On the Boundaries of Constructive Definability in Arithmetic

On the Boundaries of Constructive Definability in Arithmetic

The Fundamental Limit of the Natural Number Sequence

by Jonas M. Petrov

Join Readfeed freeFind clubs reading this bookBrowse readable books
About
Abstract: This paper introduces the concept of a natural number ("Numerus Apoptosis" or "Apoptonumerus"), the attainment of which leads to a fundamental collapse of arithmetic properties. It is proven that any attempt to define a natural number exceeding this value results in a logical contradiction within the framework of standard set theory axioms. The proposed object establishes an absolute set-theoretical limit for the concept of a "natural number."

Discuss On the Boundaries of Constructive Definability in Arithmetic with other readers

Join or start a book club for On the Boundaries of Constructive Definability in Arithmetic on Readfeed. Live chat, shared reading progress, and AI discussion questions — free to get started.

Sign up freeBrowse book clubs

Frequently asked questions

How do I join a book club for On the Boundaries of Constructive Definability in Arithmetic?

Sign up free on Readfeed, then browse public clubs or start your own club with On the Boundaries of Constructive Definability in Arithmetic as the current read. Invite friends with a share link and discuss together with live chat and AI discussion questions.

Can I discuss On the Boundaries of Constructive Definability in Arithmetic with other readers online?

Yes. Readfeed book clubs let you chat live, share progress, and join discussions about On the Boundaries of Constructive Definability in Arithmetic with readers worldwide — whether your club is virtual, in-person, or hybrid.

Is Readfeed free?

Yes. Creating an account and joining book clubs is free. Sign up to find readers who love the same books and start discussing today.