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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Why The Cantor Diagonal Argument is Not Valid: and there is no such thing as an infinite set

Why The Cantor Diagonal Argument is Not Valid: and there is no such thing as an infinite set

Johri, Alisha a.
Johri, Pravin K.

Paperback

General Mathematics

Currently unavailable to order

ISBN10: 1720899770
ISBN13: 9781720899778
Publisher: Createspace
Published: Jun 10 2018
Pages: 94
Weight: 0.53
Height: 0.19 Width: 8.50 Depth: 11.02
Language: English
The Cantor Diagonal Argument (CDA) is the quintessential result in Cantor's infinite set theory. This is one procedure that almost everyone who studies this subject finds astounding. However, mathematicians maintain that the CDA is absolutely correct and that the countless people trying to repudiate the CDA are not only wrong but are seemingly irrational enough to challenge such a widely accepted result.This book outlines all the different issues with the CDA. And, there are many.This book does not attempt to disprove the CDA by finding fault with it. Since the mathematical community has not bought into any of the tens of counterarguments it likely will ignore yet one more. Instead, assuming the CDA is correct, we create a situation where the CDA produces results when it really shouldn't and use the CDA itself to discredit the CDA.Cantor's infinite set theory is largely based on arbitrary rules, confounding axioms, and logic that defies intuition and common sense. Our previous books explain exactly what is wrong and why. The theory is hopelessly flawed because the starting assumption - the axiom of infinity - is wrong. There is no such thing as an infinite set. But mathematicians stubbornly stick to their belief that everything is correct.Hopefully this is the straw that breaks the camel's back!

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