The Two Couriers Problem and Diverse Approaches to Division by Zero

EasyChair Preprint 11410

Abstract

In this paper, we delve into the historical and enduring algebraic conundrum
known as the Two Couriers Problem, originally posed by the
French mathematician Clairaut in 1746. Over the centuries, this problem
has persisted, finding its way into numerous textbooks, journals, and
mathematical discussions. One of the remarkable aspects of the Two
Couriers Problem is its inherent connection to division by zero, a mathematical
operation that has intrigued scholars for generations.
Division by zero, a concept laden with complexity and ambiguity, has
sparked diverse mathematical approaches. Conventional mathematics regards
division by zero as an indeterminate or undefined result. However,
alternative methodologies have emerged over time. Transmathematics
defines division by zero as either nullity or explicitly positive or negative
infinity, offering a different perspective. Saitoh simplifies division by zero
as zero, challenging traditional conventions, while Barukˇci´c explores the
possibility of defining it as either unity or explicitly positive or implicitly
negative infinity.

Keyphrases: Prime, Real, narural

@booklet{EasyChair:11410,
  author    = {Budee U Zaman},
  title     = {The Two Couriers Problem and Diverse Approaches to Division by Zero},
  howpublished = {EasyChair Preprint 11410},
  year      = {EasyChair, 2023}}