The phrase "logical apparatus" is grammatically correct and can be used in written English.
It refers to a set of principles or methods used to think or reason logically. Example: In order to solve complex problems, scientists often use intricate logical apparatus to analyze data and draw valid conclusions.
Even so, it was not until 1879, when Frege developed the necessary logical apparatus, that logicism could finally be said to have become technically plausible.
By contrast Peirce's logic is reasonably clear, and he takes great pains to work it out in intricate detail; basically Peirce's logic is the whole logical apparatus of the physical and social sciences.
The method can be extended to predicate logic but this demands additional logical apparatus: Skolemnization, variable renaming, quantifier duplication, complementarity of paths via unification, and simultaneous substitution across all matrix paths (Bibel 1981, Andrews 1981).
Colson predicts that Pessoa's writings "will unlikely appeal to Anglo-American philosophers"; his "impressionistic and fragmentary" style offers, for better or worse, "profound insights without logical apparatus".
Ricardo invented the concept of the economic model a tightly knit logical apparatus consisting of a few strategic variables that was capable of yielding, after some manipulation and the addition of a few empirically observable extras, results of enormous practical import.
The logicians of this school were primarily interested in defining their terms and concepts and for this purpose developed an elaborate technical vocabulary and logical apparatus that came to be used by, other than philosophers, writers on law, poetics, aesthetics, and ritualistic liturgy.
This is beauty in the classical sense: the logical simplicity of the apparatus, like the logical simplicity of the analysis, seems as inevitable and pure as the lines of a Greek monument.
Dalla Chiara shows that the duality in the description of state evolution, encoded in the ordinary (i.e. von Neumann's) approach to the measurement problem, can be given a purely logical interpretation: "If the apparatus observer O is an object of the theory, then O cannot realize the reduction of the wave function.
Fuzzy logic in the broad sense (older, better known, heavily applied but not asking deep logical questions) serves mainly as apparatus for fuzzy control, analysis of vagueness in natural language and several other application domains.
Wyclif's heretical theses concerning the Eucharist are the logical consequence of the application of this philosophical apparatus to the problem of the real presence of the body of Christ in the consecrated host.
Attempting to understand life's origin is finding a hypothetical sequence of physicochemical steps (based on distinct logical conditions) that lead to individuals with a life-like genetic apparatus.
