"The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes"
About this Quote
Bell is needling a stubborn cultural superstition: that “abstract” is code for useless. Mathematicians, especially in Bell’s era, were watching their subject split into ever more rarefied languages - set theory, topology, abstract algebra - and hearing the same complaint from outsiders: Where’s the real-world payoff? His line flips the charge with a sly “therefore”: abstraction doesn’t float away from reality; it often condenses it.
The intent is partly defensive (a brief for pure research) and partly prophetic. By “the longer mathematics lives,” Bell treats the discipline like an organism that evolves toward higher-level patterns. Abstraction is not ornamentation; it’s compression. You stop solving one problem at a time and build a framework that solves whole families of problems, including ones you haven’t met yet. That’s why it can become “possibly also the more practical”: practical use is frequently a lagging indicator. The subtext is a quiet rebuke to funding mentalities that demand immediate application. Bell suggests the most powerful tools arrive indirectly, because they were built without being shackled to a single use-case.
Context matters: Bell wrote in a century when “pure” mathematics was professionalizing and, simultaneously, being vindicated by physics, engineering, and later computation. The joke is that “practical” turns out to be the narrow category. Abstract work creates the operating system of modernity: the structures that later become indispensable precisely because they were designed to be general. The quote works because it’s almost paradoxical, and then, on reflection, it’s just history.
The intent is partly defensive (a brief for pure research) and partly prophetic. By “the longer mathematics lives,” Bell treats the discipline like an organism that evolves toward higher-level patterns. Abstraction is not ornamentation; it’s compression. You stop solving one problem at a time and build a framework that solves whole families of problems, including ones you haven’t met yet. That’s why it can become “possibly also the more practical”: practical use is frequently a lagging indicator. The subtext is a quiet rebuke to funding mentalities that demand immediate application. Bell suggests the most powerful tools arrive indirectly, because they were built without being shackled to a single use-case.
Context matters: Bell wrote in a century when “pure” mathematics was professionalizing and, simultaneously, being vindicated by physics, engineering, and later computation. The joke is that “practical” turns out to be the narrow category. Abstract work creates the operating system of modernity: the structures that later become indispensable precisely because they were designed to be general. The quote works because it’s almost paradoxical, and then, on reflection, it’s just history.
Quote Details
| Topic | Reason & Logic |
|---|---|
| Source | Help us find the source |
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