Posty

Wyświetlanie postów z listopad, 2020

Cantor's theorem is false. There are no uncountable sets

Obraz
    A sufficiently rich alphabet makes it possible to create a countable set of T = all texts, containing all mathematical works, which, as we know, may sometimes contain very sophisticated characters. The selection of all texts with a specific feature among them, such as defining subsets of natural numbers or defining real numbers is very difficult, but we can always examine selected texts in terms of whether they correctly define the objects of interest to us. Therefore, at the beginning of the created string f I will arbitrarily insert a sequence of several texts ASAB = (T1, T2, T3, T4, T5, T6) instead of the first few digits, which do not define subsets and which will be rejected along with other texts by the verification procedure anyway. And the VP verification procedure consists in checking whether it is possible to specify any number of components of the subsets defined by these texts according to the block diagram: And only texts that pass the verification successfully will

BLOG--> Infinity: End of ALEPH ONE

Obraz
     A sufficiently rich alphabet makes it possible to create a countable set of texts containing all mathematical works, which, as we know, may sometimes contain very sophisticated characters. These texts may also contain, apart from theorems, proofs and mathematical definitions, any other texts, including the highest quality poetry, fiction and fantasy, along with dictionaries and encyclopedias mixed with the overwhelming majority of completely nonsensical texts. In addition, they can be texts written long ago and lost, texts currently available in the form of books, files, as well as texts that will be created in the future - e.g. texts that you write in response to this article.     Often, despite appearances of sense and truthfulness, the texts are fundamentally false, such as "regular ninahedron", or considered true in one epoch and false at another time, such as: "combustible bodies contain phloginstone released from them when burned". The evaluation of some