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Principia mathematica, vol. 2 (of 3)

Note 4 — SECTION A. DEFINITION AND LOGICAL PROPERTIES OF CARDINAL NUMBERS.

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The definitions of the arithmetical operations, and of finite and infinite, are really just as purely logical as what precedes them; but if we are to draw a line between logic and arithmetic somewhere, the arithmetical operations seem the natural point at which to place the beginning of arithmetic.

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