This really benefits from a picture. Calling something “a nonstandard number” doesn’t really convey anything about them and a better name I’ll use is “infinitely big”, because they are.

< makes sense because the 2 chains are finite numbers and infinitely big numbers and an infinitely big number is bigger than any finite one because it’s , well, infinite. I can elaborate more technically, but I think trying to develop some numeracy for infinite numbers is a lot like learning about negatives and rationals and complex numbers. Just play with some expressions and get used to them. then look at the more technical treatment even if you have the ability to read it. Someone gave that example with a flat list but I think and feel that tapping into one’s existing NUMBER (and not list) sense is very powerful since it’s the first math we learn and the only one people use every single day.

"This" is the broken duality phenomenon?

Through stone duality. What about them in particular?

thanks, i think. how'd you find the content?

I think there’s an implicit element of scale or one offness. For buying milk you have multiple samples as to good price. Even if any is contrived, the bulk still capture something real 

reminded me of https://en.wikipedia.org/wiki/Winner%27s_curse

lol laffy taffy is too real banana sucks

Train skill of noticing tension and focus on it. Tends to dissolve. No that's not so satisfying but it works. Standing desk can help but it's just not that comfortable for most.

that the functional analysis is mildly helpful for understanding the problem, but the focus of the field doesn't seem to be on anything helpful. VC dimension is the usual thing to poke fun at, but a lot of the work on regularization is also meh

Dissection tonight at Merritt College in Oakland, building S202. 5:30-9, you can pay by paypal. 

UCSF willed body program, on contract to Merritt College.