Mathematics is just assuming some axioms and rules of inference and then proving theorems that follow from those. There's no restriction except that it should be consistent, i.e. not every statement should be a theorem. So you can regard a game of chess as a mathematical theorem or even a Sherlock Holmes story. You may suppose these things "exist" in some sense, but clearly they don't exist in the same sense as your computer.
Now I got it. Only under the* *assumption that space has a Euclidean metric (*You are assuming the same to oppose*)- which is begging the question. From the operational viewpoint (There are other viewpoints as you know), all measurements yield integers (in some units (If you want to keep the same unit for two measurements as I said you'd encounter the irrational numbers)). Real numbers are introduced in the Platonic realm to insure that some integer equations have solutions(At least sometimes those equations have some real counterparts). Similarly imaginary numbers are introduced to complete the algebra. They are all our inventions - except some people think the integers are not. You're right to some extends, but my point still is a point! Mohsen Ravanbakhsh. --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [email protected] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
