We have the following indirect implication of form equivalence classes:

83 \(\Rightarrow\) 64
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
83 \(\Rightarrow\) 64 The Axiom of Choice, Jech, 1973b, page 52 problem 4.10

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number Statement
83:

\(E(I,II)\) Howard/Yorke [1989]: \(T\)-finite is equivalent to finite.

64:

\(E(I,Ia)\) There are no amorphous sets. (Equivalently, every infinite set is the union of two disjoint infinite sets.)

Comment:

Back