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Comment by kfixjviv | Hacker News Reader

Each Raspberry Pi could perform a function that was notionally passed to the monadic bind operator, but really a monad is the rules under which the Raspberry Pis would be connected.

From Wadler's paper "The Essence of Functional Programming":

"2.1 What is a monad?

For our purposes, a monad is a triple (M,unitM,bindM) consisting of a type constructor M and a pair of polymorphic functions.

unitM :: a-> M a

bindM :: M a-> (a-> M b)-> M b

These functions must satisfy three laws, which are discussed in Section 2.10."

So the monad is a functor plus a few operations and laws. It is an algebraic structure, not a type of object or function.

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By the way, "throwing the rigid definition away" would be completely missing the point. The rigid definition is the essence of monads.

People who think they hate maths will always try to get rid of the maths and tell themselves that that makes the maths way better.

It's important to me because if the pattern was actually useful then we should be able to use it anywhere and talk about it. It seems obvious that the pipe "workflow" pattern as they call it isn't the end-all for program composition - so how can we fix and expand it? It seems fixable.

Another context question: How would you define a monad in Microsoft Excel? For context, that is my favorite programming language. It seems perfectly capable at doing strong monad composition better than a Linux shell.

I just want monads be real and tangible! Examples in reality instead of Math.

You are going to be disappointed.

What on earth makes you convinced that a monad can be implemented in Excel? You don't understand what a monad is, so you can't know whether Excel is "perfectly capable" of it or not.

Read a bunch of monad tutorials, learn Haskell, hey, even develop some "mathematical maturity" if you can get over your disdain for math. That is the way to make progress.

It's not helpful to want monads to be tangible objects. It doesn't matter how much you want it. The world doesn't work like that.

My conviction goes like this:

1. Excel doesn't use rigid types so we can throw away all the rigid math stuff (this is where our perspectives diverge into non-sense)

2. Each Cell is a Monad

3. Each monad can be composed and reflect eachother better than any other programming language (more than Pipes like my original 1 | 2 | 3 example)

"Each cell is a monad" makes as much sense as "41 is a commutativity".

What I mean is, they can easily be used as monads - and in fact every Excel user might do so without even knowing what a monad is. Like 41 is used in commutative expressions all the time by people who don't even know what communitivity or associativity mathematically is and that is a good thing! It means its useful and intuitive!

That's why I wish we could throw out the Math, if we can't even use Monads without mathematically knowing they are Monads then no one is ever going to be using them. There must be a way that these patterns can become so intuitive, like Pipes (weak) and Excel (strong) that they speak for themselves and become tangible.

> if we can't even use Monads without mathematically knowing they are Monads then no one is ever going to be using them.

You don't need to know what a monad is to use one. Everyone who has ever written a computer program has used one. Knowing that you're using a monad, and what that means about your program structure, is the entire value proposition here - actually applying particular monad operations is utterly trivial. "Monad" belongs in the same category as "data structure", not "tree".

"Everyone who has ever written a computer program has used one."

Absolutely false.

> What on earth makes you convinced that a monad can be implemented in Excel

True monads can't even be implemented in Haskell. But if we're being practical, you can totally implement monad-like things in Excel. It's almost impossible not to implement monad-like things when building anything non-trivial.

I don't think making this claim is helpful. Monads aren't found everywhere in code. Solving a problem which could be solved by monads doesn't automatically lead to code that works in a monad-like way, not in any meaningful sense.

> Monads aren't found everywhere in code.

I completely disagree... The distinction is simply that they're usually ad-hoc and not formalized, mainly because the author didn't know what they were writing and was reinventing the wheel.

> It is an algebraic structure, not a type of object or function.

Also therefore it is not that "monads can be composed with monads". Only Functions can, bhe composed. Especially functions which are the unitM() or bindM of some monad.

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