1 1 2 Proof Reddit
Using algebra and a little deception mr.
1 1 2 proof reddit. Page 360 if you read the abridged version but that s kind of like listening to the abridged audio book of asimov s foundation that s on itunes that has all the shitty electronic music interludes. The peano approach is to define 1 s0 and 2 s1. Said infamously long proof is found in his seminal principia mathematica which despite its acknowledged importance in the study of the foundations of math is so complex and obtuse that it is rarely used today. What are your definitions of 1 and 2.
Then 1 1 1 2 q e d. The proof is 300 pages long and extremely boring and overly complex to put into eli5 it is an empirical truth rather than an obvious assumption. Til that mathematician bertrand russell once wrote a 360 page proof to show that 1 1 2. That is 1 is the number which comes after 0 and 2 is the number which comes after 1.
If we have 1 rabbit and put it with 1 other rabbit after a few months we may end up with 3 or more rabbits. Or if we take 1 drop of water and add it to 1 other drop of water. You can t prove things if you literally don t know what you re talking about. Bertrand russell took hundreds of pages to prove that 1 1 2 aren t mathematicians crazy is something that gets reposted a lot but that s not really an accurate way of describing it imo.
Help reddit app reddit coins reddit premium reddit gifts. Then you have to change the definition of addition to this. John hush proves or does he that 1 2 to a class of amazed calculus students. How long something is depends a lot on what axiom system you are using.
1 1 2 proof. About careers press advertise blog terms content. What russell did prove was that within a particular axiomatic system for mathematics that he invented that one could show that 1 1 2 where 1 2 and are defined in his axiomatic system. View entire discussion 1 comments more posts from the explainlikeimfive community.
This is the proof in principia mathematica that 1 1 2 pm uses a specific axiomatic system that attempts to build up all of mathematics in a rigorous fashion. There is an alternate formulation of the peano postulates which replaces 1 with 0 in p1 p3 p4 and p5. Let a and b be in n. Specifically to prove the necessary math to then prove that 1 1 2 using pure symbolic logic takes 361 pages with the proof of 1 1 2 finally valid on page 362 of principia mathmatica.
Til that the proof of 1 1 2 is 362 pages long. 1 946 votes and 290 comments so far on reddit.