A Renaissance gambling dispute spawned probability theory
scientificamerican.com
A Renaissance gambling dispute spawned probability theory
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Re: A Renaissance gambling dispute spawned probability theory
#2> a French gambler and intellectual socialite enlisted the help
Imagine Blaise Pascal and Pierre de Fermat teaming together to solve your problem.
Re: A Renaissance gambling dispute spawned probability theory
#3[deleted]
Re: A Renaissance gambling dispute spawned probability theory
#4Luca Pacioli invented (or really, put down on paper) double-entry accounting
it is funny how probability has always been way behind other maths. i got to use the Birthday problem at work, once, which made the math undergrad totally worth it
fortunately my Polymarket and Kalshi wagers are protected by AES et al
Re: A Renaissance gambling dispute spawned probability theory
#5Just wanted to flag that the works of Ian Hacking, especially The Emergence of Probability (1975) and The Taming of Chance (1990) are excellent on this. Dense and challenging at times but also well written and the product of a very original mind.
The latter book has a Wikipedia page with some more info - was surprised to see Hacking not mentioned here since the featured article is partly based on his work: https://en.wikipedia.org/wiki/The_Taming_of_Chance
Re: A Renaissance gambling dispute spawned probability theory
#6The article links to a series of letters between Fermat, Pascal, and Carcavi which are wonderfully intelligent and readable, while also deeply kind and personal.
> 1. I have been delighted to have had the thoughts conformed to those of M. Pascal, for I admire infinitely his genius and I believe him very capable of coming to the end of all that which he will undertake. The friendship that he offers me is so dear to me and so considerable that I must have no difficulty in making some use of it in the publishing of my Treatises.
> Our blows always continue and I am as glad as you in the admiration that our thoughts are arranged so exactly that it seems that they have taken one same route and make one same path
It makes me wonder if future generations will look back on correspondences between guys like Ken Thompson and Dennis Ritchie.
https://probabilityandfinance.com/pulskamp/Pascal/Sources/pa...
Re: A Renaissance gambling dispute spawned probability theory
#7Luca Pacioli invented (or really, put down on paper) double-entry accounting it is funny how probability has always been way behind other maths. i got to use the Birthday problem at work, once, which made the math undergrad totally worth it fortunately my Polymarket and Kalshi wagers are protected by AES et al
As one lecturer put it: modern probability theory derived from two foundations - measure theory and gambling. The latter explains why it has long lacked mainstream mathematical recognition :)
But that's all in the past. Probability is absolutely established in math academia today, Fields medals and all. And despite its applied nature it's pervasive even in pure math.
Re: A Renaissance gambling dispute spawned probability theory
#8Luca Pacioli invented (or really, put down on paper) double-entry accounting it is funny how probability has always been way behind other maths. i got to use the Birthday problem at work, once, which made the math undergrad totally worth it fortunately my Polymarket and Kalshi wagers are protected by AES et al
In what way was it always behind? This work of Fermat and Pascal is ballpark contemporary to the development of calculus.
Re: A Renaissance gambling dispute spawned probability theory
#9Gambling is also (allegedly) responsible for giving us the sandwich[0] and the modern sushi roll.
[0]https://en.wikipedia.org/wiki/John_Montagu,_4th_Earl_of_Sand...
There's a coffee-table book in there somewhere.
Re: A Renaissance gambling dispute spawned probability theory
#10Luca Pacioli invented (or really, put down on paper) double-entry accounting it is funny how probability has always been way behind other maths. i got to use the Birthday problem at work, once, which made the math undergrad totally worth it fortunately my Polymarket and Kalshi wagers are protected by AES et al
In what way was it always behind? This work of Fermat and Pascal is ballpark contemporary to the development of calculus.
Right, and Cauchy is the person we have to thank for Bayes’ Theorem, and of course Euler, De Moivre, Poisson and Gauss for the Gaussian integral[1]. You can’t really get figures more central to mathematics than that.
[1] Athough Gauss apparently credited it to Laplace.