"All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers"
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The subtext is confidence with an edge of restraint. Maxwell isn't saying measurement is everything; he's saying exactness is. Exact science, in his view, is defined by what it can operationalize: turn a phenomenon into quantities, then manipulate those quantities to make predictions that can be checked. That is the ethos behind his own work, where invisible electromagnetic fields become equations, and equations become engineering.
Context sharpens the intent. Mid-19th century Britain is industrializing fast, and physics is shifting from qualitative natural philosophy to laboratory-driven, instrument-heavy practice. Maxwell, steeped in both rigorous math and experimental reality, is arguing for a division of labor: physics supplies lawful patterns; mathematics supplies the operations that let those patterns travel, scale, and generalize. It's not just a philosophy of knowledge - it's a blueprint for power, because what can be reduced to number can be calculated, standardized, and built.
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| Topic | Science |
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| Source | Help us find the source |
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Citation Formats
APA Style (7th ed.)
Maxwell, James C. (2026, January 17). All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers. FixQuotes. https://fixquotes.com/quotes/all-the-mathematical-sciences-are-founded-on-66381/
Chicago Style
Maxwell, James C. "All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers." FixQuotes. January 17, 2026. https://fixquotes.com/quotes/all-the-mathematical-sciences-are-founded-on-66381/.
MLA Style (9th ed.)
"All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers." FixQuotes, 17 Jan. 2026, https://fixquotes.com/quotes/all-the-mathematical-sciences-are-founded-on-66381/. Accessed 9 Feb. 2026.







