'different logic' is a correct and usable phrase in written English.
You can use it when referring to an alternative or contrasting way of thinking, for example: "He offered a different logic for solving the problem."
And this can only mean that a radically different logic must be unthinkable for us.
This way, we are able to discover also those futuribles that are formed differently and with a different logic than our current reality.
The results show the difference in dynamic noise immunities in different logic families.
A whole different logic starts to be available".
Each has a different sound and a different logic.
Journalistic framing follows a different logic.
His joint implant and surgery in Belgium were priced according to a different logic.
The sitter represents the child's first brush with relativity: Suddenly a different set of answers obtains, a different logic prevails.
The array of the uncommitted gates can be quickly configured for different logic functions by routing them (Fig. 6c).
Underneath that rhetoric, however, the economic architecture that supports the Fight for $15 is built on entirely different logic.
Making yourself is different than producing a product or an external outcome, requiring different logic and different means.
