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"Construct a theory" is a correct and usable phrase in written English
You can use it when you want to describe the act of creating a hypothesis or explanation for something. Example: The scientists were tasked with constructing a theory to explain the new phenomenon they had observed in the lab.
Exact(29)
In this paper we rely on the constructal law of maximization of flow access in order to construct a theory of geometry generation (selection, evolution) during molten droplet impact.
To me, at least, this seems like a thin reed on which to construct a theory of deniability for the Trump campaign and the Trump White House.
If you wanted to, you could perhaps construct a theory that the two films, placed together, trace America's postindustrial urban decline.
How exactly can one construct a theory of meaning without first saying what it is for a speaker to understand a language?
It is possible to construct a theory – unproven, I'd say – that he decided in his early teens that he wanted to be Prime Minister.
Whereas Frege sank into a deep depression, Russell set about repairing the damage by attempting to construct a theory of logic immune to the paradox.
Similar(31)
Von Neumann and Morgenstern understood this distinction; to accommodate all players, whatever their goals, they constructed a theory of utility.
This was a first step in the still incomplete project of constructing a theory for optimal coding by spiking neurons.
In this book, David Welch seeks to answer this question, constructing a theory of foreign policy change inspired by organization theory, cognitive and motivational psychology, and prospect theory.
This paper constructs a theory model in order to study how entrepreneurial traits affect entrepreneurial orientation among the student community.
In constructing a theory for the precession of the equinoxes, for example, he was trying to build a model based upon very small, long-term effects.
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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