Posts by SandJ

1) Message boards : Science : What does this mean? (Message 1780)
Posted 24 Oct 2016 by SandJ
Post:
I've also read the project description and I am no wiser. For once, Wikipedia is no help either, even with the most basic term field :

In mathematics, a field is one of the fundamental algebraic structures used in abstract algebra. It is a nonzero commutative division ring, or equivalently a ring whose nonzero elements form an abelian group under multiplication.

This isn't a problem of number field theory, it is a problem of explanation. For example, the person who wrote this:

Intuitively, a field is a set F that is a commutative group with respect to two compatible operations, addition and multiplication (the latter excluding zero), with "compatible" being formalized by distributivity, and the caveat that the additive and the multiplicative identities are distinct (0 ≠ 1).

was giggling to themselves when they put in the word "intuitively".





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