[Haskell-cafe] Re: monads and groups -- instead of loops

2007-08-02 Thread Greg Meredith
Arie, Thanks for your thoughtful reply. Comments in-lined. Best wishes, --greg Date: Thu, 2 Aug 2007 03:06:51 +0200 (CEST) From: Arie Peterson [EMAIL PROTECTED] Subject: Re: [Haskell-cafe] Re: monads and groups -- instead of loops To: haskell-cafe@haskell.org Message-ID: [EMAIL PROTECTED

Re: [Haskell-cafe] Re: monads and groups -- instead of loops

2007-08-02 Thread Wouter Swierstra
On 1 Aug 2007, at 21:23, Greg Meredith wrote: But, along these lines i have been wondering for a while... the monad laws present an alternative categorification of monoid. At least it's alternative to monoidoid. In the spirit of this thought, does anyone know of an expansion of the monad

[Haskell-cafe] Re: monads and groups -- instead of loops

2007-08-01 Thread Greg Meredith
Haskellians, But, along these lines i have been wondering for a while... the monad laws present an alternative categorification of monoid. At least it's alternative to monoidoid. In the spirit of this thought, does anyone know of an expansion of the monad axioms to include an inverse action?

Re: [Haskell-cafe] Re: monads and groups -- instead of loops

2007-08-01 Thread Arie Peterson
Math alert: mild category theory. Greg Meredith wrote: But, along these lines i have been wondering for a while... the monad laws present an alternative categorification of monoid. At least it's alternative to monoidoid. I wouldn't call monads categorifications of monoids, strictly speaking.