"You can not apply mathematics as long as words still becloud reality"
About this Quote
Weyl isn’t taking a swipe at language so much as at the kind of language that pretends to be clarity. “Becloud” is doing the heavy lifting: words aren’t merely imperfect labels; they can actively fog the thing you’re trying to see. For a mathematician who spent his life toggling between rigorous formalism and philosophical reflection, the line lands as both warning and manifesto. Mathematics doesn’t float above reality; it’s a tool you can only wield once you’ve stopped smuggling in assumptions under the cover of rhetoric.
The intent is surgical: before you formalize, you have to decontaminate. In science, philosophy, even politics, a dispute often survives because the vocabulary is roomy enough for everyone to claim victory. Weyl is saying that you can’t responsibly “apply mathematics” to a muddled question, because the act of quantifying will fossilize the muddle into equations that look authoritative. Bad definitions don’t stay bad; they become machine-readable.
The subtext is a critique of premature mathematization: the temptation to treat precision as a vibe rather than a discipline. It’s also a jab at metaphysical word-games that masquerade as insight. Coming from a figure associated with early 20th-century debates about the foundations of math and physics, it echoes a moment when scientists were discovering that the world could be modeled with astonishing power - and that the models depended, precariously, on how you framed the problem in language. Weyl’s line is the gatekeeping step everyone wants to skip: name your terms, scrape off the fog, then calculate.
The intent is surgical: before you formalize, you have to decontaminate. In science, philosophy, even politics, a dispute often survives because the vocabulary is roomy enough for everyone to claim victory. Weyl is saying that you can’t responsibly “apply mathematics” to a muddled question, because the act of quantifying will fossilize the muddle into equations that look authoritative. Bad definitions don’t stay bad; they become machine-readable.
The subtext is a critique of premature mathematization: the temptation to treat precision as a vibe rather than a discipline. It’s also a jab at metaphysical word-games that masquerade as insight. Coming from a figure associated with early 20th-century debates about the foundations of math and physics, it echoes a moment when scientists were discovering that the world could be modeled with astonishing power - and that the models depended, precariously, on how you framed the problem in language. Weyl’s line is the gatekeeping step everyone wants to skip: name your terms, scrape off the fog, then calculate.
Quote Details
| Topic | Reason & Logic |
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