# circle has one center

## Primary tabs

Type of Math Object:
Theorem
Major Section:
Reference
Parent:
Groups audience:

## Mathematics Subject Classification

### a circle really *does* have one center......given certain co...

I'll leave this guy world editable for a while in case I missed some minor detail.

I hope that this incident sparked by Mathprof's correction brings home the point that mathematicians can take very little (if anything at all) for granted.

### Re: a circle really *does* have one center......given certai...

> mathematicians can take very little (...) for granted

By definition, only axioms definitions, and rules of inference.

> if anything at all

Unless one assumes something, one can conclude nothing.

### Re: a circle really *does* have one center......given certai...

> Unless one assumes something, one can conclude nothing.

Agreed, but my point is/was that one has to be *very clear* what assumptions are being used. You can't play the game unless you know the rules.

### Section on generalization

Along the lines of what we discussed last night, I moved the