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His philosophy enshrined number as the unifying concept necessary for understanding everything from planetary motion to musical harmony.
I am berated for not taking the time to consume pieces of our collective history; I am told of the countless series that have shaped our media landscape, the ur-texts considered necessary for understanding anything currently being produced.
Stephen Hawking has been wrongly criticised for his view in his latest work, The Grand Design, that God is not necessary for understanding how and why the universe came into being.
Appreciating this point is necessary for understanding how strange Reid's theory appears to be.
For Suhrawardi, a great number of valid Peripatetic principles remain necessary for understanding his Illuminationist Philosophy.
[Note: The remaining two subsections are not strictly necessary for understanding the proof of Frege's Theorem.
Knowledge of this calculus is not necessary for understanding the paper.
The fundamental knowledge of fatigue damage mechanism is necessary for understanding manufacturing process effects.
Exposure and effect data are necessary for understanding the potential hazards posed by these new materials.
While reading Capital and other late works is necessary for understanding Marx's philosophy, it is not sufficient.
Within biology, a clear understanding of probability concepts such as chance and randomness is necessary for understanding evolutionary processes.
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necessary for knowledge
necessary for familiarity
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necessary for interpretation
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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