hyperthesis
Sounds like Tao's third stage, of informed intuition.
Mathematical Potential Has a Limit, but It's Likely Higher Than You Think
Any comments on the "10x programmer"?
I feel I already know what's needed - but I didn't catch the 0.a=0 omission at first, and there's surely others I'm still missing... Part of the problem is I have too much implicit knowledge.
The algebra is my main interest, that happens to be in a calculus text.
0a = 0 is proven later in ch 1, it's just the ordering.
By "something I could code", I mean implementimg these properties (more like writing a proof assistant).
Ask HN: Axiomatic algebra, like ch 1 Spivak's Calculus?
If mathematics comprises algebra and analysis, it's curious that Spivak's Calculus begins with an axiomatization of algebra.It's not complete - addition and multiplication are not defined, nor even "number". Instead, it's properties of commutativity, associativity, distributivity, identities and inverses, and it's astonishing how far that takes us.I really enjoyed this approach, but it has...
It's not that frail people need to be inactive, but that inactivity causes frailty.
Also "working memory" is short-term storage, like registers, the details of what you're thinking about right now. Not memory of past events, like your wedding day.
OTOH... we now have sci-hub.se with high-quality professional scientist papers.
Too easy -> easily copied -> and no long-term competitive advantgage. Complexity signals hard.
But now we want other things. e.g. car=transport, then: speed, efficiency, style, non-polluting, safety, price, a/c, touchscreens, self-driving etc.
The boundless complexity of human desire.
In a complex, highly multi-dimensional space, yes, there's always a hill to incrementally climb. There are other hills.
Incrementalism gets you necessary data; but not necessarily insight.
> For every 1-MET (3.5 mL/kg/min) higher level of CRF, we identified substantial reductions in the risk of all-cause, CVD and cancer mortality. We also identified significant reductions in the risk of incident hypertension, heart failure, stroke, atrial fibrillation and type 2 diabetes per higher MET.
> For most, a 1-MET higher level of CRF is attainable through a regular aerobic exercise programme. For example, in a large population-based observational study of over 90 000 participants, nearly 30% were able to increase their CRF by 1-MET (median follow-up was 6.3 years) without intervention.
Cosmetic physics can eat up more, but as a gameplay mechanic, user interaction with realistic physics are too unpredictable (beyond a gimmick). Of course, we could then get actual computer sports.
But we can't think outside our frameworks with this conformity engaged. Hence, the need for solitude.
I think the greater problem of a "person on business from Porlock" (https://wikipedia.org/wiki/Person_on_business_from_Porlock) was not the interruption itself, but that it engaged Coleridge automatic conformity... and so, without moorings, his imagined unreality drifted away like a dream on waking.
I must add that this is a higher human intellectual need - but we are also gregarious by deep mammalian nature, and if isolated, will invent and converse with imaged persons.