"alternative logic" is correct and usable in written English.
You can use it when referring to alternative approaches to problem solving or reasoning. For example, "The doctor proposed an alternative logic to diagnose the patient's illness."
Dr. Ebright's alternative logic is sociological but equally simple.
The Sense Amplifier-based Pass Transistor Logic (SAPTL) is a low energy alternative logic topology to fully complementary static CMOS logic.
For instance, when a EUDO CITIZENSHIP Forum debate (Bauböck, Cayla and Seth (eds), 2012) discussed the proposed 'Let me Vote' EU Citizens' Initiative, most contributions slid into the 'naturalisation as alternative' logic.
An alternative approach is to work only with strict (weak) equality but use an alternative Logic of Partial Functions (LPF a logic in which the "Law of the Excluded Middle" does not hold.
He identifies an alternative logic, the "model of appropriateness".
Nevertheless, the idea is sheer Proustian in its alternative logic and shares the main features of Harai's description "humans are different because they inhabit an imagined world".
Among the oldest kinds of alternative logics are many-valued logics.
This debate can only be understood if one can contrast the characteristics of these proposed alternative logics with the characteristics of the simplest modal logic.
Why could we not be tolerant of alternative languages, which seems only sensible, without thereby committing ourselves to being tolerant of alternative logics?
However, Lewis himself might have trouble with this suggestion, since he recognized the possibility of alternative logics, and presumably, any decision, even pragmatic, about the adoption or rejection of a logic must operate on some logical assumptions.
This paper explains the differences in the two risk management mixes pointing towards alternative logics of calculation [Power, M.K., 2007. Organized Uncertainty Designing a World of Risk Management.
