If you can’t do something in any meaningful or consistent way, you can’t do it.
You “can” add 1 to infinity, but it doesn’t give a result that is measurably 1 greater, and therefore has not obeyed the basic axioms of arithmetic.
unless you’re suggesting zero or negative one isn’t a number.
There is no number you can add, subtract, multiply or divide infinity with, that results in zero. Unless, as I keep saying, you’re acting in some meta-contextual space in which infinity is counted as a countable “representation” of infinity, which isn’t the same thing as infinity being a number. I realize this is exactly what you are trying to do, and it’s not as clever as you seem to think it is, so you can stop repeating yourself.
Also, one divided by infinity is zero in an extended number line.
See, again with the added qualifications and sleight-of-hand redefinitions. It isn’t equal to zero, it’s just zero “in an extended number line”. You’re being argumentative and contrarian for its own sake, and I think you’re probably intelligent enough to know full well that that’s what you’re doing, but not quite intelligent enough to realize that you shouldn’t.
Also,
That seems pretty axiomatic, buddy.
you’re just wrong. I feel like you can’t accept that.
it’ll teach you about
Hey, you know what, I’ll make this easier for you.
Can you knock off the obnoxiously condescending phrases every other sentence? They don’t add to your argument, they just make you sound like a prick.
Infinity isn’t a real number, pal. So, I have to qualify it, because you’ll say that it’s impossible to divide by zero, chief. Unless you have an answer that isn’t infinity, friend. I can remove the qualifier if you’d like, and the answer is still technically correct, boss. I am willing to accept I’m wrong if you can answer which number one divided by zero is, I could very well be wrong.
Apologies for my upbeat tone, I’m Canadian, you see, and I believe that we should always use a friendly tone when teaching people new things, ya scamp. I realize this probably comes across to you as arrogant, but I think that might be more related to you thinking I’m wrong when I’m not.
Infinity plus any number besides negative infinity in the extended number line is always infinity. That seems pretty axiomatic, buddy. Infinity times a positive is infinity. Infinity times a negative is negative infinity. Are you suggesting that all numbers follow all rules of each other? That would be silly. There are always exceptions. Zero to the zeroth power, for example. Infinity is related to zero in a lot of ways.
As for your saying that there are no ways to apply infinity to equal zero, that’s also not strictly true. We can absolutely converge certain infinitely scaling functions to 0, even in real numbers or integers. You can even subtract infinities to get 0.
Infinity does not always represent a concept. It only represents a concept in real numbers because it’s not a real number. But neither is the square root of negative one. Unless you would like to show me 2_i_ of something. But 2_i_ is undoubtably a number.
It’s not clever, you’re just wrong. I feel like you can’t accept that.
If you can’t do something in any meaningful or consistent way, you can’t do it.
You “can” add 1 to infinity, but it doesn’t give a result that is measurably 1 greater, and therefore has not obeyed the basic axioms of arithmetic.
There is no number you can add, subtract, multiply or divide infinity with, that results in zero. Unless, as I keep saying, you’re acting in some meta-contextual space in which infinity is counted as a countable “representation” of infinity, which isn’t the same thing as infinity being a number. I realize this is exactly what you are trying to do, and it’s not as clever as you seem to think it is, so you can stop repeating yourself.
Also, one divided by infinity is zero in an extended number line.
See, again with the added qualifications and sleight-of-hand redefinitions. It isn’t equal to zero, it’s just zero “in an extended number line”. You’re being argumentative and contrarian for its own sake, and I think you’re probably intelligent enough to know full well that that’s what you’re doing, but not quite intelligent enough to realize that you shouldn’t.
Also,
Can you knock off the obnoxiously condescending phrases every other sentence? They don’t add to your argument, they just make you sound like a prick.
For reference, saying “in an extended number line” is the equivalent of saying “including infinity”.
Like, if it’s the real number line, extended real number line means real numbers and infinity and negative infinity.
Infinity isn’t a real number, pal. So, I have to qualify it, because you’ll say that it’s impossible to divide by zero, chief. Unless you have an answer that isn’t infinity, friend. I can remove the qualifier if you’d like, and the answer is still technically correct, boss. I am willing to accept I’m wrong if you can answer which number one divided by zero is, I could very well be wrong.
Apologies for my upbeat tone, I’m Canadian, you see, and I believe that we should always use a friendly tone when teaching people new things, ya scamp. I realize this probably comes across to you as arrogant, but I think that might be more related to you thinking I’m wrong when I’m not.
Infinity plus any number besides negative infinity in the extended number line is always infinity. That seems pretty axiomatic, buddy. Infinity times a positive is infinity. Infinity times a negative is negative infinity. Are you suggesting that all numbers follow all rules of each other? That would be silly. There are always exceptions. Zero to the zeroth power, for example. Infinity is related to zero in a lot of ways.
As for your saying that there are no ways to apply infinity to equal zero, that’s also not strictly true. We can absolutely converge certain infinitely scaling functions to 0, even in real numbers or integers. You can even subtract infinities to get 0.
Infinity does not always represent a concept. It only represents a concept in real numbers because it’s not a real number. But neither is the square root of negative one. Unless you would like to show me 2_i_ of something. But 2_i_ is undoubtably a number.
It’s not clever, you’re just wrong. I feel like you can’t accept that.