2.1: Propositions - Mathematics LibreTexts
In mathematics, we are interested in statements that can be proved or disproved. We define a proposition (sometimes called a statement, or an assertion) to be a sentence that is either true or false, but not both.
Propositional Logic - Definition & Truth Table - GeeksforGeeks
Nov 18, 2024 · Propositional logic is a branch of mathematics that studies the logical relationships between propositions (or statements, sentences, assertions) taken as a whole, and connected via logical connectives.
3.1: Propositions and Logical Operators - Mathematics LibreTexts
Aug 17, 2021 · A proposition is a sentence to which one and only one of the terms true or false can be meaningfully applied. “Four is even,”, “ 4 ∈ {1, 3, 5} 4 ∈ {1, 3, 5} ” and “ 43> 21 43> 21 ” are propositions. In traditional logic, a declarative statement with a definite truth value is considered a proposition.
Proposition -- from Wolfram MathWorld
Jan 14, 2025 · A proposition is a mathematical statement such as "3 is greater than 4," "an infinite set exists," or "7 is prime." An axiom is a proposition that is assumed to be true. With sufficient information, mathematical logic can often categorize a proposition as true or false, although there are various exceptions (e.g., "This statement is false").
Propositions - Educative
What is a proposition? In simple words, a proposition is a statement with specific properties. These properties of the statement include that it must assert or declare something, and it should be either true or false but not both at the same time.
Discrete Mathematics - Propositional Logic
A proposition is a collection of declarative statements that has either a truth value "true” or a truth value "false". A propositional consists of propositional variables and connectives. We denote the propositional variables by capital letters (A, B, etc).
A proposition is a statement to which it is possible to assign a value of either true or false. Example 1. Consider the statement. Mary Radcli e is my 21-127 Professor. This is a proposition. The statement has a truth value: in particular, if you are enrolled in this class, it is true, and if you are not, it is false.
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