However, the second proposition would be false since a deck of cards has two black suites: clubs and spades - therefore, we are not necessarily guaranteed that pulling a black card will result in a club. The first conditional statement is true, that if we pull a club from a deck of cards, then that card will be black. It is imperative to note that order matters when determining the validity of a statement.įor example, let’s suppose we have the proposition: “If the card is a club, then it is black,” has a very different truth value than “if the card is black, then it is a club.” Symbolic Logic Statements Converse, Inverse, and Contrapositiveįurthermore, we will learn how to take conditional statements and find new compound statements in the converse, inverse, and contrapositive form. Notice that a conditional statement “if p then q” is false when p is true and q is false, and true otherwise as noted by Northern Illinois University. Here’s a typical list of ways we can express a logical implication: What is important to note is that the arrow that separates the hypothesis from the conclusion has countless translations. “Studying for the test is a sufficient condition for passing the class.” “If the sky is clear, then we will be able to see the stars.” “If it is sunny, then we will go to the beach.” Here are a few examples of conditional statements: In essence, it is a statement that claims that if one thing is true, then something else is true also. Let’s dive into today’s discrete lesson and find out how this works.Ī conditional statement represents an if…then statement where p is the hypothesis ( antecedent), and q is the conclusion ( consequent). Jenn, Founder Calcworkshop ®, 15+ Years Experience (Licensed & Certified Teacher)
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |