kai-qu / notation

Collection of quotes on notation design & how it affects thought.
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from Fauconnier and Turner's "The Way We Think" #15

Closed panicz closed 7 years ago

panicz commented 7 years ago

Here's a fragment from the book "The Way We Think" you may like (unfortunately, it isn't freely available AFAIK)

The development of formal systems to leverage human invention and insight has been a painful, centuries-long process. [...] In the twelfth century, the Hindu mathematician Bhaskara said, ``The root of the root of the quotient of the greater irrational divided by the lesser one being increased by one; the sum being squared and multiplied by the smaller irrational quantity is the sum of the two surd roots.'' This we would now express in the form of an equation, using the much more systematically manageable set of formal symbols shown below. This equation by itself looks no less opaque than Bhaskara's description, but the notation immediately connects it to a large system of such equations in ways that make it easy to manipulate. \begin{equation} \sqrt{(\sqrt{\frac{n}{k}}+1)^{2}k}=\sqrt{k}+\sqrt{n} \end{equation}

kai-qu commented 7 years ago

I agree that going from natural language to algebra is a major notational advance. Want to make a PR adding this quote? (The book is now on my to-read list too.)

panicz commented 7 years ago

I guess I could do that, but I don't know what to do about the fact that all the other quotes have links to the resources they come from (some of them are dead links, but none links to amazon -- I understand that we don't want to make this resource an advertisement)

kai-qu commented 7 years ago

It's fine to link either to this PDF of chapter 1, or the quote in Google Books.

panicz commented 7 years ago

https://github.com/hypotext/notation/pull/16