A diagram explaining how to compute the number.
The big boowa is equal to \( \lbrace 3,3,3 / 2 \rbrace \) in BEAF.[1] The term was coined by Jonathan Bowers.
Computation
- Let a1 = 3.
- Let a2 = 3&3&3 (a.k.a. triakulus).
- Let a3 = 3&3&...&3&3, where the number of threes is a2.
- Continue, letting an = 3&3&...&3&3 with an - 1 threes.
- Big boowa is aa3.
Approximations
| Notation | Approximation |
|---|---|
| U function | \(U^{U^3(3)}(3)\) |
| Fast-growing hierarchy | \(f_{\vartheta(\Omega_{\omega})+2}(3)\) |
| Hardy hierarchy | \(H_{\vartheta(\Omega_{\omega})\omega^2}(3)\) |
| Slow-growing hierarchy | \(g_{\vartheta(\Omega_{\Omega}+1)}(3)\) |
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Sources
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.