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.