The phrase "a new logic and" is correct and usable in written English.
It can be used when introducing a concept or idea that involves a new way of thinking or reasoning, often in a context that requires further elaboration.
Example: "In order to solve the complex problem, we need to adopt a new logic and approach that considers all variables."
Alternatives: "a fresh perspective and" or "an innovative reasoning and".
We extracted the raw data directly from the Google spread sheet and thematically analyzed it to form a new logic model and to test each of the propositions.
It will take ten days to order a new logic board, and nothing will be retrievable from the hard drive before that.
The same case study of Bhopal was also investigated (Ishizaka and Labib, 2014) and a new logic gate in the fault tree method was proposed for analysing disasters and the benefits of using hybrid techniques of multiple criteria and fault analysis to evaluate and prevent disasters were demonstrated.
After computing the unconstrained fibring (that is, the coproduct) L1 ⊕ L2 of L1 and L2, which is defined over the signature C1 ⊕ C2 (the coproduct of C1 and C2), a new logic L is obtained.
He reconceived transcendence as a need for escape, and work out a new logic of lived time in that project.
Our data suggest a new cell biological mechanism that regulates the self renewal and differentiation properties of stem cells, providing a new logic to manipulate NSCs in the context of regenerative disease and cancer.
Poincaré suspected that the logicians were actually making an equivocal use of the term logic and that they no longer sought the former kind, but rather a "new logic" containing principles of synthetic proof or formations of non-logical concept.
This fact led to the questioning of certain principles of classical logic, in particular, the law of excluded middle, and the creation of a new logic, intuitionistic logic (see entry on intuitionistic logic).
A new logic module defined by a user is translated and compiled with the proof engine to produce a specialized theorem prover for that logic.
Derrida says that, if we can make these two concepts compatible, "you can bet not only (and I insist on not only) will one have produced a new logic, an unheard of conceptual form.
