
2
Here is a function I made called Ictation.
Start with ict(n). We will be adding subscripts later. pentate n to 2. This equates to n^n^n^n ... with n amount of n's Lastly, add all natural numbers less than or equal to the new value.
Here are the first few values:
ict(1) 1
ict(2) 10
ict(3) 2.907486850152384 Ã— 10^{25}
ict(4)
10^{1.614460945205645 Ã— 10154}
ict(5) 10^{101.3357404838712281 Ã— 102184}
ict(6) 10^{10102.069197375635296 Ã— 1036305}
Now, let's add subscripts!
No subscript defaults to a 1. ict(n) = ict_{1}(n)
We know that addition is the first hyperoperator, and multiplication is the second. So, when there is a 2 as the subscript, you multiply all of the numbers instead of adding. This pattern continues will all natural numbers.
ict_{Ï‰}(n) = ict_{n}(n)
ict_{Ï‰+1}(n) = ict_{n+1â€¦}
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Unit 1 is finally 110% complete. The very short textbook chapter on it is here:
https://drive.google.com/file/d/1hGDAiKEiBW8NTGLTxBRLxVwwmdgaXqU/view
I have been working very hard on Unit 2. I have a great deal of it done (about 1/2 complete). But, Unit 1 is the only part that is complete and edited. Don't forget to contact me at googologycourse@gmail.com if you notice any issues or any mistakes. Thanks in advance!
Nathan Richardson "Simon Weston" 17:53, November 30, 2017 (UTC)
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It looks like the textbook for Googology I: Unit 1 should be ready in less than a week. In less than a month. The Google Drive folder for Unit 1 should be completely finalized. Time to start editing! I'll post a link to a pdf version of the textbook. The google drive folder can be found here: https://drive.google.com/drive/folders/0ByPH8CN5V5jjY1hoTU9MeS1LTnc
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I have just noticed that the number of pages on the wiki is around 9,800. Last time I checked, it was above 11,000. Were that many pages really deleted?
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Since it seems hard to understand what's going on in the Googology Course, I am creating videos mimicking lessons for the course. You can find them here: https://www.youtube.com/channel/UCSAHUs38qCb1KRwRj5qK87Q
I'm adding about 1 per week. It should take a few months to do everything for Googology I.
Nathan Richardson "Simon Weston" 20:16, June 21, 2017 (UTC)
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