What question did this study set out to answer?

This work aims to clarify foundational assumptions about infinite processes and establish a causal interpretation of classical paradoxes.

May 3, 2026Open Access

Inverse Cantorian Infinity

Key Points

This work aims to clarify foundational assumptions about infinite processes and establish a causal interpretation of classical paradoxes.
Developed a transformation between non-causal and causal representations of infinite structures.
Constructed an inverse framework based on relative cardinality and nominalism.
Analyzed the circular dependency of core properties in Cantorian Infinity.
Demonstrated a coherent inverse framework that is mathematically sound but mutually incompatible.
Identified circular dependencies among properties of Cantorian Infinity in the causal domain.
Provided insights into classical paradoxes, such as Galileo’s, through the newly defined framework.

Abstract

This paper develops a formal transformation between non-causal and causal representations of infinite structures and demonstrates that Cantorian Infinity, when expressed in the causal domain, exhibits a circular dependency among its core properties. Building on this analysis, a mathematically coherent but mutually incompatible inverse framework is constructed, not philosophical, grounded in relative cardinality and nominalism. The work aims to clarify foundational assumptions underlying infinite processes and provide a systematic causal interpretation of classical paradoxes such as Galileo’s.

Inverse Cantorian Infinity

Key Points

Abstract

Cite This Study

Also Consider

Also Consider