The phrase "art of reasoning" is correct and usable in written English.
It can be used when discussing the skill or practice of logical thinking and argumentation.
Example: "The philosopher dedicated his life to mastering the art of reasoning, believing it to be essential for effective communication."
Alternatives: "skill of reasoning" or "craft of reasoning".
As a proponent of the empirical scientific doctrines of the newly established Royal Society, of which he was a founder, Petty was one of the originators of political arithmetic, which he defined as the art of reasoning by figures upon things relating to government.
On the first account, the prescriptive art of reasoning seems prima facie independent of psychological science.
Said Voltaire: "the greatest master of the art of reasoning that ever wrote, Bayle, great and wise, all systems overthrows".
The art of reasoning is prescriptive; it provides us with the rules according to which we ought to reason.
Mill offers at least three different accounts of the contribution which the psychological science of reasoning makes to the art of reasoning.
The crucial question here is of course how the dependence of the art of reasoning upon the psychological science is to be understood.
Applied logic, the study of the practical art of right reasoning.
It must also be distinguished from the art of correct reasoning, which is the practical skill of applying logical principles to particular cases; and, even more sharply, it must be distinguished from the art of persuasion, in which invalid arguments are sometimes more effective than valid ones.
(i) The main contribution of this work is that we demonstrate an extension to the scientific state of the art by reasoning about dynamic scenes with complex visual features which describe human motion with a significant temporal extent.
As Boole wrote later, it was a proper "science of reasoning", and not a "mnemonic art" like traditional Syllogistics (Boole 1997: 136).
As Mill declares as the beginning of his System of Logic, logic has two parts: the 'science of reasoning, as well as an art, founded on that science' (1843, 4).
