Sentence examples for a third logic is from inspiring English sources

The idea of a third logic is closely linked with the assumption of 'countervailing powers' and 'conflict' between professionalism and managerialism [ 30, 31].

The first logic is shown to provide an axiomatic characterization of the first six postulates of the AGM theory of belief revision, while the second, stronger, logic provides an axiomatic characterization of the full set of AGM postulates.

However, it is clear that for a full account a first-order logic is required.

Formalising knowledge as a predicate in a first-order logic is referred to as the syntactic treatment of knowledge.

Independence friendly logic (IF logic, IF first-order logic) is an extension of first-order logic.

Second-order logic is an extension of first-order logic where, in addition to quantifiers such as "for every object (in the universe of discourse)," one has quantifiers such as "for every property of objects (in the universe of discourse)." This augmentation of the language increases its expressive strength, without adding new non-logical symbols, such as new predicate symbols.

A first objection is that the ontological commitment of second-order logic is higher than the ontological commitment of first-order logic.

Modal logic as a fragment of first order logic is made algebraic via Boolean modules.

A sentence of IF first-order logic is by definition true in a model M if there is a winning strategy for player 2 in the correlated game, and false if there is a winning strategy for player 1 in the correlated game.

One reason he gives for the decision is that every formalization of second-order logic (unlike first-order logic) is incomplete, relative to the standard semantics.

A first order probabilistic logic is developed and presented in both intuitive and formal terms.