C1 Admin
Posts : 1611 Join date : 20091019
 Subject: Initial Research supporting use of Computers & Internet Sat 24 Sep 2011, 3:02 pm  
 Norbert Weiner's PhD thesis (1912) showed that an infinite collection of ordered pairs is definable.  Quote :
 http://en.wikipedia.org/wiki/Norbert_Wiener
The next year he returned to Harvard, while still continuing his philosophical studies. Back at Harvard, Wiener became influenced by Edward Vermilye Huntington, whose mathematical interests ranged from axiomatic foundations to engineering problems. Harvard awarded Wiener a Ph.D. in 1912, when he was merely 17 years old, for a dissertation on mathematical logic, supervised by Karl Schmidt, the essential results of which were published as Wiener (1914). In that dissertation, he was the first to state publicly that ordered pairs can be defined in terms of elementary set theory. Hence relations can be defined by set theory, thus the theory of relations does not require any axioms or primitive notions distinct from those of set theory. In 1921, Kazimierz Kuratowski proposed a simplification of Wiener's definition of ordered pairs, and that simplification has been in common use ever since. This was the basis for moving forward with the development of binary digital systems (zeros & ones), and transistor switches (off & on). For, it meant that a system built upon this concept would be ordered, definable, and therefore predictable and controllable. Hence, we now have a global information system built upon this concept, with the goal for this system to practically replace Nature, which is NOT ordered and therefore NOT predictable and NOT controllable (i.e. Weiner showed that they could build a system that thwarted Godel's findings). _________________ "For every thousand hacking at the leaves of evil, there is one striking at the root."David Thoreau (18171862) anonymously email me by clicking here  

C1 Admin
Posts : 1611 Join date : 20091019
 Subject: Re: Initial Research supporting use of Computers & Internet Sat 24 Sep 2011, 3:10 pm  
 P.S. I really wonder if "Karl Schmidt" (Weiner's professor) is related to Carl Schmidt (Google CEO)? I can't find any evidence of this, but my hunch says that they are related. _________________ "For every thousand hacking at the leaves of evil, there is one striking at the root."David Thoreau (18171862) anonymously email me by clicking here  
