User:Edwin Shade

Interesting Mathematical Stuff

 * The 2,000,000,000,000,000th digit of $$\pi$$ after the decimal in binary is 0.

How I Got Into Googology
It began about four years ago while I was playing the game Cookie Clicker, and upon the Cookie Clicker wiki I found the names of numbers such as undecillion and ''trevigintillion. this made me curious about the names of numbers past a quadrillion, and so I found myself on this Wiki, where I learned about a googolduplex, googoltriplex, and a googlquadplex. ''At that time, I don't believe I understood any mathematical operations beyond exponentiation so I would often just click on numbers because they had cool sounding names. I would have fun doing this, and pursued this for a few months, until I presumably lost interest.

A few months ago though I decided to revisit this old pastime of mine, due to some confusion in trying to relate a problem to someone I knew. The problem was as follows:

Given that $$f(x)=x^{x^{x^{.^{.^.}}}}$$, what is the highest positive value x can be such that $$f(x)$$ is finite, or does not diverge ?

The confusion in trying to relate this problem to another person was that I knew of no way to mathematically represent an infinitely high power tower of x's. So I invented a symbol for it, $$\Delta_4$$, which represented the 4th "tier of operations", where the first tier was addition, the second multiplication, and the third exponentiation.

$$a\Delta_{4} b$$ means "a tetrated to the b-th".

I had a nagging thought though- hadn't this already been done ? I remembered the time I had spent on the Googology Wiki and recalled that there was operation identical to this. So I searched for it, and found tetration. This was all it took for my enthusiasm to double as I learned with renewed fervor the functions and numbers I could not understand when I was younger.

So now I'm here, in the present, with knowledge of the fast-growing hierarchy, and Veblen functions. It has been quite fun actually, because Googology combines the rigour of mathematics with a certain feeling of exploration, like going into a mine-shaft and not knowing what you'll face. (I use this analogy both in reference to a real-life scenario and in reference to a game I've only been able to play a few times, but nonetheless really like, and that's Minecraft.)

There's still plenty for me to learn though, like BEAF and the many array notations people have developed over the years.

Below is some miscellaneous material that relate to numbers or Googology in one way or another.

Googological Memes
The following are some memes I've seen or created that I find funny. All credit for the first 1 belongs to Kochab1.







Music n' Numbers
Here is a list of songs that mention a specific number.



About Myself
Well, since this is the internet I won't say too much, but you most likely know that I am human. Or I could just be a sufficiently advanced automaton that can pass the Turing Test. Or I could be a hyper-intelligent dog that owns an underground crime syndicate that makes a profit off of selling missing pairs of socks to sock dealers. Or maybe I'm not actually here at all and you are just hallucinating the fact you read this, or maybe...

In any case, I like mathematics and that's why I'm on this site, I have a site here which you can visit, (though it is very much in the making). I have created such numbers as the Seinfeldplex, Zlaccalmlaeltchgylkcylthrelnth, and the Quququelekkatakimeronanoremikatakkeleuququq.

For Myself
For convenience of reference, I have compiled a list of all the blog posts on this Wiki linked in chronological order.

March
I like making big numbers by Billy bob-Mario (March 30, 2012)

April
Helping to Complete a Ggggol Series by Googleaarex (April 20, 2012)

Infinity by Googleaarex (April 22, 2012)

Googol by Googleaarex (April 22, 2012)

May
Factorials by Ikosarakt1 (May 30, 2012)

Prefixes by Ikosarakt1 (May 30, 2012)

June
Exponential models by Ikosarakt1 (June 1, 2012)

Numbers Order by Googleaarex (June 1, 2012)

Googol and googolplex with suffixes and prefixes by Ikosarakt1 (June 1, 2012)

'''[http://googology.wikia.com/wiki/User_blog:Ikosarakt1/Googol_and_googolplex_with_suffixes_and_prefixes. Googol and googolplex with suffixes and prefixes. by Ikosarakt1 (June 2, 2012)]'''

Other zillions by Ikosarakt1 (June 2, 2012)

Infinite Numbers by Googleaarex (June 6, 2012)

Grangol by Googleaarex (June 6, 2012)

July
'''[http://googology.wikia.com/wiki/User_blog:Vel!/Deletion_spree Deletion spree by Vel! (July 17, 2012)]'''

August
'''[http://googology.wikia.com/wiki/User_blog:Vel!/On_salad_numbers On salad numbers by Vel! (August 18, 2012)]'''

