Early Mathematical Thinking

I have a hunch mathematical thinking goes waaaayyy back into our human (and more-than-human) ancestry…

Ancient Pottery Shows Humans Were Doing Math 3,000 Years Before Numbers Existed – The Debrief:

Long before humans carved numbers into clay tablets or scratched equations onto stone, people in the ancient Near East were already dividing space, counting patterns, and thinking in mathematical sequences—without ever writing a single numeral.

Evidence for this surprisingly prehistoric mathematical thinking doesn’t come from proto-calculators or tally sticks, but from something far more familiar: pottery.

Chalk Apocalypse

So, when Hagoromo announced that it was going out of business in 2014, it caused a rupture in the math community.”

I referred to it as a chalk apocalypse,” Conrad said. In a panic, mathematicians across America began stockpiling resources in preparation.”

I calculated how many boxes I would need to last 10 to 15 years and I bought that many boxes,” says Lieblich.Dave Bayer took things even further. “I single-handedly bought the rest of the Amazon supply in the middle of the night,” he said.

Source: How a brand of chalk achieved cult status among mathematicians – CNN

I was gifted with an old sliding blackboard in my 2nd year of teaching (and my first year of teaching Physical Science). I loved that board and was sad to leave it later in my career when I went to a new school.

There’s something special about chalk covered hands and the feel of writing on a blackboard to make a point about F=MA or the structure of an atom.

Now I want to go stock up on some Hagoromo and find a good blackboard for my children.

“Random” prime numbers and human projections

“So just what has got mathematicians spooked? Apart from 2 and 5, all prime numbers end in 1, 3, 7 or 9 – they have to, else they would be divisible by 2 or 5 – and each of the four endings is equally likely. But while searching through the primes, the pair noticed that primes ending in 1 were less likely to be followed by another prime ending in 1. That shouldn’t happen if the primes were truly random –  consecutive primes shouldn’t care about their neighbour’s digits.”

Source: Mathematicians shocked to find pattern in “random” prime numbers | New Scientist

Math, philosophically, is spooky.

Does it “really” exist in the cosmos or is it (like most things we consider to be intrinsic to the universe) a human projection based on our finite nature?