Why do you believe that? We can potentially fix that if you explain your reasoning, and I can point out the issue with it, since hyperreal numbers are not the only set of numbers that contain infinity, but was an easy example to show it.
That wasn’t an answer. That was a deflection. Why do you think infinity isn’t a number? A lot of people are told this in middle school and high school mathematics, and it is true that infinity is not a real number, but this can lead to the misconception that infinity isn’t a number.
But… Infinity has many practical applications, the least of which are limits, differentiation, and integrals in calculus, as well as its opposite infinitesimals. There are many scientific and engineering principles that rely on these mathematical functions. That’s a silly thing to think :p
Why do you believe that? We can potentially fix that if you explain your reasoning, and I can point out the issue with it, since hyperreal numbers are not the only set of numbers that contain infinity, but was an easy example to show it.
Why do you believe it is the same? As in: isn’t this more of a philosophical question?
You could even go one back and ask if infinite numbers are a useful/practical/sensical concept in themselves.
Infinities are a beast by themselves, and, to go back to the meme: Definitely do not belong in the big number club!!! 😉
That wasn’t an answer. That was a deflection. Why do you think infinity isn’t a number? A lot of people are told this in middle school and high school mathematics, and it is true that infinity is not a real number, but this can lead to the misconception that infinity isn’t a number.
But… Infinity has many practical applications, the least of which are limits, differentiation, and integrals in calculus, as well as its opposite infinitesimals. There are many scientific and engineering principles that rely on these mathematical functions. That’s a silly thing to think :p