Date: Mar 3, 2013 5:48 PM
Author: YBM
Subject: Re: Matheology § 222 Back to the root<br> s
Le 03.03.2013 23:10, WM a écrit :

> On 3 Mrz., 22:19, Virgil <vir...@ligriv.com> wrote:

...

>> The integers 0,1 and 2 can form a field if the arithmetic is that of

>> integers modulo 3.

>>

>> Note that whether a set of objects forms a field or not depends only on

>> how the relevant operations of addition and multiplication are defined

>> on the objects of that set, not on what the members of that set are in

>> other contexts.

>

> And the multiplicative inverse is not required?

> Ever heard of a ring without rang and rung?

Your are teaching math, or teaching something you pretend to be math,

and you do not know that Z/3Z aka Z_3 is a field ? As a matter of fact,

for every prime p, and n>1 their is a field with p^n elements.

Oh dear... This is even worse than I thought...

In Z_3, disgusting stupid demented wanna-be mathematician, even a

eight year old child would notice that:

1*1 = 1

2*2 = 1

So every non-null element has a multiplicative inverse.

No question you have issues with infinity when you cannot handle

the three-elements field...

Get lost, crank.