September
'''[http://googology.wikia.com/wiki/User_blog:Vel!/Redefining_number_classes Redefining number classes by Vel! (September 8, 2012)]'''

October
'''[http://googology.wikia.com/wiki/User_blog:Vel!/Hyperfactorial_digits Hyperfactorial digits by Vel! (October 4, 2012)]'''

'''[http://googology.wikia.com/wiki/User_blog:Deedlit11/Is_BEAF_well-defined%3F Is BEAF well-defined ? by Deedlit11 (October 21, 2012)]'''

'''[http://googology.wikia.com/wiki/User_blog:Vel!/100 100 by Vel! (October 24, 2012)]'''

November
Factorial function by Ikosarakt1 (November 26, 2012)

December
Symbols function by Ikosarakt1 (December 5, 2012)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Symbols_function Symbols function by Vel! (December 18, 2012)]'''

Leading digits of 2 tetrated to 6 by Ikosarakt1 (December 27, 2012)

January
Leading digit of googolgong factorial by Ikosarakt1 (January 1, 2013)

myblog by Jiawheinalt (January 3, 2013)

Wikibreak by Cloudy176 (January 6, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Perfect_powers Perfect powers by Vel! (January 12, 2013)]'''

Ideas by Googolaarex (January 19, 2013)

February
'''[http://googology.wikia.com/wiki/User_blog:Ikosarakt1/Extension_of_Chris_Bird%27s_array_notation. Extension of Chris Bird's array notation by Ikosarakt1 (February 3, 2013)]'''

Goodstein sequence G(4) by Cloudy176 (February 4, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Jiawheinalt/Buy_shareware_at_cheaper_price. Buy sharewear at a cheaper price by Jiawheinalt (February 4, 2013)]'''

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Facepalm Facepalm by Vel! (February 12, 2013)]'''

March
A lower bound for the Graham's number problem by Deedlit11 (March 7, 2013)

SCG(1) by LittlePeng9 (March 10, 2013)

Tetrational Arrays by Googleaarex (March 10, 2013)

An ordinal version of Bowers' notation by Deedlit11 (March 13, 2013)

The slow-growing hierarchy and other hierarchies by Deedlit11 (March 13, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Ordinal_BEAF Ordinal BEAF by Vel! (March 14, 2013)]'''

Addition Numbers by Googleaarex (March 14, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Ordinal_Hyper-E Ordinal Hyper-E by Vel! (March 15, 2013)]'''

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Miscellanous_ordinal_extensions Miscellanous ordinal extensions by Vel! (March 15, 2013)]'''

A rigorous definition for pentational arrays by Deedlit11 (March 15, 2013)

Multiplication numbers by Googleaarex (March 17, 2013)

Extending the fast-growing hierarchy to nonrecursive ordinals by Deedlit11 (March 18, 2013) 

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Calculators_%27n%27_stuff Calculators 'n' stuff by Vel! (March 19, 2013)]'''

tree(n) and otree(n) by Deedlit11 (March 20, 2013)

Apocalyptic function by Ikosarakt1 (March 20, 2013)

Hardy by Googleaarex (March 20, 2013)

Exponentiation Numbers by Googleaarex (March 20, 2013)

Omega Numbers by Googleaarex (March 21, 2013)

Keith Ramsay on the largest definable number by Deedlit11 (March 22, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Tetrational_trailing_digits Tetrational trailing digits by Vel! (March 22, 2013)]'''

Rigorous definition for hexational arrays and beyond by Deedlit11 (March 24, 2013)

Formal defintion of tetrational arrays by Ikosarakt1 (March 25, 2013)

Pentational Arrays by Googleaarex (March 25, 2013)

Hyperfactorial array notation by DrCeasium (March 27, 2013)

Continued hyperfactorial array notation by DrCeasium (March 27, 2013)

My Turing machine programs by Ikosarakt1 (March 27, 2013)

Extended hyperfactorial array notation by DrCeasium (March 28, 2013)

Extended Factorial by Googleaarex (March 28, 2013)

Random Turing machines by LittlePeng9 (March 28, 2013)

Hyperfactorial Notation - Take 2 by DrCeasium (March 30, 2013)

Factorial Pentational by Googleaarex (March 30, 2013)

Okay, more Turing machines by Deedlit11 (March 31, 2013)

