When one of these is allowed to dominate, we get a science which is all intuition, all "esprit de finesse," but no logical coherence, namely, English science; or we get a science which is all logic, lacking bon sens, namely, German science.
The rivalry maintains an edge and a depth that the Australia-New Zealand version, for all its greater geographic logic, lacks.
IF logic lacks certain metaproperties that first-order logic has (axiomatizability, Tarski-type semantics).
These sorted logics lead to useful expressions and inference methods for structural knowledge that ordinary first-order logic lacks.
Although some of the techniques mentioned above provide decision procedures which higher-order logic lacks, higher-order logic has the advantage of being very expressive.
It turns out that although combinatory logic lacks a notion of abstraction, one can define such a notion and thereby simulate the λ-calculus in combinatory logic.
Free logic lacks this restriction and so countenances empty names as in 'Sherlock Holmes is a detective' and negative existentials such as 'Pegasus does not exist'.
Both of these logics lack the compactness property; for example, every finite subset of {P(p) > 0} ∪ {P(p) ≤ a | a > 0} is satisfiable, but the entire set is not.
In some quarters, the fact that the most traditional models of quantum logics lack a reasonable tensor product have have been seen as heralding the collapse of the entire quantum-logical enterprise.
Combinational logic devices lack true memory, and, therefore, lack the ability to perform sequential operations.
