The phrase "a sort of logic" is correct and usable in written English.
It can be used when describing a type or category of reasoning that may not be strictly formal or conventional.
Example: "In this debate, the speaker presented a sort of logic that appealed to the audience's emotions rather than their intellect."
Alternatives: "a kind of reasoning" or "a type of logic".
Certain motifs seem theoretically impractical as marks, but on the printed page they have a sort of logic.
It has been suggested that Giles considers rhetoric to be a sort of "logic" of ethics and politics: this brilliant interpretation still awaits, however, full development and articulation (Staico 1992).
That has a sort of logic to it, right?
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Britain is 'swamped' by immigrants and any sort of logic is the preserve of 'liberal elites' and can therefore go to the dogs.
The I.B.M. circuit performs only a single, simple operation -- flipping a "true" to "false" and vice versa -- but it marks the first time that a device made of carbon strands known as nanotubes has been able to carry out any sort of logic.
The circuit performs a single, simple operation -- flipping a "true" to "false" and vice versa -- but it is the first time that a device made of carbon strands known as nanotubes has been able to carry out any sort of logic.
The game's puzzles are also the oddest of the series, requiring a sort of dream logic to solve.
The guidelines that resulted from the program, a sort of universal logic for all the cars' switches and systems, helped shape the dashboard controls in the redesigned Ford Edge and Explorer.
But, as the brothel balances the convent in a sort of dramaturgical logic, so does its God of Love "speake feelingly" (the First Gentleman's bitter quibble) in a world of rotting bodies.
Indeed, the pro-cloning bioethicists I talked to often resorted to a sort of consumer logic: there's a market out there that wants this, and who am I to say they can't have it?
