"Empty Space" Equivalent to "<kappa"

[Willem F Esterhuyse]

In this paper (see attached, last hint on the page included): "theta < kappa" means "theta is equivalent to <kappa" because "|P(theta)| = 2^theta <= |H(kappa)|". Is this wrong?

[Lorentz Jr]

1 hour ago, Willem F Esterhuyse said:

"theta < kappa" means "theta is equivalent to <kappa"

Is this wrong?

Yes, it's wrong.

[math]\theta<\kappa[/math]  means "theta is less than kappa".

Or something like that, given the context. Definitely not equivalence.

Edited February 14, 2023 by Lorentz Jr

[Genady]

2 hours ago, Willem F Esterhuyse said:

"theta < kappa" means "theta is equivalent to <kappa"

"2<3" means "2 is equivalent to <3"?

No, it does not. For example, 1<3 as well, but 1 is not equivalent to 2.