# 263: Certainty

Certainty |

Title text: a(b+c)=(ab)+(ac). Politicize that, bitches. |

## Explanation

Megan and Cueball are teachers at this comic, talking about their students and the political discussions with them. They outline that it's not possible to find the real truth. But then Cueball, interrupted by a harrumph of the mathematics teacher Miss Lenhart, states that Mathematics is an exception (because math can actually be *proved*, conclusively). Randall likes mathematics because there discussions as in politics are not possible.

The title text shows a simple valid mathematical equation, the left distributive law, and Randall is daring one to politicize it. But it's just impossible to discuss about equations like this; it is simply a clear statement.

## Transcript

- [A door seen from a hallway, with "Teachers' Lounge" on the glass. