[alex-g]

It's interesting, but the problem I have with the presentation is that the modern manifestation of this idea has nothing to do with Buddhism. While we can maybe say that Buddhism came up with some similar-looking stuff, there's no causal link, and the philosophical systems are not working within the same paradigm. Like seeing a human face on the surface of Mars, this is an example of coincidence more than any deep connection.

Well, OK, that's unfair, because Buddhism and formal logic are both human endeavours, and have to deal with the same facts. But this disconnect is even true with parts of Greek philosophy. "Atoms" as we understand them are very different from "atoms" as Aristotle thought of them, even though there is a historical connection. Today's chemists would do badly if they relied on Aristotle for anything other than historical curiosity.

[s_baby]

>It's interesting, but the problem I have with the presentation is that the modern manifestation of this idea has nothing to do with Buddhism. While we can maybe say that Buddhism came up with some similar-looking stuff, there's no causal link, and the philosophical systems are not working within the same paradigm. Like seeing a human face on the surface of Mars, this is an example of coincidence more than any deep connection.

Philosophies have been swapping ideas for thousands of years and it shows. Take a look at thinkers like Plotinus for example. He lived in Alexandria back when it was a multicultural metropolis hosting people from across the known world. His philosophy uses ideas and language you would expect to find in eastern traditions. Thanks to his extensive influence you will also find this jargon in western philosophy, christianity, islam, etc... This might not seem relevant to you. But if you know the historical connections between neo-platonism and philosophy of math it might.

http://en.wikipedia.org/wiki/Plotinus

[nzp]

Aristotle had nothing to do with the atomic theory, other than being against it. As far as antique atomism goes, the ideas is essentially what it is in modern science---matter consists of indivisible elementary particles. It doesn't matter much that what we call "atoms" do not fit the description (at the time of their modern theoretical (re)discovery it was thought they are elementary). This simple idea, without any further elaboration as to how "atoms" work, just the idea that they exist as such, is far more powerful than it seems at first sight. Feynman thought it was the most important piece of scientific knowledge about the universe, so much so that if all scientific knowledge would to disappear but we could choose one fact to preserve, he would choose the idea of atomic theory.

Indeed any scientist relying on Aristotle would do badly, and one of the reasons was because he was against atomism.

[vidarh]

But this is part of the point of the article:

The philosophy of Buddhism that seems strange and illogical to many who are used to Western philosophy and classical logic actually fit into systems of logic that were conceived separately, without knowledge of Buddhist philosophy.

Buddhism serves both as an example of how these systems can be useful (they allow us to subject unusual - to us - systems of philosophy to rigorous logical treatments), and as an example of how philosophical traditions that can seem unusual and "weird" and that we might dismiss as illogical may simply follow different rules to what we are used to.

For my part, without relating the maths to something else - like Buddhist philosophy - the maths would have been quite uninteresting.