Den tor. 21. jan. 2021 kl. 05.06 skrev Stuart Hungerford <
[email protected]>:

> On Thursday, 21 January 2021 at 10:22:45 UTC+11 Jens Axel Søgaard wrote:
>


> > Back to your project - what is the goal of the project?
> > Making something like GAP perhaps?
> > Do you want your users to supply types - or do you want to go a more
> dynamic route?
>
> My project is really aimed at supporting self-directed learning of
> concepts from abstract algebra.
>
I was taught many years ago that to really understand something to try
> implementing it in a high level language.
>
That will soon expose any hidden assumptions or misunderstandings.
>

That's a very interesting project. You are so to speak optimizing for
readability.
I immediately get a vision of a SICM-like book, but for algebra instead of
classical mechanics.

Racket will be a good choice, since macros give you the possibility
of experimenting with suitable, easily understood syntax.

A tricky choice is to be made: how are the concepts going to be represented
as Racket values. Normal structs does not allow multiple inheritance.

Looking at a diagram such as the one below, raises the question whether the
relationship between the various concepts are to be modelled explicitly or
implicitly.

[image: image.png]

Maybe some kind of interface for each concept is needed?

/Jens Axel

Link to SICM in case you haven't seen it already.

https://mitpress.mit.edu/books/structure-and-interpretation-classical-mechanics

Note that the authors of SICM wrote a CAS in Scheme that is used in the
book.

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