A virtual substitution of Brouwer choice sequence

TL;DR

This paper constructs a virtual sequence as a substitute for Brouwer's choice sequence, using prime number series and virtual set concepts, providing a new perspective on Brouwer's intuitionistic framework.

Contribution

It introduces a novel virtual sequence that replaces Brouwer's choice sequence, bridging prime number series with virtual set theory.

Findings

Constructed a quasi alternating prime number series

Developed a virtual sequence based on virtual set definition

Provided reasons for the virtual sequence substituting Brouwer's choice sequence

Abstract

Step by step a substitution of the well known Brouwer choice sequence will be constructed. It begins with an establishing of quasi alternating prime number series followed by a construction of a virtual sequence in sense of the virtual set definition. The last step gives reasons for why this virtual sequence substitutes the choice sequence created by L. E. J. Brouwer.