My website: alok.blog.
Alok Singh
This is inspired by the old ‘trade _ for money’ posts.
I think the Anova Oven should be the default rationalist oven. It is $500, but on this community isn’t usually hurting for cash.
That $500 gets you something so beyond a normal oven it’s basically a different tool. It’s better thought of as a largish box whose temperature you control. To see this, make scrambled eggs in it. They have a recipe in their app.
It can reliably control temperature all the way down to 77 F (25 C), making it capable of cooking almost any kind of meal. It’s programmable, so longer recipes are simple to set up.
Reheating food (and making a lot) becomes trivial, and unlike a microwave there’s no problems with ice staying frozen. Reheating to 150F makes almost all leftovers taste fresh.
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
Example of hyperfinite quantity: number of sides of a circle
I still wonder about the parity prediction these days. I feel like there’s something there
reading https://ncatlab.org/nlab/show/formal+disk convinced me that there’s something to my feeling that nonstandard analysis is similar to algebraic geometry.
formal disk ~ infinitesimal neighborhood/halo of a point ~ formal spectrum of power series, which extends prime spectra, one of the main concepts of algebraic geometry. maybe i can skip the category theory and just write out some polynomials
UCSF willed body program, on contract to Merritt College.
reading https://ncatlab.org/nlab/show/formal+disk convinced me that there’s something to my feeling that nonstandard analysis is similar to algebraic geometry.
formal disk ~ infinitesimal neighborhood/halo of a point ~ formal spectrum of power series, which extends prime spectra, one of the main concepts of algebraic geometry. any help here appreciated
Was being deliberately inaccurate here. Hard does mean more than a limited multiplier. Sudden means that there’s an appreciable change over an infinitesimal variation aka discontinuous.
Lookup overflow, underflow, and “principle of permanence” in Goldblatt for why I’d do that. Also called overspill and underspill. The basic idea is “as above, so below” except this link is 2 way. Say some internal function has all infinitesimals in its range. Then it must have non infinitesimals too, since the set of all infinitesimals is known to be external, and images of internal functions over internal sets are internal. This is an example of overspill. Infinitesimal behavior has spilled over into the appreciable domain.
Look up “Sylvia wenmackers numerosity”
models let us conduct words, and soonish pictures
chatgpt is very micromanageable too
Thanks =). Any way to access fresh cadavers? I doubt I’ll be allowed to do surgery anytime soon.
reminded me of https://en.wikipedia.org/wiki/Winner%27s_curse
lol laffy taffy is too real banana sucks
Except that you can have a thread just for conversations. It subsumes the chat model.
lawyer ~ social programmer
precedent ~ import ‘precedent’
judge ~ debugger
jury ~ the actual, buggy thing that runs in the very end
jargon ~ lang syntax
iLate reply, but the slicker bit is going in more fully. The appeal of the NSA approach here is axiomatizing it which helps people understand because people already know what numbers are, so ‘inf big’ is much less of a stretch than going the usual crazy inference depth math has.
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?
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.