Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory.
Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math.
From the Trade Paperback edition.
Share your thoughts on the Meta Math! Crafts, Hobbies & Home eBook with others!
|Title of eBook: Meta Math!|
|Release Date: 11-26-2008|
|Allowed Countries (hover)|
|Publisher: Knopf Publishing Group|
This eBook download is available in the following formats:
|Parent title||Meta Math!|
|Devices||Samsung Tablet, Apple Ipad & Iphone, Barnes & Noble Nook, Kobo eReader, Aluratek Libre, Iliad, Nokia, Blackberry, Hanlin|
|Note||ePub, short for electronic publication is one of our favorites and should be yours for a couple of reasons. ePub offers reflowable text giving you flexibility to manipulate how the content is presented. Moreover, lots of cool features are now being developed for the reader like advanced video and audio. ePub is now an industry standard, so all of the "non-propreitary" hardware manufacturers are now supporting it.|
It is high time these dark thoughts were permanently laid to rest. Hilbert’s century-old vision of a static completely mechanical absolutely rigorous formal mathematics was a misguided attempt intended to demonstrate the absolute certainty of mathematical reasoning. It is time for us to recover from this disease!
Gödel’s 1931 work on incompleteness, Turing’s 1936 work on uncomputability, and my own work on the role of information, randomness and complexity have shown increasingly emphatically that the role that Hilbert envisioned for formalism in mathematics is best served by computer programming languages, which are in fact formalisms that can be mechanically interpreted—but they are formalisms for computing and calculating, not for reasoning, not for proving theorems, and most emphatically not for inventing new mathematical concepts nor for making new mathematical discoveries.
In my opinion, the view that math provides absolute certainty and is static and perfect while physics is tentative and constantly evolving is a false dichotomy. Math is actually not that different from physics. Both are attempts of the human mind to organize, to make sense of, human experience; in the cas...