Quote: the square root of 2 is the cut between numbers whose square is less than and greater than 2; Kronecker

Quotation

Suppose, for instance, we place in the first class all numbers whose squares are greater than 2, and in the second all the numbers whose squares are smaller than 2. ... From Kronecker's point of view, the incommensurable number .sqrt.2 is nothing but the symbol of this particular method of division of commensurable numbers; and to each mode of repartition corresponds in this way a number, a commensurable or not, which serves as a symbol.   Google-1   Google-2

Published before 1923

Additional Titles

Quote: every rational and irrational number is symbol for a cut that divides the real numbers into two

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