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The phrase "defined and redefined" is grammatically correct and commonly used in written English.
It can be used when discussing a concept or idea that has been given a specific definition, but has since been changed or refined. Example: "The concept of beauty has been defined and redefined throughout history, reflecting the evolving societal standards and cultural influences."
Exact(16)
There is a sense of infinite regress to the argument, a feeling of abstraction upon abstraction, words like "algorithm" and "formula" and "process" and "method" defined and redefined circuitously, if not circularly.
The concept of "New Media" is itself one that is constantly being defined and redefined; does thinking about the forms which new media have taken in popular and theoretical discourse help us to an understanding of what defines new media?
Founded in 1792, the French Republic has been defined and redefined by a succession of regimes and institutions, a multiplicity of symbols, and a plurality of meanings, ideas, and values.
In "Inventing George Washington," Edward G. Lengel — editor in chief of the Papers of George Washington and a professor at the University of Virginia — says he intends to examine "Washington myths and mythmakers" and trace "the means by which they have defined and redefined the founder from the beginning of the 19th century up to the present day".
The 2000s brought about an incredible run of organic growth and acquisition that defined and redefined again what the Whole Foods brand would stand for.
In MacIntyre's words, an intellectual "tradition is an argument extended through time in which [even its] fundamental agreements are defined and redefined..
Similar(44)
A constantly defining and redefining of each other and ourselves by all this stuff.
Norton describes how street users struggled to define and redefine what streets were for.
We, the British, the public as well as the elites, need to define and redefine our interests.
But in the singles matches that define and redefine order in his court, Djokovic has been unbeatable in 2011.
President Clinton has used his seven State of the Union addresses to define and redefine himself in response to the shifting tenor of the times.
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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