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If separating words using spaces is also permitted, the total number of known possible meanings rises to 58. [38] Czech has the syllabic consonants [r] and [l], which can stand in for vowels. A well-known example of a sentence that does not contain a vowel is Strč prst skrz krk, meaning "stick your finger through the neck."
Sentences are then built up out of atomic sentences by applying connectives and quantifiers. 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.
A closed formula, also ground formula or sentence, is a formula in which there are no free occurrences of any variable. If A is a formula of a first-order language in which the variables v 1, …, v n have free occurrences, then A preceded by ∀v 1 ⋯ ∀v n is a universal closure of A.
Formally, every sentence above looks like the first conditional, with the condition having future meaning, [5] which was not our intention. Generally, context and auxiliary words like "already", "at present", etc. sometimes are enough to inform us that the condition has present meaning, but sometimes are not, which leads to ambiguity, for example:
The Polish logician Alfred Tarski identified three features of an adequate characterization of entailment: (1) The logical consequence relation relies on the logical form of the sentences: (2) The relation is a priori, i.e., it can be determined with or without regard to empirical evidence (sense experience); and (3) The logical consequence ...
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.
It is not true, however, that a dark room implies the presence of a broken lamp. There may be no lamp (or any light source). The lamp may also be off. In other words, the consequent (a dark room) can have other antecedents (no lamp, off-lamp), and so can still be true even if the stated antecedent is not. [1]
6th edition (Longman Dictionary of Contemporary English 6th Edition): Includes 230,000 words, phrases, and meanings; 165,000 corpus-based example sentences, Longman 9,000 keywords, 65,000 collocations (extra 147,000 online), online access for print dictionary. [5] Paperback bi-colour edition+12 months online subscription (ISBN 978-144795420-0)