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
Public
Manuscript
Kernel
In plain language
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…
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: Internally addressed.