Apple is the biggest company in the world by a pretty significant margin[0]. The clout they wield is absolutely insane and they could kill many things if they were so inclined. [0] --…
'Verified' ticks in general are so bizarrely mismanaged. See also Twitter removing the status of controversial political figures. I feel like they should be totally open access to anyone who can provide irrefutable…
Maybe it's different in other countries (I am in the UK), but I feel as if there isn't enough content for a recommender system to even be useful. I feel like after browsing through the catalogue a few times, I have a…
I would nominally agree with this logic, but surely the exact same applies when voting? Should people not bother voting because they are just one in a sea of many?
Buying the cheapest Casio can also be a status signal, similar to the CEO of Goldman Sachs wearing a Swatch. Buying a truly cheap watch is a signal of 'I don't care' (which may be true, or may be affected), whereas…
To ask a very amateur question, why do people think Bitcoin specifically will succeed? Aren't there dozens of coins out there which have fixed some of it's most glaring flaws?
> This shouldn't be so controversial, given that they work for us, Pretty suspect line of reasoning when you apply it to literally any other scenario.
They didn't set out to explicitly prove 1+1=2, they just got around to it after 2 volumes, it didn't require 2 volumes of background. A direct proof of 1+1=2 is pretty short in most logical systems.
Great talk. The definition of observational equivalence is very elegant. I instantly thought it made no sense or must be a partial definition, then the simple example given on the next slide explained it perfectly.
For many roles at a hedge fund, being able to do mathematics quickly and intuitively is a valuable skill. Not sure why an economist applying for an MD job would need to be tested on that, though.
It seems to me like Lean has a lot of the momentum at the moment. It's clear that other projects like Coq suffer from a lack of traditional mathematicians formalising modern, fashionable topics. Kevin Buzzard's…
The author of the Metamath Zero paper is actually one of the most active contributors to the project described in the article[0]. [0]: https://leanprover-community.github.io/mathlib_stats.html
Increased assurance that the proof is correct and the various standard benefits of digital over analogue data. This software automatically checks the validity of the proof (with a very small, manually verified core of…
Totality is optional in Idris. Also, the big dependently-typed languages like Coq, Agda, Idris all support corecursion, so they can run programs infinitely provided the program does something productive.
I'm not sure what Turing completeness has to do with such a problem. There's a theoretical non-Turing complete subset of HTML+JS that has all the problems you claim, meanwhile Markdown with a built-in lambda calculus…
I'd say there is quite an important conceptual difference in that the state monad example exactly desugars to pure functional code. Monads give us a good syntax for sequential computation, but this sequentiality is…
I've seen TAoCP (The Art of Computer Programming) and TaPL (Types and Programming Languages) used before, and both are definitely great.
I was just responding to the parent comment's claim that Haskell's sum types are not true sum types.
I find it strange that the Facebook employee wouldn't just forcibly change OP's username to something else (e.g. @danny123) then give the desired name to their friend. Actually stealing someone's account seems like an…
Haskell's Either is a 'true' sum type, it corresponds exactly to the way sums have been defined in the literature for decades, and also is the Curry-Howard representation of logical or. It necessarily must be inside a…
The problem is also that in order to generically define functors, one needs higher-kinded types. The Haskell/Scala code on the Wikipedia page is not translatable to say, Java.
Doesn't that put off a lot of very high-quality candidates though? If someone joins because they want to work in an interesting machine learning team, they probably don't want to be potentially moved on to a legacy Java…
That model Macbook is 4-8 years old. This is a pretty useless and condescending comment.
He's still relatively young, and likely realises the near absolute power he holds over one of the largest companies in the world is not something he can get back once he gives it up. Also Gates, to put it in very…
I noticed that in the screenshots section[1], the Linux screenshots for the Netsurf site and Wikipedia are from this year, but the BBC one is from 2011. How does the current BBC site fare? [1] --…
Apple is the biggest company in the world by a pretty significant margin[0]. The clout they wield is absolutely insane and they could kill many things if they were so inclined. [0] --…
'Verified' ticks in general are so bizarrely mismanaged. See also Twitter removing the status of controversial political figures. I feel like they should be totally open access to anyone who can provide irrefutable…
Maybe it's different in other countries (I am in the UK), but I feel as if there isn't enough content for a recommender system to even be useful. I feel like after browsing through the catalogue a few times, I have a…
I would nominally agree with this logic, but surely the exact same applies when voting? Should people not bother voting because they are just one in a sea of many?
Buying the cheapest Casio can also be a status signal, similar to the CEO of Goldman Sachs wearing a Swatch. Buying a truly cheap watch is a signal of 'I don't care' (which may be true, or may be affected), whereas…
To ask a very amateur question, why do people think Bitcoin specifically will succeed? Aren't there dozens of coins out there which have fixed some of it's most glaring flaws?
> This shouldn't be so controversial, given that they work for us, Pretty suspect line of reasoning when you apply it to literally any other scenario.
They didn't set out to explicitly prove 1+1=2, they just got around to it after 2 volumes, it didn't require 2 volumes of background. A direct proof of 1+1=2 is pretty short in most logical systems.
Great talk. The definition of observational equivalence is very elegant. I instantly thought it made no sense or must be a partial definition, then the simple example given on the next slide explained it perfectly.
For many roles at a hedge fund, being able to do mathematics quickly and intuitively is a valuable skill. Not sure why an economist applying for an MD job would need to be tested on that, though.
It seems to me like Lean has a lot of the momentum at the moment. It's clear that other projects like Coq suffer from a lack of traditional mathematicians formalising modern, fashionable topics. Kevin Buzzard's…
The author of the Metamath Zero paper is actually one of the most active contributors to the project described in the article[0]. [0]: https://leanprover-community.github.io/mathlib_stats.html
Increased assurance that the proof is correct and the various standard benefits of digital over analogue data. This software automatically checks the validity of the proof (with a very small, manually verified core of…
Totality is optional in Idris. Also, the big dependently-typed languages like Coq, Agda, Idris all support corecursion, so they can run programs infinitely provided the program does something productive.
I'm not sure what Turing completeness has to do with such a problem. There's a theoretical non-Turing complete subset of HTML+JS that has all the problems you claim, meanwhile Markdown with a built-in lambda calculus…
I'd say there is quite an important conceptual difference in that the state monad example exactly desugars to pure functional code. Monads give us a good syntax for sequential computation, but this sequentiality is…
I've seen TAoCP (The Art of Computer Programming) and TaPL (Types and Programming Languages) used before, and both are definitely great.
I was just responding to the parent comment's claim that Haskell's sum types are not true sum types.
I find it strange that the Facebook employee wouldn't just forcibly change OP's username to something else (e.g. @danny123) then give the desired name to their friend. Actually stealing someone's account seems like an…
Haskell's Either is a 'true' sum type, it corresponds exactly to the way sums have been defined in the literature for decades, and also is the Curry-Howard representation of logical or. It necessarily must be inside a…
The problem is also that in order to generically define functors, one needs higher-kinded types. The Haskell/Scala code on the Wikipedia page is not translatable to say, Java.
Doesn't that put off a lot of very high-quality candidates though? If someone joins because they want to work in an interesting machine learning team, they probably don't want to be potentially moved on to a legacy Java…
That model Macbook is 4-8 years old. This is a pretty useless and condescending comment.
He's still relatively young, and likely realises the near absolute power he holds over one of the largest companies in the world is not something he can get back once he gives it up. Also Gates, to put it in very…
I noticed that in the screenshots section[1], the Linux screenshots for the Netsurf site and Wikipedia are from this year, but the BBC one is from 2011. How does the current BBC site fare? [1] --…