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Half Precision

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Math, code, aesthetics, xenharmonic music, anything that catches my fancy

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Substack
PricingOnly free issuesPublishesMonthly
Issues7Founded3 years agoLast Issue10 months ago
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Latest Issues

On long, self-sufficient posts

Once again, my attention fell on my many undermaintained projects like this one. So I decided to write out a little about my understanding of what’s going on.

When I try to write on a topic I’d wish to share, I face a choice which wasn’t r...

10 months ago

Short on definitions in mathematics

I don’t like when one says “natural numbers are Peano numbers”. The axioms are kinda okay but do we really need to derive commutativity and associativity of addition and multiplication if we aren’t interested in foundations stuff?

I don’t...

2 years ago

What you get from stacking fifths

After a handful of my first cryptic posts in which I remember how to write and how awful the state of my current shortcomings is, let’s do different. I promised music theory, right?

So let’s lay some groundwork first. Take a piece of paper...

3 years ago
1

Musings on free monoid: part 2

In the previous post, we left after introducing an unfolding U = Σ × Σ* ⊔ {None} of a free monoid Σ*, uniquely isomorphic to it, but we haven’t done anything like proving Peano-like axioms.

As well as for ℕ, one can write axioms for Σ*,...

3 years ago

Musings on free monoid

I guess hi

I presume general awareness of a long, open list of topics, and I don’t intend to not post erratically. But please keep reading, you’re in for an esoteric treat.

So, you want to construct natural numbers ℕ. As there are an i...

3 years ago

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