About: Fish numbers   Sponge Permalink

An Entity of Type : owl:Thing, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

Fish numbers are numbers defined by the Japanese googologist Fish. There are seven Fish numbers: * Fish number 1 is an extension of the Ackermann function and is comparable to \(f_{\omega^2+1}(63)\); * Fish number 2 is an extension of Fish number 1 and comparable to \(f_{\omega^3}(63)\); * Fish number 3 uses s(n) map and comparable to \(f_{\omega^{\omega+1} imes 63+1}(63)\); * Fish number 4 combines Fish number 3 with an oracle system; * Fish number 5 uses a system that reaches \(\varepsilon_0\); * Fish number 6 uses an extension of that system which reaches \(\zeta_0\); * Fish number 7 combines Fish number 6 with an oracle system in Rayo's function.

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  • Fish numbers
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  • Fish numbers are numbers defined by the Japanese googologist Fish. There are seven Fish numbers: * Fish number 1 is an extension of the Ackermann function and is comparable to \(f_{\omega^2+1}(63)\); * Fish number 2 is an extension of Fish number 1 and comparable to \(f_{\omega^3}(63)\); * Fish number 3 uses s(n) map and comparable to \(f_{\omega^{\omega+1} imes 63+1}(63)\); * Fish number 4 combines Fish number 3 with an oracle system; * Fish number 5 uses a system that reaches \(\varepsilon_0\); * Fish number 6 uses an extension of that system which reaches \(\zeta_0\); * Fish number 7 combines Fish number 6 with an oracle system in Rayo's function.
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dbkwik:googology/p...iPageUsesTemplate
abstract
  • Fish numbers are numbers defined by the Japanese googologist Fish. There are seven Fish numbers: * Fish number 1 is an extension of the Ackermann function and is comparable to \(f_{\omega^2+1}(63)\); * Fish number 2 is an extension of Fish number 1 and comparable to \(f_{\omega^3}(63)\); * Fish number 3 uses s(n) map and comparable to \(f_{\omega^{\omega+1} imes 63+1}(63)\); * Fish number 4 combines Fish number 3 with an oracle system; * Fish number 5 uses a system that reaches \(\varepsilon_0\); * Fish number 6 uses an extension of that system which reaches \(\zeta_0\); * Fish number 7 combines Fish number 6 with an oracle system in Rayo's function.
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