April
Factorial N-ational by Googleaarex (April 1, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Proof_of_the_Riemann_hypothesis%3F Proof of the Riemann Hypothesis? by Vel! (April 1, 2013)]'''

Bigger Prefixes by Googleaarex (April 1, 2013)

fast growing hierarchy example by DrCeasium (April 4, 2013)

SGH Functions by Googleaarex (April 4, 2013)

Named hyperfactorial numbers by DrCeasium (April 4, 2013)

Extended HyperNested Arrays by Googleaarex (April 7, 2013)

Extended HyperNested Arrays P2 by Googleaarex (April 8, 2013)

TM rulesets to Golly rule tables converter by Cloudy176 (April 8, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Ordinal_Hyper-E_2.0 Ordinal Hyper-E 2.0 by Vel! (April 8, 2013)]'''

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Ordinal_BEAF_2.0 Ordinal BEAF 2.0 by Vel! (April 9, 2013)]'''

Yet another blog post of Turing machines by Cloudy176 (April 10, 2013)

Introduction to pentational arrays by Ikosarakt1 (April 11, 2013)

f w+2(n) machine by Googleaarex (April 11, 2013)

Googology in Magic: the Gathering by Deedlit11 (April 12, 2013)

Color reducing for Turing machines by LittlePeng9 (April 12, 2013)

Aarex's FGH example by Googleaarex (April 12, 2013)

Hardy Turing by Googleaarex (April 13, 2013)

Hexational Arrays and Beyond by Googleaarex (April 13, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Ikosarakt1/Extending_xE%5E_to_expandal-array_level. Extending xE^ to expandal array-level. by Ikosarakt1 (April 14, 2013)]'''

new hyperfactorial array notation by DrCeasium (April 15, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Omega_and_power_towers Omega and power towers by Vel! (April 17, 2013)]'''

Hyperfactorial notation update by DrCeasium (April 22, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Limit_of_Communication Limit of Communication by Vel! (April 23, 2013)]'''

Creating fast-growing function by LittlePeng9 (April 23, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Note Note by Vel! (April 27, 2013)]'''

'''[http://googology.wikia.com/wiki/User_blog:LittlePeng9/How_many_books_are_there%3F How many books are there? by LittlePeng9 (April 28, 2013)]'''

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Factoid_notation Factoid notation by Vel! (April 30, 2013)]'''

May
Hyperfactorial multidimensional arrays by DrCeasium (May 4, 2013)

Hyperfactorial array notation: Analysis part 1 by Cloudy176 (May 7, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Division_by_zero Division by zero by Vel! (May 8, 2013)]'''

'''[http://googology.wikia.com/wiki/User_blog:Vel!/A_medley_of_countability_proofs A medley of countability proofs by Vel! (May 10, 2013)]'''

Extended Cascading-E notation by DrCeasium (May 18, 2013)

Hyperfactorial array notation: Analysis part 2 by DrCeasium (May 25, 2013)

Hyperfactorial array notation: Analysis part 3 by DrCeasium (May 29, 2013)

June
Tetration Numbers by Googleaarex (June 3, 2013)

Dollar function part 1 by Wythagoras (June 5, 2013)

brace1 by Jiawhien (June 5, 2013)

Dollar function part 2 by Wythagoras (June 7, 2013)

HAN: better definitions by DrCeasium (June 8, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Bye Bye by Vel! (June 11, 2013)]'''

BEAN is much stronger by Ikosarakt1 (June 12, 2013)

Extension to Friedmann's stuff by Wythagoras (June 12, 2013)

Can someone give me a number that dwarfs this one?(if possible) by Grand Supreme Kai (June 13, 2013)

Dollar function formal definition by Wythagoras (June 16, 2013)

Fast-growing hierarchy by Ikosarakt1 (June 19, 2013)

Ordinal notation II: Up to the Bachmann-Howard ordinal by Deedlit11 (June 19, 2013)

My Numbers by Wythagoras (June 27, 2013)

Ordinal Notations I: Up to the Schutte Klammersymbolen by Deedlit11 (June 30, 2013)

July
Ordinal Notations III: Collapsing Higher Cardinalities by Deedlit11 (July 2, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Ramblings_on_Iota Rambling on Iota by Vel! (July 4, 2013)]'''

FGH of Array Notations by Wythagoras (July 5, 2013)

Dollars function by Wythagoras (July 6, 2013)

HAN: multidimensinal arrays by DrCeasium (July 6, 2013)

