RE: math tard, Help
June 28, 2015 at 5:59 am
(This post was last modified: June 28, 2015 at 6:12 am by Alex K.)
Ah, yes. Algebraically closed is what we're looking for!
What I found interesting is that as you add dimensions, you keep losing properties. For example, the real numbers are a nice field with an order. Pairs of real numbers can be made into a field ©, but one loses a well defined ordering. With four numbers (quaternions) you lose commutativity, AB=BA. I don't even know what's next. Octonions I suppose.I forgot whether one can build a ring with three real numbers, maybe not.
What I found interesting is that as you add dimensions, you keep losing properties. For example, the real numbers are a nice field with an order. Pairs of real numbers can be made into a field ©, but one loses a well defined ordering. With four numbers (quaternions) you lose commutativity, AB=BA. I don't even know what's next. Octonions I suppose.I forgot whether one can build a ring with three real numbers, maybe not.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition