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Finitial Existence is the name of two different numbers by two different fictional googologists.

FF2K’s version
FF2K’s version[]
Finitial Existence (symbol: 𖡽) is the final number of Season 6 of Freddie Fazbear’s Numbers 0 to The End of Numbers. It’s the ζ0 of fictional googology in FF2K’s “X of FG” scale. For more information, see Finitial Existence (FF2K's version).

NO!’s version
NO!’s version[]
Finitial Existence is a number that appears at timestamp 9:23:42 of ℕ𝐔𝐌𝑩𝐄𝑹𝚂 0 to ?̴̢͖̉͘?̴̟͉̀̿.?̷̛̝̤̽?̷̥̓̀N?̵̛̙̟̐?̷̮͒̓?̸͕͙͋͠D?̷͉̟͛͐?̴͑?̴̲͓̏̚L..#?̷̼̖̊̂?̵͍̱͛̒?̵[3] by NO!. It’s a part of Section #3 of the video’s Class IV. For more information, see Finitial Existence (NO!'s version).