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I've learned Monoid in Haskell, not maths. It's just so simple and easy that there's really no dumbing down necessary. Monad is simple and hard, but Monoid is

by Peaker 13y ago

I've learned Monoid in Haskell, not maths. It's just so simple and easy that there's really no dumbing down necessary. Monad is simple and hard, but Monoid is simple and easy.

thinkpad20 13y ago
With respect to monoid, you're right. It's really quite simple when you get down to it. I don't have any arguments there. In fact, the fact that monoids are really so simple is kind of my point. In almost any other language, were such a thing to exist, monoids would not be called monoids but by some descriptive term which conveyed an intuitive sense of their meaning and use; it would be the purview of the mathematically inclined to write articles explaining how "actually, what we call the Joinable type class is known in abstract algebra as a Monoid, and its use extends beyond just joining things; for example..." My point isn't really specifically about monoids; they're just an example of what often goes on in Haskell, which is that people put theory before practicality and mathematical (and hence often esoteric) definitions before practical, real-world definitions. Like I've said a few times, this isn't incorrect at all. Nor is it surprising given Haskell's origins, nor is it without purpose since it deepens your understanding of what's going on in the language. It's just a simple fact that the mathematical jargon is a turn-off to newcomers and those who don't feel they want to be forced to learn math while they're programming, or might think they're incapable of doing so. As it turns out, I'm not one of those people; I love the mathematical side of Haskell and I love that I've learned what a Monoid is and developed an interest in type theory, category theory and all kinds of other things. But not everyone is like that, and that's the point I'm making.
- asdasf 13y ago
  >In almost any other language, were such a thing to exist, monoids would not be called monoids but by some descriptive term which conveyed an intuitive sense of their meaning and use There is no such term, that is the point. Offering up misleading terms that do not convey a sense of their meaning is much worse than a word that is unfamiliar. >My point isn't really specifically about monoids; they're just an example of what often goes on in Haskell, which is that people put theory before practicality and mathematical (and hence often esoteric) definitions before practical, real-world definitions. But it isn't an example of that. It is quite bizarre to see people insist that this goes on, and give examples that do not support that claim, while being fully convinced in their proof. >As it turns out, I'm not one of those people; I love the mathematical side of Haskell and I love that I've learned what a Monoid is and developed an interest in type theory, category theory and all kinds of other things. But not everyone is like that, and that's the point I'm making. You don't need to be like that, that is the point we're making. I am not a math person. I am not a CS person. I am a high school drop out who taught himself to code in PHP and C. I learned haskell just fine. I learned monoids and functors and monads just fine. I am no more mathematically inclined now than I was before. I know nothing of category theory, and care nothing of it. They are very general abstractions that do not reflect a narrow, specific use case, and thus do not benefit from a word that describes some narrow, specific use case.
- jejones3141 13y ago
  Well, yeah, but... the term "monoid" already exists, and has a definite meaning. A different name might give people an intuition for it--but it will be a wrong one that they'll have to unlearn later, like the infamous burrito (not that you or anyone has suggested that monads be renamed burritos, I am happy to say!).
- Peaker 13y ago
  We must have different ideas about what "practicality" is.

by Peaker 13y ago

I've learned Monoid in Haskell, not maths. It's just so simple and easy that there's really no dumbing down necessary. Monad is simple and hard, but Monoid is simple and easy.

thinkpad20 13y ago

With respect to monoid, you're right. It's really quite simple when you get down to it. I don't have any arguments there. In fact, the fact that monoids are really so simple is kind of my point. In almost any other language, were such a thing to exist, monoids would not be called monoids but by some descriptive term which conveyed an intuitive sense of their meaning and use; it would be the purview of the mathematically inclined to write articles explaining how "actually, what we call the Joinable type class is known in abstract algebra as a Monoid, and its use extends beyond just joining things; for example..." My point isn't really specifically about monoids; they're just an example of what often goes on in Haskell, which is that people put theory before practicality and mathematical (and hence often esoteric) definitions before practical, real-world definitions. Like I've said a few times, this isn't incorrect at all. Nor is it surprising given Haskell's origins, nor is it without purpose since it deepens your understanding of what's going on in the language. It's just a simple fact that the mathematical jargon is a turn-off to newcomers and those who don't feel they want to be forced to learn math while they're programming, or might think they're incapable of doing so. As it turns out, I'm not one of those people; I love the mathematical side of Haskell and I love that I've learned what a Monoid is and developed an interest in type theory, category theory and all kinds of other things. But not everyone is like that, and that's the point I'm making.

asdasf 13y ago
>In almost any other language, were such a thing to exist, monoids would not be called monoids but by some descriptive term which conveyed an intuitive sense of their meaning and use There is no such term, that is the point. Offering up misleading terms that do not convey a sense of their meaning is much worse than a word that is unfamiliar. >My point isn't really specifically about monoids; they're just an example of what often goes on in Haskell, which is that people put theory before practicality and mathematical (and hence often esoteric) definitions before practical, real-world definitions. But it isn't an example of that. It is quite bizarre to see people insist that this goes on, and give examples that do not support that claim, while being fully convinced in their proof. >As it turns out, I'm not one of those people; I love the mathematical side of Haskell and I love that I've learned what a Monoid is and developed an interest in type theory, category theory and all kinds of other things. But not everyone is like that, and that's the point I'm making. You don't need to be like that, that is the point we're making. I am not a math person. I am not a CS person. I am a high school drop out who taught himself to code in PHP and C. I learned haskell just fine. I learned monoids and functors and monads just fine. I am no more mathematically inclined now than I was before. I know nothing of category theory, and care nothing of it. They are very general abstractions that do not reflect a narrow, specific use case, and thus do not benefit from a word that describes some narrow, specific use case.
jejones3141 13y ago
Well, yeah, but... the term "monoid" already exists, and has a definite meaning. A different name might give people an intuition for it--but it will be a wrong one that they'll have to unlearn later, like the infamous burrito (not that you or anyone has suggested that monads be renamed burritos, I am happy to say!).
Peaker 13y ago
We must have different ideas about what "practicality" is.