Cantors' Infinities: Taking the Next Step

Kindle Edition or EPUB + Converted PDF نویسندگان: Duane Allred
جزئیات
فرمت: Kindle Edition or EPUB + Converted PDF تاریخ انتشار نسخه الکترونیکی : June 5, 2019
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لینک: https://www.amazon.com/dp/B07SQB6S9S
توضیحات
This paper introduces a NEW TYPE of INFINITY. In this paper I show as simply as possible how Cantor did not define Infinity as useful as he could have and attempt to go beyond his definition to make Infinity more useful. In a nutshell Cantors definition of Cardinality can only show all infinite sets are infinite sets because Cantor ONLY compares the number of elements in each infinite set and not how those elements are related. Once you see the definitions shortcomings so many things in Mathematics becomes clear. Then I look at other concepts tied to Cantor and his definition of Infinity and beyond Infinity to make Mathematics better. The only reason these concepts could have been ignored for so long is that they were too elementary to notice by the standard Mathematical Community with the unquestioned acceptance of Argument by Authority that fit in with everyones personal biases. I really think these concepts had to come from outside the Professional Mathematics Community because the accepted Dogma was unquestioned.
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