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inverse of 0

The multiplicative inverse of 0 is undefined. The additive inverse of 0 is itself. "Undefined" doesn't mean that there's a number called "undefined", it means "not a number". It's like if someone asked you "What's your child's name?", you said "I don't have child", and they said "So the parent of 'I don't have a child' is you?" If something isn't a number, it doesn't have an inverse. What's the inverse of a watermelon?

There are number systems in which 0 does have a multiplicative inverse, but they are inconsistent with basic axioms of integers.
 
Art Vandelay said:
The multiplicative inverse of 0 is undefined. The additive inverse of 0 is itself. "Undefined" doesn't mean that there's a number called "undefined", it means "not a number". It's like if someone asked you "What's your child's name?", you said "I don't have child", and they said "So the parent of 'I don't have a child' is you?" If something isn't a number, it doesn't have an inverse. What's the inverse of a watermelon?

There are number systems in which 0 does have a multiplicative inverse, but they are inconsistent with basic axioms of integers.
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Hey, where were you when we had the Does zero have a value thread going? :)
 
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