On Saturday, February 1, 2020 at 10:54:31 AM UTC-5, Benoit wrote:
>
> On Saturday, February 1, 2020 at 3:37:57 AM UTC+1, Norman Megill wrote:
>>
>> On Friday, January 31, 2020 at 8:23:08 PM UTC-5, Benoit wrote:
>>>
>>> Regarding the possible introduction in the main part of semigroups and 
>>> magmas:
>>> When I look at the page http://us2.metamath.org/mpeuni/df-mnd.html I 
>>> feel a bit dizzy.  The abundance of parentheses and conjunctions makes it 
>>> hard to parse.
>>>
>>
>> If you already know about magmas, semigroups, and monoids, of course 
>> you'd feel that way.  Look at it from the perspective of someone who's 
>> never heard of these and really doesn't care to learn, because all they 
>> came for was groups.  Just the names of these things are somewhat 
>> intimidating and have little or nothing to do with what they really are.
>>
>
> I think we will not agree on this.  I prefer to face difficulties one by 
> one, instead of all three at the same time.  I personnally still find the 
> long chain of characters in http://us2.metamath.org/mpeuni/df-mnd.html 
> intimidating.  It's always difficult to look from the perspective of 
> someone who's completely new to it.  I may be underestimating the 
> difficulty of facing several notions, and you may be underestimating the 
> difficulty of reading such long expressions of formal math
>

Question:  why do you think that Lang's Algebra (2002 edition) doesn't 
define or mention "semigroup" in its 900 pages?

Norm

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