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A propositional formula may also be called a propositional expression, a sentence, or a sentential formula. A propositional formula is constructed from simple propositions , such as "five is greater than three" or propositional variables such as p and q , using connectives or logical operators such as NOT, AND, OR, or IMPLIES; for example:
A sentence consisting of at least one dependent clause and at least two independent clauses may be called a complex-compound sentence or compound-complex sentence. Sentence 1 is an example of a simple sentence. Sentence 2 is compound because "so" is considered a coordinating conjunction in English, and sentence 3 is complex.
Compound sentences are formed from simpler sentences and express relationships among the constituent sentences. [30] This is done by combining them with logical connectives : [ 30 ] [ 31 ] the main types of compound sentences are negations , conjunctions , disjunctions , implications , and biconditionals , [ 30 ] which are formed by using the ...
A major sentence is a regular sentence; it has a subject and a predicate, e.g. "I have a ball." In this sentence, one can change the persons, e.g. "We have a ball." However, a minor sentence is an irregular type of sentence that does not contain a main clause, e.g. "Mary!", "Precisely so.", "Next Tuesday evening after it gets dark."
A formula is logically valid (or simply valid) if it is true in every interpretation. [22] These formulas play a role similar to tautologies in propositional logic. A formula φ is a logical consequence of a formula ψ if every interpretation that makes ψ true also makes φ true. In this case one says that φ is logically implied by ψ.
Six years after his Alzheimer’s diagnosis, 90-year-old Zelik Bocknek (Zel) refuses to slow down — and he believes his active lifestyle is key to keeping his symptoms at bay.
In logic, a truth function [1] is a function that accepts truth values as input and produces a unique truth value as output. In other words: the input and output of a truth function are all truth values; a truth function will always output exactly one truth value, and inputting the same truth value(s) will always output the same truth value.
Meghan Trainor is sharing her cosmetic procedure regrets.. The singer, 30, admitted she’s had “too much Botox” to the point where she “cannot smile” while speaking on the Nov. 20 episode ...