# Predicate Logic and Popular Culture (Part 52): Peabo Bryson

Let $A(t)$ be the proposition “You are in my arms at time $t$,” and let $H(x)$ be the proposition “I hold you at time $t$.” Translate the logical statement

$(\exists t_1<0(A(t_1)) \land ( (\exists t_2>0 A(t_2)) \Rightarrow (\forall t \ge t_2(H(t)))$,

where the domain is all times and time 0 is now.

The straightforward way of translating this into English is, “There was a time in the past that you were in my arms, and if there exists a time that you are in my arms in the future, then I will hold you for all times after that.” More poetically, this is one of the lines of one of the great R&B love songs of the 1980s.

Context: 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.

## One thought on “Predicate Logic and Popular Culture (Part 52): Peabo Bryson”

This site uses Akismet to reduce spam. Learn how your comment data is processed.