On the Boundaries of Constructive Definability in Arithmetic: The Fundamental Limit of the Natural Number Sequence из жанра Математика

On the Boundaries of Constructive Definability in Arithmetic: The Fundamental Limit of the Natural Number Sequence

Математика

Автор: PETROV JONAS M.

Язык: русский

Статус: Закончена

Добавила: Dyx~01k 20 Май 25

Проверил: Admin 21 Май 25

Формат: PDF (83 Kb)

Currently 0/5

Рейтинг: 0/5 (Всего голосов: 0)

Аннотация

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."