Cantor's Powerset Theorem, Graph-Theoretically

TL;DR

This paper explores Cantor's powerset theorem using graph theory, offering alternative proofs and a new proof to deepen understanding of the theorem's foundations.

Contribution

It introduces a novel graph-theoretic approach to Cantor's theorem and presents an original proof distinct from traditional methods.

Findings

Graph-theoretic interpretation of the powerset theorem

Multiple alternative proofs provided

A new proof of Cantor's theorem introduced

Abstract

We study Cantor's powerset theorem from a graph-theoretic perspective, consider some alternative proofs to Cantor's original, and provide a new proof.