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The phrase "founded the theory" is correct and usable in written English.
It can be used when discussing the establishment or creation of a particular theory by an individual or group.
Example: "Albert Einstein founded the theory of relativity, which revolutionized our understanding of space and time."
Alternatives: "established the theory" or "developed the theory."
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Sophus Lie, (born Dec. 17, 1842, Nordfjordeid, Norway died Feb. 18, 1899, Kristiania), Norwegian mathematician who founded the theory of continuous groups and their applications to the theory of differential equations.
December 17, 1842 Nordfjordeid, Norway February 18 , 1899Oslo, Norway Sophus Lie, (born Dec. 17, 1842, Nordfjordeid, Norway died Feb. 18, 1899, Kristiania) Norwegian mathematician who founded the theory of continuous groups and their applications to the theory of differential equations.
Cartan's generalization of Klein geometries thereby founded the theory of group or \(G\ -structures.
With Emil Artin, Richard Brauer, and Helmut Hasse, she founded the theory of central simple algebras.
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Christiaan Huygens, also spelled Christian Huyghens (born April 14 , 1629 The Hague died July 8, 1695, The Hague) Dutch mathematician, astronomer, and physicist, who founded the wave theory of light, discovered the true shape of the rings of Saturn, and made original contributions to the science of dynamics the study of the action of forces on bodies.
November 19, 1843 Paris, France August 18 , 1896Zürich, Switzerland Richard Avenarius, (born November 19, 1843, Paris died August 18 , 1896 Zürich), German philosopher who taught at Zürich and founded the epistemological theory of knowledge known as empiriocriticism, according to which the major task of philosophy is to develop a "natural concept of the world" based on pure experience.
Other notable former residents include J. Thomas Looney, an elementary school master whose controversial text 'Shakespeare Identified' founded the Oxfordian theory of Shakespeare authorship and Thomas Wilson, a local poet most famous for his 1843 work The Pitman's Pay.
The Children's Center at the Bedford Hills Correctional Facility was founded on the theory that children are often the hidden victims of the penal system.
Bacardi's confidence is partly founded in the theory of continuous incremental improvement, as espoused by the Japanese management philosophy of "kaizen".
The knowledge of this triangle of forces, equivalent to the parallelogram diagram of forces, gave a new impetus to the study of statics, which had previously been founded on the theory of the lever.
The biofuels craze was founded on the theory that plant-based fuels are carbon-neutral: The carbon dioxide released from burning biofuels would be canceled out by the carbon dioxide absorbed by plants as they grow.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com