Playing the piano taught me math (2016)

I remember having some issues the year when I switched schools and states in 3rd or 4th grade (not sure exactly). The school district we moved to had kids memorizing all their multiplication tables and would do 2 min tests to ensure they were memorized and not thought about. I did terribly on these tests because I had not memorized them the year or a half year before like the other kids since I was at a different school. My mother got upset that I was being failed in math because she knew I was good at math. So she took me with her to parent-teacher day made me do double-digit multiplication in my head in front of my teacher. This was something no other kid in my class could do and made it apparent to my teacher that I should not be failing math.

As an adult, I have mixed feelings about this experience. My mother used to brag about this she had me do it in front of her friends, other parents with kids my age. I distinctly remember during this in a Perkins while trying to enjoy my breakfast. For me, this was simply a trick involving a larger “working memory” as opposed to “rote memory”. Being that it was still a matter of being a “trick” that required practice albeit a different kind of practice it becomes something I thought of as a trained monkey scenario.

This has come up a lot I’m my life. I worked in construction for a while out of high school and my boss would treat me this way as well. He would have me be his human calculator to help him figure out measurements. One time this was going on in a complicated octagonal room where we were trying to lay out brackets for a projection screen. He asked me to run some numbers for him and I refused. I did this because I understood what he thought he was doing but knew that his method was flawed. So I refused to give him the wrong answer, even though it was the right answer to the numbers he gave me. It caused I really big fight where he began talking down to me and tried to put me in my place.

Another Forman was there who witnessed the whole thing and I ended up doing a job with that other guy like 6 months later, but he had not forgotten the incident. He brought it up and gave me a long speech about how I should have just given my boss what he asked for instead of the correct measurements. Something I, to this day, steadfastly disagree with. Fast forward a year or two and my boss was fired due to his incompetence in measuring and ordering the materials that cost the company many tens of thousands of dollars.

Intelligence and thinking skills, in general, are practiced and exercised. However, they are not trained-monkey tricks. It is a method of living well and garnering fullness from life. And to no other end is it acceptable to waste such a thing.

Scale degrees are 1-indexed. Unison is the "first" when it should be zeroth if you want to add indices like that.

(3-1) + (3-1) = (5-1)

> I'd truly like to know how Von Neumann remembered everything.

I've been hearing claims of von Neumann's perfect memory for a long time on HN, but I've been unable to find primary sources to back them except for a single quotation by Herman Goldstine. Could the claim of "perfect memory" have been an exaggeration?

Surely von Neumann had an exceptional memory, but truly remembering everything is extremely rare (some say impossible). If he did, I imagine that the psychologists at Princeton or the IAS would have caught wind of the mathematician with a perfect memory and wouldn't have missed a chance to examine him; all the more so since "true photographic memory has never been demonstrated to exist" [1].

[1] https://en.wikipedia.org/wiki/Eidetic_memory

Or where 2^7 = 1.5^12.

Not really as most professional musicians understand the problem, but it shows that no instrument can be “perfectly” tuned.

It taught me to count 1 2 3 4 over and over and over.

And then I had to unlearn that so that no one else heard it.