Uncountable function cannot exists by Ikosarakt1 (July 6, 2013)

All my stuff by Wythagoras (July 7, 2013)

Ordinal Notations IV: Up to a weakly inaccessible cardinal by Deedlit11 (July 9, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/BB(n)_in_FOST BB(n) in FOST by Vel! (July 9, 2013)]'''

BEAN is much stronger: from 0 to Г 0 by Ikosarakt1 (July 9, 2013)

BEAN is much stronger: from Г0 to LVO by Ikosarakt1 (July 9, 2013)

BEAN is much stronger: beyond LVO by Ikosarakt1 (July 9, 2013)

FGH Dollars Function by Wythagoras (July 10, 2013)

FGH Notation by Googleaarex (July 10, 2013)

Complete Proper Combinators by Tomtom2357 (July 13, 2013)

Coding strings as ordinals (For Friedman's n(k)) by Ikosarakt1 (July 13, 2013)

New bound for SSCG(2) by Wythagoras (July 14, 2013)

Examples for Bird's array notation by Ikosarakt1 (July 15, 2013)

Ordinal Notations V: Up to a weakly Mahlo cardinal by Deedlit11 (July 15, 2013)

FGH Ordinals by Googleaarex (July 16, 2013)

Ordinal Notations VI: Up to a weakly compact cardinal by Deedlit11 (July 17, 2013)

Extensions to Extended Hyper E Notation by Wythagoras (July 20, 2013)

Dollars Function by Wythagoras (July 20, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Activity Activity by Vel! (July 24, 2013)]'''

How many numbers can be named using Saibian's naming system by Wythagoras (July 27, 2013)

Intractable problems from hidden information games by LittlePeng9 (July 28, 2013)

Strength of Hierarchical Nested Subscript Array Notation by Wythagoras (July 29, 2013)

August
Croutonillion by Flavio61 (August 6, 2013)

FGH Prefixes by Googleaarex (August 7, 2013)

Extension of SCG by Wythagoras (August 7, 2013)

Hyper-Operators Numbers by Googoleaarex (August 7, 2013)

New Extended Bracket Notation by Wythagoras (August 9, 2013)

Coins in boxes by Wythagoras (August 12, 2013)

Comparisons in the ordinals between three ordinal collapsing functions by Ikosarakt1 (August 12, 2013)

FGH comparisons by Wythagoras (August 15, 2013)

Unlimitable Ordinals by Googleaarex (August 22, 2013)

Buchholz hydra by Wythagoras (August 28, 2013)

Step for step HAN and Dollar Function FGH analysis by Wythagoras (August 30, 2013)

TREE(n) by Wythagoras (August 31, 2013)

September
Explicit ruleset for trees up to psi(psi |(0)) by Ikosarakt1 (September 1, 2013)

Updated TM ruleset to Golly rule table converter by Cloudy176 (September 8, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Flavio61/Valid_espression%3F Valid espression? by Flavio61 (September 11, 2013)]'''

BEAF isn't so strong by Hyp cos (September 21, 2013)

Formal definition of BEAF by Wythagoras (September 21, 2013)

Dollar Function: new version by Wythagoras (September 28, 2013)

Binary relations via Turing machines by LittlePeng9 (September 30, 2013)

October
Two Extensions of BEAF by Hyp cos (October 4, 2013)

Very strong variant of BEAF by Wythagoras (October 4, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Hyp_cos/Bird%27s_array_notation_-_Extension%3F Bird's array notation - Extension? by Hyp cos (October 11, 2013)]'''

My Turing machines by Wythagoras (October 11, 2013)

FGH of Dollar Function new version by Wythagoras (October 19, 2013)

Analysis - BEAF, FGH and SGH (part 1) by Hyp cos (October 22, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Factorials Factorials by Vel! (October 23, 2013)]'''

Extension of the busy beaver function by Wythagoras (October 23, 2013)

Dollar function redux (October 23, 2013)

Analysis - BEAF, FGH and SGH (part 2) by Hyp cos (October 25, 2013)

Analysis - BEAF, FGH and SGH (part 3) by Hyp cos (October 29, 2013)

Another research in comparisons between FGH and SGH by Ikosarakt1 (October 30, 2013)

November
English description of Fish numbers by Kyodaisuu (November 2, 2013)

Proof that there is no way to write Rayo function in compact form inside FOST by Kyodaisuu (November 3, 2013)

