Saw field rebrand as "Behavioral Economics" after *psychologist* Kahneman won 2001 Nobel
Now am back to just an experimenter, post-Repligate
Measuring Flow Experience in Human-AI collabs -> MTV8NG.site
BECAUSE of Amos’s work with DK & Paul Slovic
I had my world rocked when I read “Judgment under Uncertainty” on a cross country roadtrip before my senior year @NorthwesternU
Too late to switch from philosophy, I realized that *psycho*logic beats “logic” as a key to the world
BECAUSE of Amos’s work with DK & Paul Slovic
I had my world rocked when I read “Judgment under Uncertainty” on a cross country roadtrip before my senior year @NorthwesternU
Too late to switch from philosophy, I realized that *psycho*logic beats “logic” as a key to the world
In his penultimate 3 mos, his already perfected life continued, as he worked & taught
@Stanford
undergrads his classic “Judgment & Decisionmaking”
In his penultimate 3 mos, his already perfected life continued, as he worked & taught
@Stanford
undergrads his classic “Judgment & Decisionmaking”
@SJDMOfficial
conference, I asked Kahneman if his partner, Amos, was the Slow Thinker (ie, logical/math)
Danny said, if he was, Amos was the fastest slow thinker he’d ever known
@SJDMOfficial
conference, I asked Kahneman if his partner, Amos, was the Slow Thinker (ie, logical/math)
Danny said, if he was, Amos was the fastest slow thinker he’d ever known
Kahneman became world famous after 2002 Nobel
Danny did everything he could to honor Amos’ memory in collaborating on Prospect Theory
Still, outside our field, Amos is incognito (as he must’ve wished)
Kahneman became world famous after 2002 Nobel
Danny did everything he could to honor Amos’ memory in collaborating on Prospect Theory
Still, outside our field, Amos is incognito (as he must’ve wished)
Your coverage here (at a time of serious cable incidents) makes me visit bluesky much more
Thanks!
Your coverage here (at a time of serious cable incidents) makes me visit bluesky much more
Thanks!
Thought experiment
Convert all 10^80 to be maximally efficient physical computers
Compute at thermodynamic max per Planck time (smallest time interval, ~5.39 x 10^-44 secs)
-> 10^124 computations
That'd be all the math that fits
kaput, or should I say
Ω
Thought experiment
Convert all 10^80 to be maximally efficient physical computers
Compute at thermodynamic max per Planck time (smallest time interval, ~5.39 x 10^-44 secs)
-> 10^124 computations
That'd be all the math that fits
kaput, or should I say
Ω
Assembly Theory defines the improbability of assembling an actual computer - the odds against it are Boltzmaniac big!
Algorithmic IT's Ω bounds how many steps, computing with God's absolutely dense code, are required to go from axioms to theorems
Assembly Theory defines the improbability of assembling an actual computer - the odds against it are Boltzmaniac big!
Algorithmic IT's Ω bounds how many steps, computing with God's absolutely dense code, are required to go from axioms to theorems
Do we need more mathematical objects than we could ever possibly compute?
Do we need more mathematical objects than we could ever possibly compute?
Algorithmic Info Theory would provide a measure of how many computational steps, in the ideal, would be required to go from an axiom to a theorem
Algorithmic Info Theory would provide a measure of how many computational steps, in the ideal, would be required to go from an axiom to a theorem
It's demonstrably possible in our physical world to run computations, but we don't know what's the minimum amount of work/energy/space to compute 1 bit
It's demonstrably possible in our physical world to run computations, but we don't know what's the minimum amount of work/energy/space to compute 1 bit
Being capable of computing one bit requires a physical object, and all maths is downstream of this improbable assembler
Being capable of computing one bit requires a physical object, and all maths is downstream of this improbable assembler
Assembly Theory by @saraimari.bsky.social + colleagues
AT starts with the realization that things must be assembled. It's crazy improbable to assemble even the simplest molecule
What IF there's a physical realization of a Turing machine that is provably bounded as the minimal computer?
Assembly Theory by @saraimari.bsky.social + colleagues
AT starts with the realization that things must be assembled. It's crazy improbable to assemble even the simplest molecule
What IF there's a physical realization of a Turing machine that is provably bounded as the minimal computer?
He defines the Omega function as an infinitely dense, non-computable object that includes within its expansion the code to construct every bit of info
This coding scheme is like God's version of Python
He defines the Omega function as an infinitely dense, non-computable object that includes within its expansion the code to construct every bit of info
This coding scheme is like God's version of Python
“You don’t have to believe in God, but you should believe in The Book”
www.quantamagazine.org/gunter-ziegl...
“You don’t have to believe in God, but you should believe in The Book”
www.quantamagazine.org/gunter-ziegl...
Kolmogorov showed that one measure of the info content of a string is the minimal program required to generate that string
Cue Erdos's faith in the Book: God writes down all the most beautiful proofs
The beautiful may be the minimal number of steps to prove a result
Kolmogorov showed that one measure of the info content of a string is the minimal program required to generate that string
Cue Erdos's faith in the Book: God writes down all the most beautiful proofs
The beautiful may be the minimal number of steps to prove a result
The minimum entropy per computed bit would again show how much info could be packed into our U
The minimum entropy per computed bit would again show how much info could be packed into our U
Nothing's denser than BHs, so the Bekenstein Bound defines how much info can be packed into a given space
Nothing's denser than BHs, so the Bekenstein Bound defines how much info can be packed into a given space
A couple of physical constraints on how much info we can squeeze into the physical universe
Bekenstein Bound
&
Landauer's Principle
A couple of physical constraints on how much info we can squeeze into the physical universe
Bekenstein Bound
&
Landauer's Principle
Wolfram defines "computational irreducibility" for CAs (like the game of life) as meaning that we have no look-ahead for how the Nth step will operate, w/o first going through all the prior steps to compute that.
Seems relevant to mathematical inference, since we can't get to a theorem w/o work
Wolfram defines "computational irreducibility" for CAs (like the game of life) as meaning that we have no look-ahead for how the Nth step will operate, w/o first going through all the prior steps to compute that.
Seems relevant to mathematical inference, since we can't get to a theorem w/o work
Leigh Caldwell used pricing chocolate teapots as his running example throughout his (terrific) The Psychology of Price
www.amazon.com/Psychology-P...
Leigh Caldwell used pricing chocolate teapots as his running example throughout his (terrific) The Psychology of Price
www.amazon.com/Psychology-P...