User:Edwin Shade/Sandbox

A nice shade of "googology-green".

\(\omega_{\omega}\)

\(\mathbb{T}^{\mathfrak{L}}_0=1\)

\(\mathbb{T}^{\mathfrak{L}}_1=\omega^2\)

\(\mathbb{T}^{\mathfrak{L}}_2=\text{Limit of TON}\)

\(\mathbb{T}^{\mathfrak{L}}_3=\text{Far Beyond TON}\)

\(FFP[\xi\mapsto\omega^{\xi}]=\varepsilon_0\)

\(NFP[\xi\mapsto\omega^{\xi}]=\varepsilon_{n-1}\)

\(\neg∃\xi:(FFP[\xi\mapsto\mathbb{T}_{\xi}^{\mathfrak{L}}]=\xi)\)

\(\forall∀\)

There are \(\aleph_1\) ordinals equivalent to orderings of sets of size \(\aleph_0\).

Pictures I'll be Using For An Upcoming Blog Post
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