Thursday, November 1, 2012

Why 1+1 equals 2

From the Principia Mathematica by Russell and Whitehead (Volume I, 1st edition, page 379)

"From this proposition it will follow, when arithmetical addition has been defined, that 1+1=2." —Volume I, 1st edition, page 379 (page 362 in 2nd edition; page 360 in abridged version). (The proof is actually completed in Volume II, 1st edition, page 86, accompanied by the comment, "The above proposition is occasionally useful.")

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