basic 11th grade logic. Im extremely surprised to see 2 threads like this on the front page within 2 days.
only on ats, i suppose
Originally posted by OutKast Searcher
I agree...it is completely nonsensical...all caused by you claiming anything divided by infinity equals zero.
Originally posted by circlemaker
Originally posted by ClydeFrog42
reply to post by PhysicsAdept
This has got to be one of the dumbest threads i have ever read.
Infinity is not a number. Therefore, subbing it into algebraic equations is completely useless.
Infinity is a concept. You cant divide a number by a concept...
1/infinite = nothing (not zero... nothing)
This is pretty basic 11th grade logic. Im extremely surprised to see 2 threads like this on the front page within 2 days.
only on ats, i suppose
Roll your eyes all you want. All you're doing is regurgitating what other people have told you. Just because some teacher says that's the way it is doesn't make them right.
If someone gives you a non-answer, it's because they're not trying hard enough. Take 0/0. People say it's "undefined". Meanwhile I came up with "shadow numbers" to explain it.
I'm surprised at how many people think that the current level of mathematics is sufficient. From where I'm standing there haven't been many innovations in math since Pythagoras. People like you act as if we know everything there is to know about math. We don't. It's infinite, and there's an infinite amount of potential new discoveries still awaiting us.
0 is officially considered a number yet infinity isn't. This is preposterous. Just try counting to 0 from 1 in fractions. 1/1, 1/2, 1/3, 1/4, etc. You won't ever get there. Invert the fraction and you have the whole numbers counting to infinity: 1/1, 2/1, 3/1, 4/1... The fractional part is usually removed when we count due to redundancy, but the truth is that 0 is just as far from 1 as infinity.
Take 0/0. People say it's "undefined". Meanwhile I came up with "shadow numbers" to explain it.
From where I'm standing there haven't been many innovations in math since Pythagoras.
0 is officially considered a number yet infinity isn't. This is preposterous. Just try counting to 0 from 1 in fractions. 1/1, 1/2, 1/3, 1/4, etc. You won't ever get there. Invert the fraction and you have the whole numbers counting to infinity: 1/1, 2/1, 3/1, 4/1... The fractional part is usually removed when we count due to redundancy, but the truth is that 0 is just as far from 1 as infinity.
Originally posted by circlemaker
Originally posted by OutKast Searcher
I agree...it is completely nonsensical...all caused by you claiming anything divided by infinity equals zero.
Nice deflection. You didn't even bother to answer my question.
Originally posted by Sly1one
reply to post by PhysicsAdept
Personally, I don't think you understand the concept of infinity.
Now, the question is: what happens to 1 when it is divided by infinity? Well you can look at it graphically in the example of y=1/x, and take a look at the limit of y when x approaches ∞. Well, you end up realizing that the limit is zero.
how can anything "approach infinity"??? how do you know you are there? You can't...there is no approaching anything in infinity...its like traversing a circle, you will never get to the "end" and it doesn't matter where you start as start/end are man made points of reference to quantify something for measurement. Start/end in the objective sense doesn't exist...unless you the person decide to assign points to something and that is all your imagination at work.
1 is a man made concept/digit...it doesn't truly exist anywhere. Go find me "1" of something...once you think you have I'll show you more, or divide it and call it another digit....
give me 1 apple ill show you an apple tree, give me one rock ill show you a beach, give me 1 sun, ill show you a galaxy, give me 1 galaxy ill show you a galaxy cluster, give me a galaxy cluster and ill show you the universe...
1=∞
in which case your equation would read as such:
∞/∞=∞
reply to post by WhatAreThey
You see, the idea of this process is represented by limits. As this continues on, as we *approach* infinity (as our number gets larger in larger), the answer approaches zero.
Originally posted by ClydeFrog42
reply to post by WhatAreThey
You see, the idea of this process is represented by limits. As this continues on, as we *approach* infinity (as our number gets larger in larger), the answer approaches zero.
You are making the false assumption that infinity is something that can be "approached". As if you keep dividing forever you will hit infinity and zero at the same time....
This is fundamentally flawed logic. You can divide as long as you want, you will never reach zero, nor will you ever (even if you divide the number 1 in half using a supercomputer for the rest of time) reach infinity.
Maybe its convenient to believe that you can "approach" infinity, but infinity is unapproachable. It is a concept used to describe something that has no limits... so it makes no sense to use infinity to describe limits...
Literally senseless. You are treating infinity as if it is a certain value that can be attained. It is not.
Originally posted by OutKast Searcher
I request a thread be made on "shadow numbers".
Maybe I'll present my counter argument of "invisible numbers".
Originally posted by OutKast Searcher
reply to post by circlemaker
You still haven't answered what 1/finite is.
You seem to be dodging that.
Originally posted by circlemaker
Originally posted by OutKast Searcher
reply to post by circlemaker
You still haven't answered what 1/finite is.
You seem to be dodging that.
What the hell are you talking about? What's 1/finite? Did you mean 1/infinity?
Originally posted by PhysicsAdept
reply to post by MeesterB
So then at infinity, would it not equal 0?
I mean, at a very large number it would equal close to zero but we are not talking about a number at all. We are talking about a concept. So then conceptually, would not 1/∞=0?
I don't think this is something that can be over-thought, but I do think that there is some answer out there that will make it more clear...
Originally posted by OutKast Searcher
Originally posted by ClydeFrog42
reply to post by WhatAreThey
You see, the idea of this process is represented by limits. As this continues on, as we *approach* infinity (as our number gets larger in larger), the answer approaches zero.
You are making the false assumption that infinity is something that can be "approached". As if you keep dividing forever you will hit infinity and zero at the same time....
This is fundamentally flawed logic. You can divide as long as you want, you will never reach zero, nor will you ever (even if you divide the number 1 in half using a supercomputer for the rest of time) reach infinity.
Maybe its convenient to believe that you can "approach" infinity, but infinity is unapproachable. It is a concept used to describe something that has no limits... so it makes no sense to use infinity to describe limits...
Literally senseless. You are treating infinity as if it is a certain value that can be attained. It is not.
No, he is absolutely right in his description of the limit function.
And you can "approach" infinity...but you can never reach it.
For 1/x as x approaches infinity, the answer approaches zero. X will never reach infinity, and the answer will never be zero. This is the whole point of the limit function...to find the limit.