## If n<ℵ∗(m)n < \aleph^*(m), then n<2mn < 2^m.

Without AC Let ℵ∗(m) be the least aleph that ≰. I need a help or hint that if n < \aleph^*(m), then n < 2^m. a \leq^* b means we can define a surjective map from b onto a. Answer HINT: If there is a surjection from A onto B, then there is an injection … Read more