Sentence examples for logic reflection from inspiring English sources

This work should be seen as providing foundations for many useful applications of rewriting logic reflection.

We then show that conditional rewriting logic is reflective, generalizing in two stages: first to the unsorted conditional case, and then to the many-sorted conditional case, the already known result for unconditional and unsorted rewriting logic (Reflection in Rewriting Logic: Metalogical Foundations and Metaprogramming Applications. CSLI Publications, 2000).

Logic, reflection, and concentration were the methods of such self-discipline.

But if Arnauld took seriously the remark at the beginning of the Logic, "The reflections we can make on our ideas are perhaps the most important part of logic, since they are the foundation of everything else," he may well have thought that Malebranche's theory of ideas was an important source of the confusion of theology with philosophy that plagues TNG.

However, provability logic does not prove reflection, as the instantiation □⊥ →⊥ of reflection would lead to a contradiction with the axiom (GL).

The play has a captivating internal logic, but as a reflection of behaviour we may actually recognise, it is fanciful.

The forms and constants with which logicians are concerned at a particular point in the development of logic are just a reflection of the logicians' progress (up to that point) in systematically classifying valid inferences.

Leibniz's reflections on epistemological matters do not rival his reflections on logic, metaphysics, divine justice, and natural philosophy in terms of quantity.

Such alternative logics demand deep critical reflection for the Anthropocene, important as they are for the material living reality of the lives of the human and more-than-human masses.

It is also easy to see that the propositional connective ∧ corresponds to the set-theoretic operation ∩, while ∨ corresponds to ∪, ¬ corresponds to the set-theoretic complement, and → corresponds to ⊆. Modal logics that contain the reflection axiom □A →A enjoy a particularly natural interpretation of the modal operators as well.

Note that an affirmative answer to this question invites the reflection that, if Logic commits one to the existence of any thing or kind of thing, then such existence will be necessitated.