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Let S be a set, define S <= T if there is a n injection from S to T.
For finite sets let |S| denote the class of sets {T} where T<=S<=T
For each |S| where S is finite, let G, denote the set of all binary operations from pairs of elemnts of S to S satisfying the axioms we know from Group Theory.
Therefore we have made the "correct" paradigm of the natural numbers.
What do you reckon Organic?
For finite sets let |S| denote the class of sets {T} where T<=S<=T
For each |S| where S is finite, let G, denote the set of all binary operations from pairs of elemnts of S to S satisfying the axioms we know from Group Theory.
Therefore we have made the "correct" paradigm of the natural numbers.
What do you reckon Organic?