HAN by Wythagoras (November 10, 2013)

Catching function in normal ordinals by Wythagoras (November 12, 2013)

Dollar function: final version by Wythagoras (November 13, 2013)

Functions that combined by Googleaarex (November 16, 2013)

Dollar function: final version FGH by Googleaarex (November 17, 2013)

Extensions of Catching function by Ikosarakt1 (November 19, 2013)

Catching Function by Googleaarex (November 25, 2013)

Dollar function: final version Turing machine by Googleaarex (November 26, 2013)

Extended Up Arrow Notation by Googleaarex (November 28, 2013)

Extended Up Arrow Numbers by Googleaarex (November 29, 2013)

December
'''[http://googology.wikia.com/wiki/User_blog:Vel!/5_years 5 years by Vel! (December 5, 2013)]'''

Googology Wiki in Japanese by Kyodaisuu (December 6, 2013)

Interlanguage link by Kyodaisuu (December 7, 2013)

Dollar Function: final version Rules by Googleaarex (December 8, 2013)

BEAF: structures and ordinals by Wythagoras (December 10, 2013)

R Function FGH by Googleaarex (December 11, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Ordinals_and_arrow_notation Ordinals and arrow notation by Vel! (December 11, 2013)]'''

Stronger Hyperfactorial Array Notation by Googleaarex (December 13, 2013)

Dollar function: complete ruleset by Wythagoras (December 14, 2013)

I can't create a page by Kyodaisuu (December 15, 2013)

Calculating Moser's Number by Aetonal (December 21, 2013)

Ex-Ex-Extended Array Hydra by Googleaarex (December 22, 2013)

N-Goldstein sequence by Googleaarex (December 23, 2013)

'''[http://googology.wikia.com/wiki/User_blog:Vel!/Nested_Buchholz_hydra Nested Bolchholz hydra by Vel! (December 24, 2013)]'''

Symbol Function by Googleaarex (December 25, 2013)

2 and 3-variable Psi function by Googleaarex (December 27, 2013)

January
Arrow notations by Wythagoras (January 2, 2014)

[3 years and 8 months have been omitted for now, but I will finish the list by the end of November 2017]

August
Extensions to the SK Calculus by Emlightened (August 16, 2017)

FS for Hypcos's notation (with weakly inaccessibles cardinals) up to Ψ(M^2) by Denis Maskudov (August 17, 2017)

Fundamental sequence for DON by Alemagno12 (August 17, 2017)

I need another help by Unknown95387 (August 18, 2017)

googlespark by Thomasgamer4000 (August 19, 2017)

Solution to Barry's Paradox by Alemagno12 (August 20, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Unknown95387/I_have_good_news_for_y%27all._I_don%27t_need_help_for_now._I_just_wanna_tell_you_something I have good news for y'all. I don't need help for now. I just wanna tell you something by Unknown95387 (August 21, 2017)]'''

A Beginning by Edwin Shade (August 22, 2017)

DAN is weaker than R function by Alemagno12 (August 26, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/How_Do_I_Evaluate_BEAF_Arrays_In_Two_Dimensions_%3F How Do I Evaluate BEAF Arrays In Two Dimensions ? by Edwin Shade (August 27, 2017)]'''

Saibian's Guppy Regement with Letter Notation by PsiCubed2 (August 27, 2017)

Super Fast-growing Ordinal-collapsing function by Edwin Shade (August 28, 2017)

Testing by Edwin Shade (August 29, 2017)

AQUARIAN NOTATION by Primussupremus (August 29, 2017)

My Own Naming System by Edwin Shade (August 29, 2017)

September
'''[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/Is_Pi_%F0%9D%98%99%F0%9D%98%A6%F0%9D%98%A2%F0%9D%98%AD%F0%9D%98%AD%F0%9D%98%BA_Transcendental_%3F Is Pi 𝘙𝘦𝘢𝘭𝘭𝘺 Transcendental ? by Edwin Shade (September 1, 2017)]'''

gooooooooooooooooooogle by Thomasgamer4000 (September 1, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Nayuta_Ito/The_(new)_10000th_article! The (new) 10000th article! by Nayuta Ito (September 2, 2017)]'''

The value of Rado's sigma function for 5-state TMs by DrCeasium (September 2, 2017)

New language for GWiki by Unknown95387 (September 4, 2017)

A Googology Theme Song by Edwin Shade (September 6, 2017)

