Predicate Logic and Popular Culture (Part 176): Game of Thrones

Let p be the proposition “You play the game of thrones,” let q be the proposition “You win,” and let r be the proposition “You die.” Translate the logical statement

p \Rightarrow (q \lor r).

This matches this quote from “Game of Thrones.”

green line

Context: 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.

Predicate Logic and Popular Culture (Part 175): Diana Ross and the Supremes

Let T(t) be the proposition “We are together at time t.” Translate the logical statement

\exists t > 0 (T(t)).

This matches this classic by Diana Ross and the Supremes.

green line

Context: 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.

Predicate Logic and Popular Culture (Part 174): Rocky IV

Let p be the proposition “He dies.” Translate the logical statement

p \Rightarrow p.

This famous tautology was uttered by Ivan Drago in Rocky IV.

green line

Context: 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.

Predicate Logic and Popular Culture (Part 173): Alicia Keys

Let P be the set of all people, let $T$ be the set of all things, and let W(x,y) be the proposition “x wants y.” Translate the logical statement

\exists x in P \forall y in T (W(x,y)).

Of course, this matches the first line in the chorus of this popular Alicia Keys song.

green line

Context: 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.

Calvin and Hobbes and math

Somebody had the brilliant idea of collecting all of the Calvin and Hobbes comic strips that were related to math: http://www.comicmath.com/calvin-and-hobbes-math-comics.html

See also the other comics: http://www.comicmath.com/comics.html

The Pythagorean theorem to five decimal places

Piers Morgan, mathematician extraordinaire:

I don’t know how to begin describing how his attempt at insulting the intelligence of one of the Love Island evictees went horribly wrong.

24601

Source: https://www.facebook.com/MathWithBadDrawings/photos/a.822582787758549/1999420776741405/?type=3&theater

Predicate Logic and Popular Culture (Part 172): Clement Clarke Moore

Let C be the set of all creatures, let H(x) be the proposition “x is in the house,” and let S(x) be the proposition “x is stirring.” Translate the logical statement

\forall x \in C (H(x) \Rightarrow \lnot S(x)).

Of course, this matches the first two lines of one of the most popular poems in the English language.

green line

Context: 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.

Predicate Logic and Popular Culture (Part 171): Hunter Hayes

Let P be the set of all people, and let H(x,y) be the proposition “x has y.” Translate the logical statement

\forall x \in P (x \ne I \Rightarrow \exists y \in P(H(x,y)) \land \forall y \in P (\lnot H(I,y)).

This matches the chorus of this song by Hunter Hayes.

green line

Context: 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.

Predicate Logic and Popular Culture (Part 170): Tim McGraw

Let T be the set of all times, let P be the set of all places, and let S(x,t) be the proposition “I will see you at place x at time $t$.” Translate the logical statement

\forall x \in P \forall t \in T (S(x,t)).

This matches the last line of the chorus from this classic song by Tim McGraw.

green line

Context: 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.