217 karma · joined June 3, 2015
To be honest, I'm shocked that you're willing to make these sorts of comments with your name attached to your account. You don't think this would make your employer uncomfortable?
Monads are a mathematical concept, like a ring. "Maybe" is a monad in whatever language you use it in, just like integers are a ring in whatever language you use them in. Pointing out that complex numbers, rational numbers, nxn matrices are all examples of rings and wrapping everything up into a type class doesn't add to the complexity of the language.
Of course, some people in this thread are probably ready to laud Hitler's economic acumen, while ignoring his economic gains were due to public spending building a war machine and taking Jewish people's stuff.
Ok I'm out, you do you man.
I think you're misrepresenting the category theorists, they're usually the ones arguing for choosing whatever foundation is convenient for a given domain. A lot of the time, this is a type theoretic foundation because a lot of modern mathematics is about pretending you have function types when you don't actually have function types in your category (such as differential geometry) or that all you care about is a "core" set of operations and the rest of the framework you're working in simply gets in the way (such as Hilbert spaces vs. compact closed dagger categories in categorical quantum mechanics). And if you know already knew dependent type theory then synthetic homotopy theory is easier than classical homotopy theory, some proofs in homotopy theory can take several lectures to present and even then it will still be pretty hard to see why they hold.
It's just weird to see people thing the category theorists are the one being impractical compared to the set theorists like Friedman. I can't think of a categorical logician who doesn't have an active line of research outside of logic; usually in topology, computability, quantum mechanics, or algebraic geometry. They're not just logicians but active researchers in computer science, physics and mathematics, logic is a powerful tool and should be applied in these fields.
>Just five days in, the MacBook Pro models had already hit almost 80% of combined 2015 and 2016 MacBook sales – and look set to exceed 18 months of sales in the first week.
So Apple is having incredible sales numbers for Apple, not compared to some smaller manufacturers.