Eliezer is right; numbers are first an abstraction of the world around us. There are a vast number of possible abstractions; the reason we have been so very interested in numbers, compared to all the other possible abstractions, is that numbers happen to describe the world around us. It need not have been so.
Yes it does need be so. Precisely because numbers are an abstraction of the world around us, an abstraction which we as wonderful human beings have advanced into a more and more sophisticated abstraction for many years, they reflect (if that is the right word) the world around us.
It is not “the unprecedented success of math,” but of man.
Eliezer is right; numbers are first an abstraction of the world around us. There are a vast number of possible abstractions; the reason we have been so very interested in numbers, compared to all the other possible abstractions, is that numbers happen to describe the world around us. It need not have been so.
What’s an example of another possible abstraction?
Other possible abstractions:
groups
rings
modular arithmetic
sets
simple computer programs (like these cellular automata)
These abstractions describe aspects of the world around us too, just not counting macroscopic objects like apples and earplugs.
Yes it does need be so. Precisely because numbers are an abstraction of the world around us, an abstraction which we as wonderful human beings have advanced into a more and more sophisticated abstraction for many years, they reflect (if that is the right word) the world around us.
It is not “the unprecedented success of math,” but of man.