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DISCRETE MATH: LECTURE 3 DR. DANIEL FREEMAN 1. Chapter 2.2 Conditional Statements If p and q are statement variables, the conditional of q by p is "If p then q" or "p implies q" and is denoted p !q. It is false when p is true and q is false; otherwise it is true. We call p the hypothesis (or antecedent) of the conditional and q the


Discrete Mathematics - Propositional Logic - The rules of mathematical logic specify methods of reasoning mathematical statements. Greek philosopher, Aristotle, was the pioneer of logical reasoning. Logica


Discrete Mathematics Online Lecture Notes via Web. The compound proposition implication. p q. is a conditional statement, and can be read as ''if p then q'' or ''p implies q''.Its precise definition is given by the following truth table


Definition: A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion. A truth table for p q is shown below.


In discrete mathematics, we almost always quantify over the natural numbers, 0, 1, 2, …, so let's take that for our domain of discourse here. For the statement to be true, we need it to be the case that no matter what natural number we select, there is always some natural number that is strictly smaller.


Easily the most common type of statement in mathematics is the conditional, or implication. Even statements that do not at first look like they have this form conceal an implication at their heart. Consider the Pythagorean Theorem. Many a college freshman would quote this theorem as “\(a^2 + b^2 = c^2\text{.}\)” This is absolutely not correct.


Conditional statements explanation. Ask Question Asked 5 years, 3 months ago. Active 5 years, ... Browse other questions tagged discrete-mathematics logic or ask your own question. ... Need to prove that a conditional statement is a tautology. 2.


Universal Statements are those statements that hold true for all elements of a set. They describe ideas that are valid for all elements within the context. And therefore, we often finds words like "given any" or "for all" in such statements. The presence of these keywords can lead us to a safe assumption that the statement is universal.