Zero grew up from the seeds of the undefined, just like negative numbers and people who refuse to accept that the square root only has one value. Undefined is a pathway to many abilities some would consider unnatural.
this post was submitted on 07 May 2024
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Zero is a number. Need I say more?
Bbbutt....... Is it a "Natural" number?
How about minus zero?
How can nothing be a number
Wouldnt it be best to think of it more as the representation of the absence of something?
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(3 replies)
N is the set of "counting numbers".
When you count upwards you start from 1, and go up. However, when you count down you usually end on 0. Surely this means 0 satisfies the definition.
The natural numbers are derived, according to Brouwer, from our intuition of time of time by the way. From this notion, 0 is no strange idea since it marks the moment our intuition first begins ^_^
0 is natural.
Source - programming languages.
I don't personally know many programming languages that provide natural number type in their prelude or standard library.
In fact, I can only think of proof assistants, like Lean, Coq, and Agda. Obviously the designer of these languages know a reasonable amount of mathematics to make the correct choice.
(I wouldn't expect the same from IEEE or W3C, LOL
It's really just a joke about counting from 0 instead of 1.
Oh, array indexing, sure.
countable infinite set are unique up-to bijection, you can count by rational numbers if you want. I don't think counting is a good intuition.
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(3 replies)
So 0 is hard. But you know what? Tell me what none-whole number follows right after or before 0. That's right, we don't even have a thing to call that number.
I think p-adic has that
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