Vacuously True Statements

Learning Objectives: Determine when a conditional statement is vacuously true A conditional statement of the form "if P then Q" is called vacuously true whenever P is false. This might seem counterintuitive, but consider the reverse. The conditional "if P then Q" is false whenever the assumption P is true and the conclusion Q is false. So when the assumption is false it doesn't matter what the conclusion is, and we call the conditional true, but in a vacuous sense. **************************************************** ►Full Course Playlist: DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS **************************************************** Other Playlists: ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 ► Want to learn math effectively? Check out my "Learning Math" Series: https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw ►Want some cool math? Check out my "Cool Math" Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho ***************************************************** YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems! **************************************************** ►Follow me on Twitter: http://twitter.com/treforbazett This video was created by Dr. Trefor Bazett