Exactly. Most people don't realize how unnatural and difficult written language actually is, yet here we are. There's a great book on the subject called 'Proust and the Squid'[1]; it looks into the history, development and neuroscience of reading and it's quite eye-opening. There's really no reason to believe why math/music/programming/etc should be any different.
[1] http://www.amazon.com/Proust-Squid-Story-Science-Reading/dp/...
Also, you have a pretty skewed idea of how evolution works. How long do you think it took for evolution to "wire our brains" to learn to write quickly?
As long as the time it took for evolution to rewire our brains, I'd say more than a thousand of years, it's not like writing was invented yesterday.
Difficulty and ability are orthogonal matters, but you seem to be trying to defend a hard/static correlation between them. Of course difficulty affects ability, but it doesn't limit/promote anything. As long as you keep exposing yourself to something, your brain will adapt to get more used to it (i.e. 'get better' at it). That doesn't indicate how fast you'll be at it, nor does it mean you can't start at a lower/higher point than other people (which in itself doesn't dictate whether you up superior/inferior to them) -- it just means it's possible.
'math-inclined'... so in other words, interested/experienced in math?
Um, yeah?
You don't like math, we get it. But you can't justify matters of taste 'scientifically' like that. There is no other way we can quantify these 'inclinations' you speak of other than taste, so there's nothing really new here.
Not everybody born with perfect pitch wants to be a musician, and I can guarantee you there are plenty of musicians without it that can run circles around some of those that do have it.
I'm interested in programming and music, and confidently feel I'm good at both, does that mean I'm "musically/programmatically-inclined"? If so, how might I be? Or instead, how would you define a person that isn't musically-inclined? You could argue that a literally tone-deaf person isn't, but not that !musical_inclination == tone_deafness; so how would you define it? The simplest definition that would catch the most cases here would just be the lack of interest. So in other words:
if (interests.contains(some_subject)) {
return POTENTIAL_SUCCESS;
}
else {
return null; // because it is 'undefined', not necessarily FAILURE
}
Pretty novel idea there. Who would've thought you needed to be interested in something to excel in it?Well, I'd argue this is a bad place to start out. The better questions are:
1. What do these equations represent?
2. Why do we care about what they represent?
3. What does "solving them" mean for the things they represent?
So, maybe a more important muscle to exercise is the one that lets us go up and down the ladder of abstraction. A huge part of mathematics is seeing a class of (relatively) concrete things, finding commonalities and drawing out abstractions, reasoning about the abstractions, and then drawing conclusions about the more concrete things.You can do so much of this without the formalisms of classroom mathematics and, honestly, it's what "real" mathematicians do. The formalisms are just a high-bandwidth way of communicating these ideas between mathematicians. They're just a highly technical map of the terrain, not the terrain itself.
In fact, if I was teaching someone and they invented their own bizarro syntax for "solving" equations I'd be ecstatic. Whatever it was that happened in their head that made them
> but the effort to get there will be a power of that needed by a "math-inclined" person.
This is fine and true, perhaps, but if so it's true of all things, not just mathematics. You can replace "math" with "writing" or "running" or "playing a kazoo."
What do you think makes mathematics special?
You think of language as a basic skill because you have taken it for granted your whole life, but the same kinds of mental abilities used for language are what is needed for mathematics. There are heaps of scientific evidence supporting this. [1]
Again, you are putting mathematics on a pillar because it's foreign to you, not because of any inherent difficulty in the subject itself. You're "acknowledging" a myth as fact.
[1] http://www.amazon.com/The-Math-Gene-Mathematical-Thinking/dp...
It sounds like you have a grudge against basic mathematics because you think isn't important, you're afraid of it, and it affected your life in an adverse way. Unfortunately that has little to do with a human's ability to learn.
The truth is that talent means nothing in comparison with practice.