Category Archives: Mathematics

Mathematics Essay: ‘Beyond Causality’

AEON (February 14, 2025): In 1959, the English writer and physicist C P Snow delivered the esteemed Rede Lecture at the University of Cambridge. Regaled with champagne and Marmite sandwiches, the audience had no idea that they were about to be read the riot act. Snow diagnosed a rift of mutual ignorance in the intellectual world of the West. On the one hand were the ‘literary intellectuals’ (of the humanities) and on the other the (natural) ‘scientists’: the much-discussed ‘two cultures’.

Mind and world are no separate spheres that must first be connected. Rather, both depend on each other

Snow substantiated his diagnosis with anecdotes of respected literary intellectuals who complained about the illiteracy of the scientists but who themselves had never heard of such a fundamental statement as the second law of thermodynamics. And he told of brilliant scientific minds who might know a lot about the second law but were barely up to the task of reading Charles Dickens, let alone an ‘esoteric, tangled and dubiously rewarding writer … like Rainer Maria Rilke.’

Mathematics mediates a conciliatory view that avoids the mistake of the naive realist and the naive idealist…

Ludwig Wittgenstein once said: ‘I want to show the colourfulness of mathematics.’ In that spirit, I placed mathematics at the centre of my project because, in my view, mathematics searches along more of these many paths than any other intellectual discipline. It is connected on a deep level both with the natural sciences and the humanities. It bridges the gulf between them, and it does so by putting certain metaphysical and epistemological dogmas into question, as will become clear in the following.

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Gordon Gillespie is an actuary, quantitative risk manager and data scientist. He has a doctorate in philosophy and is the author of the German-language book The Oracle of Numbers: A Short Philosophy of Mathematics (2023). He lives in Rüdesheim, Germany.