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Numbers 0 to Absolute Infinity! [Full HD 60fps]
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Step into the world of the study of numbers that get increasingly incomprehensible at nearly every single step of the way, also known as googology, with the ultimate number comparison from zero to infinity and beyond (and I mean that in the literal sense)!
After the better part of a year working on and off on the project, my version of the ultimate number comparison IS FINALLY HERE! And it's one of the better versions too, featuring a gradual change in tone as the video progresses and use of special software to generate visuals programmatically, and with the entirety of the video being in HD at 60fps! The aforementioned software used is manim (by @3blue1brown, used for his animated math visualizations) to create the entries and Shadertoy (by @InigoQuilez, the platform for shader art) to make special backgrounds. All in all this means this video provides a unique touch to this number comparison format that viewers familiar with the study of large numbers will certainly enjoy!
This video's creation concluded on May 27, 2024
0:00 Growth rate 4 / NO! Ordinal Level 1
2:15 Growth rate ω / NO! Ordinal Level 2
3:01 Growth rate ω+1 / NO! Ordinal Level 3
3:32 Growth rate ω² / NO! Ordinal Level 4
5:34 Growth rate ω^ω / NO! Ordinal Level 5
7:15 Growth rate ω^ω^2 / NO! Ordinal Level 6
8:34 Growth rate ω^ω^ω / NO! Ordinal Level 7
9:58 Growth rate ω^ω^ω^ω / NO! Ordinal Level 8
11:56 Growth rate ε₀ / NO! Ordinal Level 9
13:49 Growth rate ζ₀ / NO! Ordinal Level 10
15:14 Growth rate φ(ω,0) / NO! Ordinal Level 11
15:54 Growth rate ψ₀(Ω₂^ω) / NO! Ordinal Level 12
16:58 Growth rate ψ₀(Ω_ω) / NO! Ordinal Level 13
17:41 Growth rate ψ₀(ψ_I(0)) / NO! Ordinal Level 14
21:57 To infinity / NO! Ordinal Level 15
24:38 א₀ / NO! Ordinal Level 16
29:03 Uncountable infinity and beyond / NO! Ordinal Level 17
32:57 Conclusion
33:22 Outro
After the better part of a year working on and off on the project, my version of the ultimate number comparison IS FINALLY HERE! And it's one of the better versions too, featuring a gradual change in tone as the video progresses and use of special software to generate visuals programmatically, and with the entirety of the video being in HD at 60fps! The aforementioned software used is manim (by @3blue1brown, used for his animated math visualizations) to create the entries and Shadertoy (by @InigoQuilez, the platform for shader art) to make special backgrounds. All in all this means this video provides a unique touch to this number comparison format that viewers familiar with the study of large numbers will certainly enjoy!
This video's creation concluded on May 27, 2024
0:00 Growth rate 4 / NO! Ordinal Level 1
2:15 Growth rate ω / NO! Ordinal Level 2
3:01 Growth rate ω+1 / NO! Ordinal Level 3
3:32 Growth rate ω² / NO! Ordinal Level 4
5:34 Growth rate ω^ω / NO! Ordinal Level 5
7:15 Growth rate ω^ω^2 / NO! Ordinal Level 6
8:34 Growth rate ω^ω^ω / NO! Ordinal Level 7
9:58 Growth rate ω^ω^ω^ω / NO! Ordinal Level 8
11:56 Growth rate ε₀ / NO! Ordinal Level 9
13:49 Growth rate ζ₀ / NO! Ordinal Level 10
15:14 Growth rate φ(ω,0) / NO! Ordinal Level 11
15:54 Growth rate ψ₀(Ω₂^ω) / NO! Ordinal Level 12
16:58 Growth rate ψ₀(Ω_ω) / NO! Ordinal Level 13
17:41 Growth rate ψ₀(ψ_I(0)) / NO! Ordinal Level 14
21:57 To infinity / NO! Ordinal Level 15
24:38 א₀ / NO! Ordinal Level 16
29:03 Uncountable infinity and beyond / NO! Ordinal Level 17
32:57 Conclusion
33:22 Outro
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