Number Tiers

All the defined tiers of positive numbers.
== Negative Tiers ==
Numbers that are below zero. For example, -1. There is a negative infinity too.
== Tier 0 ==
Zero. Not really a positive number.
== Tier 1 "Tiny" ==
Something in between 0 and 10^100 (10 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000)
== Tier 2 "Average" ==
Something in between 10^100 and 10^^100 (10^10^10^10....... (with 100 ^s)).
== Tier 3 "Huge" ==
Something in between 10^^100 and 10^^^100 (10^^10^^10..... (with 100 ^^s)).
== Tier 4 "Superhuge" ==
Something in between 10^^^100 and G64 (Graham's Number)
== Tier 5 "Ultrahuge" ==
Something in between G64 and Rayo's Number.
== Tier 6 "Hyperhuge" ==
Something finite and beyond Rayo's Number.
== Tier 7 "Countably Infinite" ==
ω, for example. The ω (Omega) is bigger than any N, that can be defined as natural number.
Then:
* ω + 1
* ω + ω (2ω)
* ω*ω (ω^2)
* ω^ω
* ε0 (ω^^ω (ω^ω^... (with ω ^s)))
* ε1 (ε0^^ω)
== Tier 8 "Uncountably Infinite" ==
* θ. The Inaccessible Cardinal. It is bigger than any countable infinity and every ordinal, being next to another ordinal.
* ח. The Compact Cardinal.
== Tier 9 "Ultimatuum" ==
CAI. The Cantor's Absolute Infinity (symbol: Ω) is considered to be bigger than any countable or uncountable, cardinal or ordinal, finite or transfinite, logical or illogical number, including the ones that are bigger than Ω.
Category:Math