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The phrase "a process of inference" is correct and usable in written English.
It can be used when discussing reasoning, deduction, or drawing conclusions based on evidence or premises.
Example: "The scientific method involves a process of inference to draw conclusions from experimental data."
Alternatives: "a method of deduction" or "a reasoning process".
Exact(1)
This "special process in the mind" is a process of inference.
Similar(59)
Knowledge by acquaintance obtains whenever "we have acquaintance with anything of which we are directly aware, without the intermediary of any process of inference or any knowledge of truths" (The Problems of Philosophy, 46).
Assessing internal validity of evidence on effectiveness from clinical trials is, in essence, a process of scientific inference for causality.
It is possible to treat ampliative reasoning as a process of deductive inference rather than as a process of question and answer.
The minimisation of perceptual prediction error, across multiple hierarchical layers, approximates a process of Bayesian inference such that perceptual content corresponds to the brain's "best guess" of the causes of its sensory input.
With ACE, researchers construct causal histories of interrelated social and/or biophysical events backward in time and outward or inward in space through a process of eliminative inference and reasoning from effects to causes, called abduction.
We introduce a mathematical model of embodied consciousness, the Projective Consciousness Model (PCM), which is based on the hypothesis that the spatial field of consciousness (FoC) is structured by a projective geometry and under the control of a process of active inference.
The remarkable explanatory power of these models supports Helmholtz's view of perception as a process of unconscious inference, in which "previous experiences act in conjunction with present sensations to produce a perceptual image" [41].
Thus, in the context of our novel theoretical framework, these results suggest that observers routinely rely on sensory input to augment their sense of the passage of time, through a process of Bayesian inference based on expectations of change in the natural environment.
Helmholtz argues that the brain adjusts the retinal images by a process of "unconscious inferences".
We might also consider it as somewhat epistemically implausible to assume that everybody's belief in a self is arrived at by a process of drawing inferences from a set of clues.
More suggestions(16)
a process of argumentation
a process of extrapolation
a chain of inference
a means of inference
a kind of inference
a set of inference
a failure of inference
a form of inference
a system of inference
a realization of inference
a problem of inference
a rule of inference
a tool of inference
a wealth of inference
a principle of inference
a degree of inference
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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