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A logical fallacy of the questionable cause variety, it is subtly different from the fallacy cum hoc ergo propter hoc ('with this, therefore because of this'), in which two events occur simultaneously or the chronological ordering is insignificant or unknown. Post hoc is a logical fallacy in which one event seems to be the cause of a later ...
The purpose of narration is to tell a story or narrate an event or series of events. This writing mode frequently uses the tools of descriptive writing (see below), but also exposition. Narration is an especially useful tool for sequencing or putting details and information into some kind of logical order, traditionally chronological.
In linguistics, syntax (/ ˈ s ɪ n t æ k s / SIN-taks) [1] [2] is the study of how words and morphemes combine to form larger units such as phrases and sentences.Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure (constituency), [3] agreement, the nature of crosslinguistic variation, and the relationship between form and meaning ().
A form of logical expression where all quantifiers are moved to the front, standardizing the structure of first-order logical statements. primitive recursion A form of recursion where a function is defined in terms of itself, using simpler cases, with a base case to stop the recursion. primitive recursive function
A formal system (also called a logical calculus, or a logical system) consists of a formal language together with a deductive apparatus (also called a deductive system). The deductive apparatus may consist of a set of transformation rules (also called inference rules) or a set of axioms, or have both. A formal system is used to derive one ...
Becker's rule: given A→B, deduce TA→TB where T is a tense, any sequence made of G, H, F, and P. Mirroring : given a theorem A , deduce its mirror statement A § , which is obtained by replacing G by H (and so F by P) and vice versa.
Propositional logic, as currently studied in universities, is a specification of a standard of logical consequence in which only the meanings of propositional connectives are considered in evaluating the conditions for the truth of a sentence, or whether a sentence logically follows from some other sentence or group of sentences.
A set of sentences is called a theory; thus, individual sentences may be called theorems. To properly evaluate the truth (or falsehood) of a sentence, one must make reference to an interpretation of the theory. For first-order theories, interpretations are commonly called structures. Given a structure or interpretation, a sentence will have a ...