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Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity of its constituent propositions. In other words, a logical truth is a statement which is not only true, but one which is true under all interpretations of its logical components (other than its logical constants).
There are many interpretations of what the term statement means, but generally, it indicates either: a meaningful declarative sentence that is either true or false , or: a proposition. A proposition is an assertion that is made by (i.e., the meaning of) a true or false declarative sentence.
true with false and conjunction with disjunction. In classical logic , with its intended semantics, the truth values are true (denoted by 1 or the verum ⊤), and untrue or false (denoted by 0 or the falsum ⊥); that is, classical logic is a two-valued logic .
The statement A ∨ B is true if A or B (or both) are true; if both are false, the statement is false. n ≥ 4 ∨ n ≤ 2 ⇔ n ≠ 3 when n is a natural number. ⊕ ...
Logical equality (also known as biconditional or exclusive nor) is an operation on two logical values, typically the values of two propositions, that produces a value of true if both operands are false or both operands are true. The truth table for p XNOR q (also written as p ↔ q, Epq, p = q, or p ≡ q) is as follows:
The bool type is a byte-sized type that can only hold the value true or false. The only operators that can accept operands of type bool are: &, |, ^, &=, |=, ^=, !, &&, || and ?:. A bool value can be implicitly converted to any integral type, with false becoming 0 and true becoming 1. The numeric literals 0 and 1 can be implicitly converted to ...
True or False Questions About History. 96. Coca-Cola was the first soft drink in the United States. Answer: False – it was Dr Pepper. 97. Erik the Red was the uncle of famous explorer Leif Erikson.
Classical propositional logic is a truth-functional logic, [3] in that every statement has exactly one truth value which is either true or false, and every logical connective is truth functional (with a correspondent truth table), thus every compound statement is a truth function. [4] On the other hand, modal logic is non-truth-functional.