1 1 2 Proof Principia Mathematica
Principia mathematica is an odd book worth looking into from a historical point of view as well as a mathematical one.
1 1 2 proof principia mathematica. In 1925 27 it appeared in a second edition with an important introduction to the second edition an appendix a that replaced 9 and all new appendix b and appendix c. The last page of russel and whitehead s proof that 1 1 2. 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. We ll just take their word for it.
This certainly isn t the longest proof that 1 1 2. Hardest question need help. The principia mathematica often abbreviated pm is a three volume work on the foundations of mathematics written by the philosophers alfred north whitehead and bertrand russell and published in 1910 1912 and 1913. The main reason that it takes so long to get to 1 1 2 is that principia mathematica starts from almost nothing and works its way up in very tiny incremental steps.
1 1 2 proof principia mathematica by alfred whitehead and russell. Here on page 362 they finally get around to proving that 1 1 2. If they had wanted to prove only that 1 1 2 it would probably have taken only half as much space. In it they laid the foundation of modern mathematics.
The work of g. That honour probably goes to alfred north whitehead and bertrand russell in principia mathematica where they develop mathematics from an abstract version of set theory and get around to proving 1 1 2 on page 362. Of course it proves a lot of other stuff too. Announcements watch back our q a with grad recruiters answering your questions here start new discussion reply.
Principia mathematica alfred north whitehead and bertrand russell wrote principia mathematica and published it in three volumes in the years 1910 1913. It has been first ignited by the france lawyer from toulouse city who lived in the 17th century pierre. Peano shows that it s not hard to produce a useful set of axioms that can prove 1 1 2 much more easily than whitehead and russell do. Whitehead and russell s principia mathematica is famous for taking a thousand pages to prove that 1 1 2.