Gödel Versus Wittgenstein

Nonfiction, Science & Nature, Science
Cover of the book Gödel Versus Wittgenstein by Mike Hockney, Lulu.com
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mike Hockney ISBN: 9781326521295
Publisher: Lulu.com Publication: January 1, 2016
Imprint: Lulu.com Language: English
Author: Mike Hockney
ISBN: 9781326521295
Publisher: Lulu.com
Publication: January 1, 2016
Imprint: Lulu.com
Language: English
Perhaps nothing has been more misinterpreted than Gödel’s incompleteness theorems. Stephen Hawking, adopting the popular misconception, said, “Thus mathematics is either inconsistent, or incomplete. The smart money is on incomplete.” If mathematics is tautology, as Wittgenstein said, mathematics cannot be inconsistent and/or incomplete, and so Gödel’s work cannot be about mathematics. If mathematics is not tautological, mathematics is mired in inconsistency and/or incompleteness, just as Stephen Hawking said, hence is unreliable. If mathematics is non-ontological, it cannot say anything about reality. If mathematics is ontological, it’s the only thing that can say anything true about reality. There can’t be a world where math is a bit true and a bit false. Either the world is wholly mathematical – in which case math and not science is how we must study the world – or the world isn’t mathematical at all, in which case it’s absurd for science to use math.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Perhaps nothing has been more misinterpreted than Gödel’s incompleteness theorems. Stephen Hawking, adopting the popular misconception, said, “Thus mathematics is either inconsistent, or incomplete. The smart money is on incomplete.” If mathematics is tautology, as Wittgenstein said, mathematics cannot be inconsistent and/or incomplete, and so Gödel’s work cannot be about mathematics. If mathematics is not tautological, mathematics is mired in inconsistency and/or incompleteness, just as Stephen Hawking said, hence is unreliable. If mathematics is non-ontological, it cannot say anything about reality. If mathematics is ontological, it’s the only thing that can say anything true about reality. There can’t be a world where math is a bit true and a bit false. Either the world is wholly mathematical – in which case math and not science is how we must study the world – or the world isn’t mathematical at all, in which case it’s absurd for science to use math.

More books from Lulu.com

Cover of the book The Jailhouse Looks Like Africa by Mike Hockney
Cover of the book Game Ender Volume Three by Mike Hockney
Cover of the book Walking Towards Love In the Old West: A Pair of Historical Romances by Mike Hockney
Cover of the book My First Book on Pelicans by Mike Hockney
Cover of the book Knotted Knock Knock Jokes by Mike Hockney
Cover of the book Born Under a Wandering Star by Mike Hockney
Cover of the book The Blood Bucket Journal by Mike Hockney
Cover of the book Return to Caveman's Diet: The Insulin Key to Metabolic Health by Mike Hockney
Cover of the book I Quan-Tum by Mike Hockney
Cover of the book Servant Leadership: The Path to Success by Mike Hockney
Cover of the book Scenic Utah by Mike Hockney
Cover of the book Saved by Mike Hockney
Cover of the book Heavy Traffic On a Dirt Road by Mike Hockney
Cover of the book Surviving Minecraft by Mike Hockney
Cover of the book 28 Day Strong and Lean Bodybuilding by Mike Hockney
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy