|
- haskell - What is a monad? - Stack Overflow
Here the monad-pattern is used to avoid repetitive code This is similar to how some other languages use macros to simplify syntax, although macros achieve the same goal in a very different way Note that it is the combination of the monad pattern and the monad-friendly syntax in Haskell which result in the cleaner code
- What is it that Leibniz calls a “Monad”?
Also, every monad has a dedicated corpus, a body which is itself assembled from parts, which themselves have their dedicated monads, lower in the hierarchy Only the monas monadum exists without one All in all, this is a very difficult topic I hope I was of any help, and did not add to your confusion
- Why monads? How does it resolve side-effects? - Stack Overflow
The IO monad gives deterministic computation with side effects, while the list monad gives non-deterministic (but not random!) backtracking search, somewhat similar to Prolog's modus operandi
- Why does Leibniz require monads to act in concert?
Leibniz monad has 4 types: bare, perceptible, soul, rational A living person in his monadology metaphysics is composed of infinite number of bare and perceptible monads just same as any hard cold matter or plants, but also endowed with a rational monad and a dominant soul monad What's identify human from beasts is we have a rational monad But since soul monad is dominant, this theory has
- Elements of the Monoid in the category of endofunctors
All told, a monad in X is just a monoid in the category of endofunctors of X, with product × replaced by composition of endofunctors and unit set by the identity endofunctor
- What is a monad in a $2$-category? - Mathematics Stack Exchange
Concrete examples: Monoidal monads are monads in the $2$-category of monoidal categories In the $2$-category of rings and bimodules a monad is an algebra over a ring See also other examples in the nlab artice You can also look at other concrete examples of $2$-categories and see what happens
- Examples of Monads and their Algebras - Mathematics Stack Exchange
I'd like to get some examples of monads; specifically, I'd love a big list of different monads and a description of what their algebras are Alternatively, online resources and especially exercices
|
|
|