Connecting Berry's Paradox to Gödel's Incompleteness Theorem:

https://thatsmaths.com/2020/07/30/berrys-paradox-and-gdels-incompleteness-theorem/

Connecting Berry's Paradox to Gödel's Incompleteness Theorem:

https://thatsmaths.com/2020/07/30/berrys-paradox-and-gdels-incompleteness-theorem/

Nassim Taleb recently on the pandemic, risk, fat tails, etc. (hour+ podcast), with an odd digression to geronticide toward the end:

Summary/review of the podcast here:

Gelman reflecting on bad research (...which has been known to exist ;)

https://statmodeling.stat.columbia.edu/2020/07/28/bad-research-scientism-the-importance-of-description-and-the-challenge-of-negativity/

The always-interesting Liv Boeree going meta:

Sean Carroll had physicist, poker-player, thinker, tinkerer, Boeree on his

https://www.preposterousuniverse.com/podcast/2018/07/23/episode-6-liv-boeree-on-poker-aliens-and-thinking-in-probabilities/

Just a little puzzle from insidious Matt Parker today regarding David and Anton (...in case you have no better way to while away the afternoon):

http://www.think-maths.co.uk/agepuzzle

(...despite my understanding that corporal punishment has been banned in Britain for a few decades, anyone available has my permission to spank Matt mercilessly)

Mehhh, just a few numbers on the TrumpVirus:

New Covid-19 cases in the last week: Mainland China: 172 Norway: 50 Greece: 186 Japan: 3516 France: 4377 Australia: 1831 Italy: 1394 United Kingdom: 5239 South Korea: 259 Canada: 2969 United States: 465,027

Presidential 'task force'(LOL) pr(opaganda)ess conference on tap for later today. ~5pm.

Yet another horrible week for the worldwide laughingstock that the USA and its joke leadership has become... maybe a good time to end with some ASMR... once again courtesy of a shoeshiner:

Natalie Wolchover has a new piece on Gödel’s Incompleteness Theorem at **Quanta Magazine**:

As usual Natalie does a great job. I’m too lazy right now to look it up, but my favorite explanation of Gödel is probably Raymond Smullyan’s that he gives in one or more of his volumes. Rudy Rucker also does a good job for the layperson in at least one of his volumes, and Ms. Wolchover mentions the Ernest Nagel/James Newman short older volume “**Gödel’s Proof**” as another good source.

Lastly, I’ll re-post a quote/tribute I’ve used before from Freeman Dyson in "**The Scientist As Rebel**":

Most readers here likely already know of Catriona Shearer's incredible geometry problems regularly presented on

https://twitter.com/prdoyle/status/1281905636914204682

Cleaning out some old files I stumbled across this vintage piece from sometime in my 1970s academic career (I believe at the time I adapted this from some other original source?). Am sure most of you have seen such parodies before. I do find it noteworthy that several of the issues taken quite seriously in statistics and research methodology *currently* were already being hinted at and joked about by we grad students 40+ years ago….:

**************************************

"it has long been known that…."

I haven’t bothered to look up the original references

"…of great theoretical and practical interest"

interesting to me

"the … reagent was chosen as especially suitable for the experimental procedure"

the fellow in the next lab over already had some made up

"subjects for the study were randomly chosen"

students in Psych. 101 were asked to participate as a prerequisite for passing the course

"three of the samples were selected for detailed study"

the results on the others didn’t make any sense

"accidentally strained during mounting"

dropped on the floor

"handled with extreme care throughout the experiment"

not dropped on floor

"typical results are shown…"

the best results are shown

"the data revealed a linear correlation"

we took a ruler and drew a line

"agreement with the predicted curve is:"

excellent (means fair)

good (means poor)

satisfactory (means doubtful)

fair (means imaginary)

"the values are correct at least within an order of magnitude"

the values are wrong

"statistically significant"

possibly plausible

"it is suggested that…”

I believe

"it may be that…”

I think

"It is generally believed that….”

a couple of other guys think so too

"it is clear that much additional work will be required before a complete understanding…”

I don’t understand it

"unfortunately, a quantitative theory to account for these results has not been formulated”

neither does anyone else understand it

"while it has not been possible to provide definite answers to these questions…”

the experiment didn’t work, but I figured I could at least get a publication out of it

"further work in this area is warranted…”

I intend to get a second publication out of this data

"special thanks are due to R. Stoodle for technical assistance and to J. Goober for valuable discussions”

R. Stoodle did the work and J. Goober explained what it all meant

**************************************

“[Andrew] Granville, who is writing a book on analytic number theory, complained that Maynard has greatly slowed his progress. 'I’ve had to add about 150 extra pages because of him,' Granville said.”

Erica Klarreich with another lovely profile of an outstanding mathematician, in this instance number theorist James Maynard:

https://www.quantamagazine.org/james-maynard-solves-the-hardest-easy-math-problems-20200701/

Subscribe to:
Posts (Atom)