Logic

Peano's Natural Numbers do not form an infinite set and let me show you why #285 mathematics ends at about 10^500 Re: Powerset
AP wrote: Second Contradiction is that Peano and followers then insist the set formed by all the Natural Numbers is an Infinite Set of numbers. But how can they be an infinite set when Peano and followers claim every Peano Natural Number is a "finite-number." No infinite set is possible in which ev... 9 Jan 2010 02:06

Peano Axioms replaced by the AP-axioms of Natural Numbers #284 mathematics ends at about 10^500 Re: Powerset
First I am going to quote Wikipedia on what the Peano Axioms are, so as to give a basis for the discussion. And the Peano Axioms are so riddled with contradiction and inconsistency that I need to replace them with a new system. The major flaws of the Peano Axioms are the assumption of finite and infinite with ... 9 Jan 2010 01:02

Abduction - Inference to the Best Explanation - -
Inference to the Best Explanation, besides who would be happy with a poor explanation? The “inference to the best explanation” slogan is only going to be helpful if accompanied by some account of how can the best explanation be identified? Of course, in one sense we are all going to agree that we should accept t... 13 Jan 2010 12:05

Showing you how and why the Peano Axioms are flawed, inconsistent and contradictory by a picture detail #283 mathematics ends at about 10^500 Re: Powerset
Archimedes Plutonium wrote: Peano Axioms have been around for about 150 years now. They are at the heart of mathematics. But they are so seriously flawed, both in definition and conception that it is a wonder they lasted for 150 years without changes. This post is going to be a picture summary,... 8 Jan 2010 15:04

definition of ellipsis to define Finite in the old math and why the Peano Axioms are inconsistent Re: #281 mathematics ends at about 10^500 Re: Powerset
One thing about the coldness of winter is that I can get alot of science posts sent off. And yesterday was the first day in my life that I experienced frostbite. It happened real quickly with a blizzard wind. It happened on the cheeks of my face, around the nose and jaw. It feels like a sunburn with reddened skin... 8 Jan 2010 06:06

ZFC Can Prove Everything Provable? But how do you define "provable" here??
On Wed, 6 Jan 2010 10:59:36 -0800 (PST), "porky_pig_jr(a)my-deja.com" <porky_pig_jr(a)my-deja.com> wrote: On Jan 6, 1:03�pm, David C. Ullrich <ullr...(a)math.okstate.edu> wrote: On Tue, 05 Jan 2010 13:44:36 -0500, "Jesse F. Hughes" <je...(a)phiwumbda.org> wrote: Charlie-Boo <shymath...(a)gmail.com> writes: ... 21 Jan 2010 06:43

Mathematics can only cover a validity-range from 10^500 to 10^-500 Re: #272 mathematics ends at about 10^500 Re: Powerset
Robert wrote: what is 10^500 + 1? there be dragons. Pray tell, is it prime? Is this number 10000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 ... 7 Jan 2010 11:18

If Gauss Put His FFT On His Web Page It Wouldn't Have Had To Be Rediscovered In WWII
On Mon, 4 Jan 2010 22:30:32 -0800 (PST), Bret Cahill <BretCahill(a)peoplepc.com> wrote: It's just a matter of time before you'll see more and more headers like the above. Bret Cahill Not if Brat Cahill gets kill filed to deletion. ... 6 Jan 2010 09:19

Who first invented calculus - Newton or Leibniz?
Development of the quarrel The quarrel was a retrospective affair. In 1696, already some years later than the events that became the subject of the quarrel, the position still looked potentially peaceful: Newton and Leibniz had each made limited acknowledgements of the other's work, and L'Hospital's 1696 book ab... 7 Jan 2010 20:20

Model != World?
Excuse me, but I have a basic question. What is the motivation for differentiating the concepts of "World" and "Model"? ... 6 Jan 2010 09:18