Which word is used for disjunction?
The dictionary definition of disjunction is “the act of disjoining or the state of being disjoined.” In grammar and semantics, a coordinate construction uses disjunctive conjunction (usually “or” or “either/or”) to indicate a contrast. The items on either side of the disjunctive conjunction are called disjuncts.
What does word disjunction mean?
Definition of disjunction
1 : a sharp cleavage : disunion, separation the disjunction between theory and practice. 2 : a compound sentence in logic formed by joining two simple statements by or: a : inclusive disjunction. b : exclusive disjunction.
What is disjunction and examples?
A disjunction is a compound statement formed by combining two statements using the word or . Example : Consider the following statements. p:25×4=100. q : A trapezoid has two pairs of opposite sides parallel.
What are the two types of disjunction?
There are two kinds of logical disjunction: inclusive means “and/or”—at least one of them is true, or maybe both. exclusive (“xor”) means exactly one must be true, but they cannot both be.
How do you use disjunction in a sentence?
Disjunction in a Sentence
1. A disjunction existed between the coach’s requirements and his 5- year old players’ performance level since he expected them to play like professionals. 2. My assistant manager acts as the CEO of the company so there is a disjunction between his power and his status.
What is disjunction in formal logic?
disjunction, in logic, relation or connection of terms in a proposition to express the concept “or”; it is a statement of alternatives (sometimes called “alternation”).
What is disjunction function?
Disjunction is a binary truth-function, the output of which is a sentence true if at least one of the input sentences (disjuncts) is true, and false otherwise. Disjunction, together with negation, provide sufficient means to define all other truth-functions.
What is a disjunction critical thinking?
A disjunction is an “or” sentence. It claims that at least one of two sentences, called disjuncts, is true. For example, if I say that either I will go to the movies this weekend or I will stay home and grade critical thinking homework, then I have told the truth provided that I do one or both of those things.
What is the difference between disjunction and conjunction?
When two statements are combined with an ‘and,’ you have a conjunction. For conjunctions, both statements must be true for the compound statement to be true. When your two statements are combined with an ‘or,’ you have a disjunction.
What is the law of disjunction?
RULE OF INFERENCE: Disjunction. EXCLUDED MIDDLE INTRODUCTION. According to classical bi-valued logic, the disjunct of any sentence and its negation is always true, given that any given sentence must be either true or false.
What is a disjunction in critical thinking?
What does disjunction mean in logic?
In logic, disjunction is a binary connective (\(\vee\)) classically interpreted as a truth function the output of which is true if at least one of the input sentences (disjuncts) is true, and false otherwise.
What is disjunctive sentence?
disjunctive in American English
indicating a contrast or an alternative between words, clauses, etc. in “John or Bob may go, but their sister may not,” “or” and “but” are disjunctive conjunctions. 4. Logic.
What is the symbol of disjunction?
∨
With a conjunction, statements are connected by the word “and” while with disjunction statements are connected by the word “or.” The symbol for conjunction is ∧. This is a two-cell symbol of dot four followed by dots one four six. The symbol for disjunction is ∨.
What is the symbol used to represent disjunction?
Disjunction. The symbol ” ∨ ” signifies inclusive disjunction: a ∨ statement is true whenever either (or both) of its component statements is true; it is false only when both of them are false.
What is the opposite of disjunctive?
Antonyms. conjunctive whole same synonymous collective primary conventional. oppositive divisional adversative partitive contrastive.
What does ∨ mean in logic?
inclusive disjunction
The symbol ” ∨ ” signifies inclusive disjunction: a ∨ statement is true whenever either (or both) of its component statements is true; it is false only when both of them are false.
What is the difference between conjunction and disjunction?
What is disjunctive statement?
Definition: A disjunction is a compound statement formed by joining two statements with the connector OR. The disjunction “p or q” is symbolized by p q. A disjunction is false if and only if both statements are false; otherwise it is true. The truth values of p q are listed in the truth table below.
What is disjunctive function?
Under which conditions is a disjunction true?
On this interpretation, a disjunction is true if at least one of the disjuncts is true, false if both disjuncts are false, undefined otherwise.
What is the difference between disjunctive and conjunctive?
The word “and” is conjunctive, meaning it combines things. Conversely, the word “or” is disjunctive, meaning it separates things. Because the phrase “and/or” can reasonably be construed as conjunctive and disjunctive at the same time, it is inherently ambiguous.