Just read by Unknown95387 (September 6, 2017)

Guessing the definition of PGN from Psi's Current Value of PEGG by Nayuta Ito (September 9, 2017)

The Number Of Pages On This Wikia by Edwin Shade (September 9, 2017)

A suggestion by Fluoroantimonic Acid (September 10, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Nnn6nnn/What_happened_to_the_Googology_Wiki%3F%3F%3F What happened to the Googology Wiki??? by Nnn9nnn (September 12, 2017)]'''

Sbiis could create one of the fastest growing computable notations by Alemagno12 (September 14, 2017)

Advanced approximation project by Hyp cos (September 14, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/How_High_Can_You_Go_%3F How High Can You Go ? by Edwin Shade (September 15, 2017)]'''

Insanely Fast-Growing Functions by Simplicityaboveall (September 15, 2017)

OverView Video of My Work on Googology by Simplicityaboveall (September 15, 2017)

Insanely Fast-Growing Functions ( Documents) by Simplicityaboveall (September 15, 2017)

OverView Video - Insanely Fast-Growing Functions by Simplicityaboveall (September 15, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Bubby3/Analysis_of_Solidus-Extended-Cascading_E_notation_remade. Analysis of Solidus-Extended-Cascading E notation remade. by Bubby3 (September 15, 2017)]'''

List of Extensive-E System Regiments by Rpakr (September 15, 2017)

SAT vs TON approximations by Alemagno12 (September 17, 2017)

Insanely Fast-Growing Functions (Part 2 of 2) by Simplicityaboveall (September 18, 2017)

Insanely Fast-Growing Functions (Part 2 of 2 - YouTube) by Simplicityaboveall (September 18, 2017)

Insanely Fast-Growing Functions (PDF) - Complete Work With added pages by Simplicityaboveall (September 18, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Cloudy176/Hi_! Hi ! by Cloudy176 (September 18, 2017)]'''

Extension to the guppy regiment by ArtismScrub (September 20, 2017)

'''[http://googology.wikia.com/wiki/User_blog:ArtismScrub/Ordinal_factorial_notation%3F Ordinal factorial notation? by ArtismScrub (September 21, 2017)]'''

'''[http://googology.wikia.com/wiki/User_blog:Unknown95387/I%27ve_created_the_longest_name_for_the_number_ever! I've created the longest name for the number ever! by Unknown95387 (September 22, 2017)]'''

The Most Powerful Array Notation Yet Devised by Edwin Shade (September 24, 2017)

Brand-new Googologism from Algebra by Nayuta Ito (September 24, 2017)

Defining LOCC (Language Of Ordinal Construction) by Edwin Shade (September 24, 2017)

'''[http://googology.wikia.com/wiki/User_blog:OverlordRocks/Bigger_numbers%3F Bigger numbers? by OverlordRocks (September 26, 2017)]'''

The Things Dr Bright Is Not Allowed To Do At Googology Wiki by Nayuta Ito (September 26, 2017)

I am the very model of a modern Googologist by Edwin Shade (September 27, 2017)

LOCC challenge by Nayuta Ito (September 27, 2017)

Hashtags and E's? by OverlordRocks (September 27, 2017)

Ordinal Notations VII: Indescribables by Deedlit11 (September 29, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Acamaeda/A_new_largest_number,_maybe%3F A new largest number, maybe? by Acadaeda (September 29, 2017)]'''

Calculating values of SIR function by Alemagno12 (September 30, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/What_is_Sasquatch_%3F_(Help_Needed) What is Sasquatch ? (Help Needed) by Edwin Shade (September 30, 2017)]'''

Conversion Tables for Psi's Letter Notation by Nayuta Ito (September 30, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Nayuta_Ito/Calculating_values_of_SIR_function,_by_inventor_himself. Calculating values of the SIR function, by inventor himself. (September 30, 2017)]'''

'''[http://googology.wikia.com/wiki/User_blog:ArtismScrub/A_new_way_to_extend_the_-illions%3F A new way to extend the -illions? by ArtismScrub (September 30, 2017)]'''

October
LOOC Challenge II (A continuation of Nayuta Ito's Post) by Edwin Shade (October 1, 2017)

Nish's LOOC Challenge by Alemagno12 (October 1, 2017)

Googol series from the new source by Naytua Ito (October 1, 2017)

General fundamental sequences for OCFs by Hyp cos (October 2, 2017)

