Re: [FRIAM] actual vs potential ∞

2020-08-03 Thread David Eric Smith
This is where folk tales are wonderful. Out of all the complex clutter of daily life among all the different people, they recognize a big question and put a marker on it by wrapping it in a small story or metaphor, which turns out to have staying power as a meme, because it resonated with what

Re: [FRIAM] actual vs potential ∞

2020-08-03 Thread uǝlƃ ↙↙↙
Yes! And playing that same note (along with cargo cults, mnemonics, and the specialness/detail-preservation of narrativity), I committed to posting that I was wrong and Jon's *epiphenomena* are appropriately named (based primarily on the oracle-sort idea (I like "oracle" better than "key") [⛧].

Re: [FRIAM] actual vs potential ∞

2020-08-03 Thread Frank Wimberly
I might modify this slightly to For any r in R, however large, there exists x in R, and epsilon > 0 in R such that 1/x > r for x < epsilon. I'm not sure that makes a difference but it may make it clearer. On Mon, Aug 3, 2020 at 11:14 AM Frank Wimberly wrote: > My opinion. 1/0 is undefined.

Re: [FRIAM] actual vs potential ∞

2020-08-03 Thread jon zingale
In 2011, my buddy Ralf offered me a summer *artist in residence* in Eugene Oregon. We attended the 10th Annual Oregon Programming Languages Summer School[⏧], where a few days were spent in a giant lecture hall full of mostly young men fiddling with Coq. One night, he and I even ran into Benjamin Pi

Re: [FRIAM] actual vs potential ∞

2020-08-03 Thread uǝlƃ ↙↙↙
To be a little clearer on my hand-wringing, here is a section where Bringsjord et al argue that belief in the Singularity is not rational: > A > (P1) There will be AI (created by HI). > (P2) If there is AI, there will be AI+ (created by AI). > (P3) If there is AI+, there will be AI++ (created by

Re: [FRIAM] actual vs potential ∞

2020-08-03 Thread Frank Wimberly
My opinion. 1/0 is undefined. Depending on the context you can define it in a way that's useful in that context. To say that lim(1/x) as x ->0 = infinity means precisely: For any r in R, however large, there exists an x in R such that 1/x > r. Frank --- Frank C. Wimberly 140 Calle Ojo Feli

[FRIAM] actual vs potential ∞

2020-08-03 Thread uǝlƃ ↙↙↙
I know I've posted this before. I don't remember it getting any traction with y'all. But it's relevant to my struggles with beliefs in potential vs actual infinity: Belief in the Sinularity is Fideistic https://link.springer.com/chapter/10.1007%2F978-3-642-32560-1_19 Not unrelated, I've of