User blog comment:B1mb0w/Finite: a tour of the finite numbers/@comment-25337554-20160619102750/@comment-10262436-20160627001250

Hi Nayuto Ito

I assume it was you who left the very first and very detailed comments. Thanks a lot for doing this.

Here are my quick responses:

C- I had expected lectures for TREE(3), Rayo's number, and BIG FOOT.here's my comments:- 0:05 wow it has an hour! 0:10 nice op 0:30 its really boring 1:00 how long does this op continues 1:20 are you going to count up to 100 2:00 r u serious 4:00 got a bit faster...?

R-The video is a 'tour' and not a 'lecture'. Imagine you are in a tour bus. The instructor will speak every so often, but for the next hour you will left alone to your thoughts.

C-4:30 great video! 6:00 wow it's growing exponentially 7:00 am i taking googology or history class 10:00 this video is the best one ive ever seen 15:18 yay googology started 18:00 r u doing the same thing as the first 4 minutes 20:00 you counted by 2 in 4:30<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;">... you don't skip this time? 22:00<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> im looking at same thing as 6:00<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> with "10^" in the left 23:16<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> you gave up counting lol 26:00<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> now i understand you're counting much slower

R-The video tries to give equal attention and importance to all finite numbers. This is obviously impossible, but I do slow down the refreshing every so often, so that the viewer does not forget about the enourmous range of numbers between each displayed number.

C-28:20<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> fgh roflmao 29:00<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> this is the first time i've seen counting with fgh 32:00<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> yay omega true googology started 33:40<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> first 4 minutes again but with omega this time 39:00<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> ok now i understand how to count to 64 41:20<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> started counting ordinals lol 42:30<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> doing same as my old faketest

R-I will add more text in this section and one or two more examples of how big these numbers are. I use FGH to simplify the ascending display of bigger numbers, but I am trying to be careful to only present 'Finite' numbers.

C-46:58<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> "e_1 is equal to e_0^e_0^e_0" <- only in base 3. actually e_1 is (e_0)^^w.

R-I will fix this. Thanks for pick-up.

C-47:54<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> blue letters with no description... did you mistake? 49:14<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> yay black comes back 51:30<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> same as my faketest lol 53:45<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> o wut 54:25<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> wtf uncomputable 55:38<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> this is a tour of "finite" numbers 56:30<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> i thought you got back to one 57:53<span style="font-weight:normal;color:rgb(0,0,0);font-family:Roboto,arial,sans-serif;line-height:16.9px;white-space:pre-wrap;"> 2016(in blue letters) Gregorian year this video was posted.

R-I will add more text and examples in this section as well. BTW, some 'uncomputable' numbers are still 'finite'. This is not really explained in the video, but it is another mind-boggling aspect of the whole subject.

The video currently finishes with omega. I will add a further comment to explain, "w is larger than any finite number", before, the last sentence "w is the smallest of the infinite numbers". This sets the scene for a sequel video:  "a tour of the infinite numbers", but,  I have no plans to start a sequel.

Thanks for watching.