The Origami Function by Edwin Shade (October 2, 2017)

zootzoot prefix by Nayuta Ito (October 3, 2017)

Comparison of the separator comparing process of SAN and BAN by Edwin Shade (October 3, 2017)

Ordinal arithmetic by Rgetar (October 3, 2017)

Ordinal subtraction and integer extension of ordinals by Rgetar (October 4, 2017)

Less-than greater-than separators in decimal and ω-ry number systems by Rgetar (October 4, 2017)

"Zoot notation": extending on the "zootzoot series" by ArtismScrub (October 4, 2017)

CoC and Loader's Number by Alemagno12 (October 5, 2017)

Pop The Balloons Challenge III (Continuation of Googleaarex's Challenge) by Edwin Shade (October 5, 2017)

Ordinals in CGT by Alemagno12 (October 7, 2017)

I need help by Unknown95387 (October 7, 2017)

Don't Drink and Derive by Edwin Shade (October 7, 2017)

362880 by I am a McCree God (October 8, 2017)

Googoloctiplexminex by I am a McCree God (October 8, 2017)

1/2/3/4/5/6/7/8/9 by I am a McCree God (October 8, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Bubby3/nth_order_cardinals_and_n-seperators. nth order cardinals and n-seperators by Bubby3 (October 8, 2017)]'''

The Nano-Graham Problem by Edwin Shade (October 8, 2017)

Ninionflyunio by I am a McCree God (October 9, 2017)

False Giaxul by ArtismScrub (October 9, 2017)

[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/Turing_Machines_and_a_Problem_by_Vel!_Posed_Half_a_Decade_Ago '''Turing Machines and a Problem by Vel! Posed Half a Decade Ago by Edwin Shade (October 10, 2017)''']

Not Turing Machines by Alemagno12 (October 10, 2017)

Large Words (Part 1) by Edwin Shade (October 10, 2017)

[http://googology.wikia.com/wiki/User_blog:Bubby3/Bigger_than_Graham%27s_number_analogy. '''Bigger than Graham's number analogy. by Bubby3 (October 11, 2017)''']

Forever Endeavor Continued by Edwin Shade (October 11, 2017)

Someone Ban This Guy by Edwin Shade (October 12, 2017)

Someone Ban This Guy by Edwin Shade (October 12, 2017)

A Revised Fast-Growing Hierarchy and Extended Copy Notation by Edwin Shade (October 12, 2017)

Yauizion by I am a McCree God (October 14, 2017)

String Transforms (Outline - more detailed post to follow...) by AJZajac (October 14, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/You_Know_You%27re_a_Googologist_When... You Know You're A Googologist When... by Edwin Shade (October 14, 2017)]'''

'''[http://googology.wikia.com/wiki/User_blog:I_am_a_McCree_God/e%5E... e^... by I am a McCree God (October 14, 2017)]'''

'''[http://googology.wikia.com/wiki/User_blog:I_am_a_McCree_God/e%5E... Gazillion by I am a McCree God (October 14, 2017)]'''

A well-ordering of graphs by Alemagno12 (October 14, 2017)

A Slight Change to Knuth's Up Arrow Notation by Edwin Shade (October 15, 2017)

WaxPlank Function by WaxPlank (October 15, 2017)

The problem with using X's in BEAF by Alemagno12 (October 16, 2017)

Analysis of AJZajac's blog post by Alemagno12 (October 16, 2017)

Higher Dimensional-Spaces by Edwin Shade (October 16, 2017)

Further extension to Cookiefonster's extended corporal numbers by ArtismScrub (October 16, 2017)

Intuitive Arrow Notation by Nayuta Ito (October 17, 2017)

An Interesting Property by Edwin Shade (October 17, 2017)

Offtopic question about a mathematical problem by PsiCubed2 (October 17, 2017)

[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/A_Number_Naming_System_Perhaps_Beyond_Saibian_or_Bower%27s_! '''A Number Naming System Perhaps Beyond Saibian or Bower's ! by Edwin Shade (October 17, 2017)''']

BEAF ordinals, my analysis by Bubby3 (October 18, 2017)

Mathematical Rap Battles - Jonathan Bowers vs. Sbiis Saibian by Edwin Shade (October 18, 2017)

FINALLY, a Layman's Explanation of TREE(3) by Edwin Shade (October 19, 2017)

I love numberphile by Kochab1 (October 20, 2017)

