Result · Mathematics Consequence Resolved

Unique Infinity

Category τ has exactly one infinity: the countable infinity ℵ₀ of the four orbit rays. There is no ℵ₁, no continuum, no uncountable cardinals. This contrad…

Mathematics Consequence reframing ARITH Book I

Overview

Category τ has exactly one infinity: the countable infinity ℵ₀ of the four orbit rays. There is no ℵ₁, no continuum, no uncountable cardinals. This contradicts standard set theory but follows from K6.

Result Statement

Unique infinity: ℵ₀ only. No uncountable cardinals. Follows from K6 (object closure). Contradicts ZFC cardinality. Status: Resolved.