Notes on countable sets, uncountable sets, and Cantor's diagonalization argument. Build - via Nix. A nix environment is provisioned via default.nix and shell.nix. If you're building on NixOS or ...

Cantor’s diagonal argument answers that question, loosely, like this: Line up an infinite number of infinite sequences of numbers. Label these sequences with whole numbers, 1, 2, 3, etc. Then, make a ...

Cantor's diagonal argument is a proof technique used in mathematics, specifically in set theory, to demonstrate that some infinite sets are larger than others. Cantor's diagonalization argument is ...

Explore the Cantor Diagonal Argument in set theory and its implications for cardinality. Discover critical points challenging its validity and the possibility of a one-to-one correspondence between ...

Many-sorted naming systems are suggested as a natural approach to general computatability with many data types over arbitrary structures. The first part of the paper is a historical reconstruction of ...

This chapter contains sections titled: Georg Cantor 1845–1918, Cardinality, Subsets of the Rationals That Have the Same Cardinality, Hilbert's Hotel, Subtraction Is Not Well-Defined, General Diagonal ...

Remarks on the Cantor's nondenumerability proof of 1891 that the real numbers are noncountable will be given. By the Cantor's diagonal procedure, it is not... Skip to main content. Due to a planned ...

In a recent article Robert P. Murphy (2006) uses Cantor’s diagonal argument to prove that market socialism could not function, since it would be impossible for the Central Planning Board to complete a ...