The former profile picture of the Googleaarex account
Aarex Tiaokhiao (born October 12, 2001[1]) is an American googologist. The name is believed to be a pseudonym. He developed some extensions of the known notations and published them on his own site.[2]
He was inactive for most of 2018 through 2020, but has recently returned.
He has 3 accounts on Fandom:
- Aarex Tiaokhiao (created in October 16, 2010, merged to Googleaarex account)
- Googleaarex (created in April 18, 2012, current account)
- AarexWikia04 (created in July 12, 2016, disabled)
Contents
Legacy
In 2010s, Tiaokhiao invented the Aarex function, which he claims to be the fastest growing function ever.[3][dead link][citation needed] However, that function is a naive extension of Adam Goucher's xi function, and also Rayo's function easily surpasses it.
Since 2021, Aarex have been returned into Googology, citing that he made some strong notations in this blog post.[4] One of them was known as "Aarex's Oddly Strong Notation"[5]. He has made a hypothetical statement that some of his power notations could theoretically beat TSS in the webpage, but the notation is ill-defined due to many errors[6]. Also, the analyses by Aarex include many expressions based on undefined OCFs, and hence evaluations like "reaching Mahlo level" is based on a logical misconception. See Rathjen's psi function#Common misconceptions for related common misconceptions. He works with many googologists such as Tetramur, Spampingabot, Veblen Waifu, Ytosk, and Binary198, to develop and formalize extremely powerful notations.
Other things
From 2016 and onwards, Aarex made Windows Never Released versions YouTube videos & worked on Googology less than he did earlier. But in March 2019, Aarex quit WNR,[7] and is currently inactive on YouTube.
He has also developed several incremental games,[8] including a modification of Antimatter Dimensions known as NG+++, which speeds up the early game and adds a ton of new content.
He is currently a bit active at JToH's Joke Towers Wiki as of 10/24/21.
User Spampingabot#2120 on discord got him back into googology by proposing his idea of a super strong array notation capable of beating SAN, as of September of 2021[4]. But SAN is known to be unformalised, and hence "capable of beating SAN" does not make sense.
See also
Sources
- ↑ Aarex's Large Number List - Part 1 - The Small Bit of Numbers
- ↑ Aarex's Googology
- ↑ Aarex Tiaokhiao's old home page
- ↑ 4.0 4.1 I'm back, again!
- ↑ https://docs.google.com/document/d/12K01csXDQ6-dbhdGWwxDmYWVHuTZGmUqw2M-v6XoNeg/edit
- ↑ https://googology.wikia.org/wiki/User_blog:Googleaarex/I%27m_back,_again!?commentId=4400000000000038246
- ↑ I'm leaving WM.
- ↑ Aarex's incremental games
Concepts: googology · large number · eventual domination · ordinal · cardinal
Important numbers and functions: googol · googolplex · -illions · hyper-operators · Graham's number · Extensible-E system · TREE sequence · Busy beaver function · fast-growing hierarchy
People: Chris Bird · Jonathan Bowers · Harvey Friedman · Lawrence Hollom · André Joyce · Leo Moser · Robert Munafo · Sbiis Saibian · Aarex Tiaokhiao
