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The phrase "act of reasoning" is correct and usable in written English.
It can be used when discussing the process of thinking logically or drawing conclusions based on evidence or premises.
Example: "The act of reasoning is essential in problem-solving, as it allows individuals to analyze situations and make informed decisions."
Alternatives: "process of reasoning" or "exercise of reasoning".
Exact(1)
For him, the Enlightenment, with its sensistic, subjectivist attitude and devotion to the act of reasoning, rather than to the light of reason, degenerates inevitably into a hotchpotch of negation and ignorance, leading to radical corruption in ethics, and every other branch of philosophical endeavour.
Similar(58)
Apart from the continual and countless acts of reasoning and mercy of women at the most intimate and local levels, their organisations in, for instance, Afghanistan and elsewhere take substantial and courageous actions to secure and sustain stability.
"Not only has transactive memory not hurt us," he writes, "it's allowed us to perform at higher levels, accomplishing acts of reasoning that are impossible for us alone".
Such information-processing contexts are not restricted to explicit acts of inferential reasoning by human agents, but include automated reasoning and theorem proving, as well as machine-based computational procedures in general.
The scholastics inherited from Avicenna the principal idea that the activity of the human intellect can be differentiated into different phases of gradual development and into different acts of syllogistic reasoning (Hasse 1999 and 2000, 191 200).
This instance gives us three more types of act: reasoning, display, accordance, and two types of interact: inquire, qualify.
The rarity of secondary tool use in non-humans, and its relatively recent appearance in the human fossil record, has led some authors to assume a strong association with the ability to plan ahead and act on the basis of reasoning (for example [6], [8]).
In this case, the operator is a trusted source, so Dempster (who, along with its counterpart Shafer, is named, fittingly, for a theory of reasoning with uncertainty) acts on that information, walking straight through the cardboard wall.
As Hobbes points out in the chapters Of Philosophy and Of Method in the first part (Computation or Logic) of the first section (Concerning Body) of his Elements of Philosophy (1655), knowledge is the result of the manipulation of sensory input based on the employment of logical rules of reasoning (ratiocination) in acts of what he calls "computation".
Following the line of reasoning that prolactin acts as a survival factor in breast cancer cells [ 59- 63] and that STAT5 promotes survival in normal mammary epithelial cells [ 64, 65], we tested whether the addition of prolactin to starved, untransformed mammary epithelial HC11 cells would rescue differentiated cells from apoptosis.
This point applies only in cases where we do not conclude that some act is right or wrong by some form of reasoning.
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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