3 ms·
> For example, it should be possible to describe how compound interest works without falling into an obscure technical explanation I personally find these obsc
by wolfgke 13y ago
> For example, it should be possible to describe how compound interest works without falling into an obscure technical explanation
I personally find these obscure technical (and highly abstract) explanations often far more easy to understand. I often found "easy" explanations highly illogical - not before I got the rather abstract explanations I found these explanations acceptable (and even this was not always the case - almost always the explanation for this phenomenon was that the definitions given in foundation courses could be abstracted a lot).
How can this be explained? The reason is simple: in highly abstract definitions anything that is not necessary is omitted - so there is less to think about. Additionally in this kind of definitions there is a lot more "internal logic". What does this mean? This is a little bit difficult to explain for non-mathematicians, but you can be sure that anything in the definition has a deep meaning. If this meaning seems strange to you, you can be sure that what remains to be understood often carries a deep meaning. On the other hand: when using "simple" definitions, you always have to worry whether, if something sounds strange, it is because you haven't understood it or if the "simple" explanation was simply bad.
Disclaimer: I'm a mathematician (as may be imagined). But I'm a computer scientist, too. :-)
- lutusp 13y ago> I personally find these obscure technical (and highly abstract) explanations often far more easy to understand. I do, too, but I also know that nontechnical, nonmathematical people are turned off by a quick immersion in mathematical reasoning. I have a theory (not just mine by any means) that if the beauty of mathematics could be presented before the required discipline and attention to detail, we might lose fewer possible future mathematicians. As things stand, the public level of innumeracy is depressing. > On the other hand: when using "simple" definitions, you always have to worry whether, if something sounds strange, it is because you haven't understood it or if the "simple" explanation was simply bad. Yes, very true, one must be very careful to get it right while making it simple. I personally think a persuasive layman's explanation of something mathematical can go wrong in so many ways, and the more persuasive, the more room for error. Consider all the crazy "explanations" of quantum theory out there -- the more popular ones have no connection to reality.