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Science Quote by Evangelista Torricelli

"The Geometer has the special privilege to carry out, by abstraction, all constructions by means of the intellect. Who, then, would wish to prevent me from freely considering figures hanging on a balance imagined to be at an infinite distance beyond the confines of the world?"

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Torricelli is doing something sly here: he’s defending the scientist’s right to commit a kind of controlled heresy. In the 17th century, “abstraction” wasn’t just a mathematical technique; it was a social and philosophical provocation. To claim a “special privilege” for the geometer is to carve out an intellectual jurisdiction where authority, tradition, even common sense can’t easily file objections. Geometry becomes a passport that lets you leave the messy jurisdiction of the visible world and still return with lawful conclusions.

The image is audaciously theatrical: “figures hanging on a balance” suspended at “an infinite distance beyond the confines of the world.” That’s not idle poetry. Torricelli, living in Galileo’s wake, is reaching for the new mechanics where idealized objects - frictionless planes, perfect levers, weightless strings - do real work. The “balance” signals equilibrium, the heart of classical statics, while the infinite distance signals the trick: remove contingencies (air resistance, imperfect materials, local irregularities) so the mind can isolate structure.

Subtext: don’t confuse an imagined setup with a frivolous one. Torricelli is arguing that rigor doesn’t require physical proximity, only logical necessity. It’s also a quiet rebuttal to critics who saw mathematical physics as detached, even dangerous. He’s asserting that imagination, when disciplined by geometry, is not escapism; it’s the engine of discovery. In an era where cosmology, theology, and physics still jostled for primacy, Torricelli stakes a modern claim: the mind can legitimately build worlds to understand this one.

Quote Details

TopicReason & Logic
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APA Style (7th ed.)
Torricelli, Evangelista. (2026, January 16). The Geometer has the special privilege to carry out, by abstraction, all constructions by means of the intellect. Who, then, would wish to prevent me from freely considering figures hanging on a balance imagined to be at an infinite distance beyond the confines of the world? FixQuotes. https://fixquotes.com/quotes/the-geometer-has-the-special-privilege-to-carry-133215/

Chicago Style
Torricelli, Evangelista. "The Geometer has the special privilege to carry out, by abstraction, all constructions by means of the intellect. Who, then, would wish to prevent me from freely considering figures hanging on a balance imagined to be at an infinite distance beyond the confines of the world?" FixQuotes. January 16, 2026. https://fixquotes.com/quotes/the-geometer-has-the-special-privilege-to-carry-133215/.

MLA Style (9th ed.)
"The Geometer has the special privilege to carry out, by abstraction, all constructions by means of the intellect. Who, then, would wish to prevent me from freely considering figures hanging on a balance imagined to be at an infinite distance beyond the confines of the world?" FixQuotes, 16 Jan. 2026, https://fixquotes.com/quotes/the-geometer-has-the-special-privilege-to-carry-133215/. Accessed 12 Feb. 2026.

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The Geometer and the Infinite: Torricelli on Abstract Geometry
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About the Author

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Evangelista Torricelli (October 15, 1608 - October 25, 1647) was a Scientist from Italy.

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