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Jan 15, 2013 · The article explains the idiosyncratic and mostly obsolete notation that Principia Mathematica uses, and how the proof works. The theorem here is essentially that if $\alpha$ and $\beta$ are disjoint sets with exactly one element each, then their union has exactly two elements.
Jun 17, 2006 · Extreme math: 1 + 1 = 2. Finally, I have found online, a copy of the magnificent culmination of the 20th century’s most ambitious work of mathematics. The last page of Russel and Whitehead’s proof that 1+1=2. On page 378 (yes, three hundred and seventy eight!) of the Principia Mathematica.. Yes, it’s there.
The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.
The actual proof that 1 + 1 = 2 is somewhere around the 200 page mark in book 2, and essentially just applies that result and their definition of addition. This is there just as an example/sanity check, to show that their system is actually working.
Jun 17, 2006 · The last page of Russel and Whitehead's proof that 1+1=2. On page 378 (yes, three hundred and seventy eight!) of the Principia Mathematica.. Yes, it's there. The whole thing: the entire...
1+1=2. Whitehead and Russell's Principia Mathematica is famous for taking a thousand pages to prove that 1+1=2. Of course, it proves a lot of other stuff, too. If they had wanted to prove only that 1+1=2, it would probably have taken only half as much space.
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Principia Mathematica. A small part of the long proof that 1+1 =2 in the “Principia Mathematica”. Some idea of the scope and comprehensiveness of the “Principia” can be gleaned from the fact that it takes over 360 pages to prove definitively that 1 + 1 = 2.