Tag Archives: Chemistry

The Three-Body Problem

With two interacting bodies, interacting via the r-squared forces of gravity or electricity, and obeying classical mechanics, the equation of motion can be written down in closed form.

With three interacting bodies, the equation of motion can’t be written down in closed form.

So the three-body problem can’t be solved exactly (and this is just for classical mechanics and r-squared forces). Algebraic approximations or numerical simulations can do a good job, but they’re not exact.

So what’s it mean?

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Holism vs Reductionism

Reductionism reduces everything to its parts. You know how the parts behave, then put them together, and thus you know how the whole thing behaves.

This could be for our knowledge in principle, for our knowledge in practice, and for how the universe does it (except the universe doesn’t, we just think it does).

Reductionism has been exceptionally successful in the last thousand years or so, first with the Arabs and then with the Europeans and their descendants.

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