There are a lot of natural unknowable numbers, when using finite descriptions. There is a smallest number which may not be described with a finite alphabet.

26 мар. 2021 г. · Walter Bradley Center director Robert J. Marks interviewed mathematician Gregory Chaitin on his discovery of the “unknowable number.”

23 мая 2023 г. · Probably many people think of an irrational number such as pi (π) or Euler's number. And indeed, such values can be considered “wild.”

14 авг. 2010 г. · The system of natural numbers– 0, 1, 2, 3, 4 and so on ad infinitum– and the arithmetical rules used to manipulate them retain an exalted status as mathematics ...

In mathematics, an unknown is a number that is not known. Unknown numbers are commonly used in algebra, where they are also known as variables.

Bertrand Russell's 1903 masterpiece The Principles of Mathematics places great emphasis on the need to separate propositions from psychological items such ...

Each halting probability is a normal and transcendental real number that is not computable, which means that there is no algorithm to compute its digits. Each ...

28 мар. 2021 г. · Gregory Chaitin walks readers through his proof of unknowability, which is based on the Law of Non-contradiction.

19 июн. 2020 г. · The first branch of mathematics where unknown numbers/values can be represented by letters is Algebra (or pre-Algebra).

14 авг. 2010 г. · The only way that Friedman's undecidable statements can be tamed, and the integrity of arithmetic restored, is to expand Peano's rule book to ...