Ten Tremilliamilliamilliam...trecentretriginmilliamilliatrecentretriginmilliatrecenduotrigintillion by I am a McCree God (October 20, 2017)

Googology memes by Kochab1 (October 20, 2017)

100^99^98...^1 by I am a McCree God (October 20, 2017)

'''[http://googology.wikia.com/wiki/User_blog:I_am_a_McCree_God/100!%5E99!%5E98!%5E...%5E1! 100!^99!^98!^...^1! by I am a McCree God (October 20, 2017)]'''

'''[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/How_do_you_evaluate_extended_Veblen_notation_%3F How do you evaluate extended Veblen notation ? by Edwin Shade (October 20, 2017)]'''

A function with the same growth rate as BMS by Alemagno12 (October 20, 2017)

1111 by ArtismScrub (October 21, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Hyp_cos/Are_these_functions_well-defined%3F Are these functions well-defined ? by Hyp cos (October 21, 2017)]'''

The Timeline Function by Edwin Shade (October 22, 2017)

'''[http://googology.wikia.com/wiki/User_blog:I_am_a_McCree_God/1,234,567,890! 1,234,567,890! by I am a McCree God (October 22, 2017)]'''

X Hierarchy by Chronolegends (October 22, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/How_do_you_Rayo-name_BB(n)_%3F How do you Rayo-name BB(n) ? by Edwin Shade (October 22, 2017)]'''

SF Function by Sigmafive (October 23, 2017)

The Quicksilver Hierarchy by Edwin Shade (October 23, 2017)

Reading Blog Posts in Wacky Ways (Miscellaneous) by Edwin Shade (October 23, 2017)

Help request - tips on entering mathematical symbols into blog by AJZajac (October 24, 2017)

I Have a Problem With Cardinal Infinities by Edwin Shade (October 24, 2017)

A Mengol by Edwin Shade (October 25, 2017)

'''[http://googology.wikia.com/wiki/User_blog:I_am_a_McCree_God/I_think_I_have_found_how_many_arrows_Graham%27s_Number_has. I think I have found how many arrows Graham's Number has. by I am a McCree God (October 27, 2017)]'''

'''[http://googology.wikia.com/wiki/User_blog:Edwin_Shade/Just_How_Many_Combinations_Are_There_In_A_Rubik%27s_Cube_%3F Just How Many Combinations Are There In A Rubik's Cube ? by Edwin Shade (October 27, 2017)]'''

Turing-incomplete by KurohaKafka (October 27, 2017)

'''[http://googology.wikia.com/wiki/User_blog:Alemagno12/How_strong_is_this_function%3F How strong is this function? by Alemagno12 (October 28, 2017)]'''

Naming numbers after Millillion by Unknown95387 (October 28, 2017)

Limit ordinals in arrays in ordinal array and Veblen functions by Rgetar (October 28, 2017)

A Small Question by Edwin Shade (October 29, 2017)

Hard-coding long binary strings by LittlePeng9 (October 29, 2017)

In The Pursuit Of Organization by Edwin Shade (October 30, 2017)

Addition Game Post (Prologue to String Transforms) Finally Complete by AJZajac (October 30, 2017)

Long hierarchies of functions (on my other blog) by LittlePeng9 (October 31, 2017)

A Proof by Edwin Shade (October 31, 2017)

November
AddSub Game by WaxPlanck (November 1, 2017)

The Challenge Of Minimum Rings by Edwin Shade (November 2, 2017)

Hyper operator notation by Cheetahrock63 (November 3, 2017)

System Tau Notes by Emlightened (November 3, 2017)

How to compare ordinals expressed in the terms of the Veblen function by Rgetar (November 3, 2017)

A Common Hyperbole by Edwin Shade (November 4, 2017)

My arrow notation, which supposed to be Γ 0 by Nayuta Ito (November 4, 2017)

I think I've calculated all possible permutations in 1,000x1,000x1,000 Rubik's cube by Unknown95387 (November 4, 2017)

I am Googologist Man (Inspired by ArtismScrub's Profile Page and Bower's "Forever Endeavor") by Edwin Shade (November 4, 2017)

FGH on ordinals by Bubby3 (November 5, 2017)

A Three-Symbol System For Representing Ordinals by Edwin Shade (November 5, 2017)

Analysis of Edwin Shade's "three-symbol" notation for ordinals by Alemagno12 (November 5, 2017)

An Equation I Found by Edwin Shade (November 6, 2017)