On Monday, January 22, 2018 at 9:56:02 AM UTC+2, bassam king karzeddin wrote:
> What was the shortest rigorous proof for refutation of existence of all the positive real (non-constructible) numbers in mathematics?
>
> Even this innocent question might seem so ridiculous to most (mathematicians, logicians, philosophers, independent thinkers, politicians, scientists, engineers, school students, laypersons, ...etc), but so unfortunately it is a very simple fact that takes only few minutes to fully comprehend almost by a clever school students or even by a laypersons
>
> I see many people trying very hard to arrive at almost the same results by using
> what they call ZFC or Set theory or more complicated alleged advanced mathematics with so long theorems, videos, lectures, articles, ..., etc
>
> Also, this may constitutes a very good results and more understanding, but truly not much necessary, since the whole issue is much more simpler that, were also the business oriented tendency of the professionals might produce tons of so unnecessary papers and books exactly the same way they had done to produce what they are trying hard to refute nowadays
>
> To understand the so obvious refutation directly in just few lines or few minutes, just consider (say in positive real numbers) any given positive real (algebraic or transcendental, but non-constructible) numbers, where simply they are presented by existing constructible numbers up to degree of accuracy and no other way exists to describe them exactly by geometry that only can prove their true physical reality
>
> In brief, and generally they can be expressed as endless approximation as a ratio of two integers, but there true existence would require ultimately two non-existing integers based on their own definition, where this is not defined or acceptable in mathematic elementary principles beside being impossible task actually, but only assumed task that would remain forever in mind only and also hopelessly
>
> However, Many more articles had been PUBLISHED by me with more rigorous numerical irrefutable counter examples regarding this old issue, for sure
>
> Regards
> Bassam King Karzeddin
> Jan. 22ed, 2018