Not that Poincaré had any objection to experimental work. On the contrary, he believed in experimental results and mathematical rigour. "Explanations are what we lack the least," he once said. What would he have made of String Theory? The Higgs boson? Dark matter? We still need his epistemological scepticism, combined with huge mathematical ability. He believed the universe to be truly intelligible, but also that we can never know what it is "truly" like. He was sceptical of what we call space, or even space-time, and this was before quantum theory, before we fully realised that space-time cannot be infinitely divisible. He even talked of an "atom of time", and believed in the primacy of processes and relationships, rather than some nebulous space in which they take place, and used the concept of symmetry (mathematically speaking: group theory) in preference to that of space. How interesting, then, that symmetry has been the guiding hand in studying interactions unknown in Poincaré's time, the strong and weak nuclear forces, which along with electromagnetism have given us the three quantum forces of the so-called Standard Model of elementary particles.
If space is an illusion, where then does it come from? Poincaré located our intuition of space in our nervous impulses. He would have loved modern brain-imaging techniques, partical accelerators, computers and on the centenary of his death last year some writers referred to this great polymath as "the last universalist". I fervently hope not, but where do we find another like him?


















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