From the blog "Mean Green Math - Explaining the "whys" of mathematics" by blogger Mr. John Quintanilla" comes from within memory, the first Dino-mathematical proposition "Predicate Logic and Popular Culture (Part 6): Dean Martin." Well, the word "Green" is part of Mr. Quintanilla's blog tag and likes red and green are the traditional colors accentin' this wintery season...so, let's just use that are our official reason for sharin' this post this Dino-day!
Mr. Quintanilla's bio tells us that he is "Professor in the Department of Mathematics at the University of North Texas, located in Denton, Texas." And he 'plains how Mean Green is appro for a blog 'bout math..."Indeed, the title of this blog acknowledges one of the symbols of UNT, the Mean Green."
Likes as we sez, we can't ever remember havin' a mathematical Dino-post before, and we find it so so refreshin' that even the scholarly subject of math has come under the insightful influence of our most beloved Dino. We thinks all youse Dino-holics will greatly groove on Quintanilla's logic in mixin' math with the quintessential Dino-croon "Everybody Loves Somebody Sometime"...we knows we surely do!
Likes we bets that many of us pallies woulda certainly dug our math mucho more if our one and only Dino had been added into the equation, and we are particularly pleasured to say our thoughtful thanks to Mr. John Quintanilla for this newest and coolest way of sharin' our awesomely amazin' Dino in an edifyin' educational setting. To checks this out in it's original format, simply clicks on the tag of this here Dino-report. Dino-multiplied, DMP
Predicate Logic and Popular Culture (Part 6): Dean Martin
This semester, I taught discrete mathematics for the first time. Part of the discrete mathematics course includes an introduction to predicate and propositional logic for our math majors. As you can probably guess from their names, students tend to think these concepts are dry and uninteresting even though they’re very important for their development as math majors.
In an effort to making these topics more appealing, I spent a few days mining the depths of popular culture in a (likely futile) attempt to make these ideas more interesting to my students. In this series, I’d like to share what I found. Naturally, the sources that I found have varying levels of complexity, which is appropriate for students who are first learning prepositional and predicate logic.
When I actually presented these in class, I either presented the logical statement and had my class guess the statement in actual English, or I gave my students the famous quote and them translate it into predicate logic. However, for the purposes of this series, I’ll just present the statement in predicate logic first.
Let L(x,y,t) be the proposition “x loves y at time t.” Translate the logical statement
\forall x \exists y \exists t L(x,y,t),
where the domain for x and y is all people and the domain for t is all times.
The clunky way of translating this into English is, “For every person, there exists a person and a time so that the first person loves the second person at that time.” But it sounds a lot better when Dean Martin sings it.