Re: JSH: Wrappers in ring of algebraic integers

Rotwang wrote:
James Harris wrote:

That ring specifically blocks the distributive property itself in
certain instances.

What does this mean? Either the algebraic integers satisfy the
distributive property or they don't. If they don't, then there exist
algebraic integers x, y and z such that

x*(y + z) =/= x*y + x*z

Since such numbers would also show that the complex numbers do not
satisfy the distributive property, you presumably believe that no such
numbers exist. In that case, the algebraic integers satisfy the
distributive property (since the non-existence of such numbers is
precisely what the distributive property says). Therefore, since you
claim your "proof" relies on the distributive property, and since its
conclusion is false in the algebraic integers, it follows that your
"proof" is wrong. What kind of mental contortions must you go through
to not realise this?


This argument is far too complicated. Could you perhaps reduce it to a quadratic equation?
.

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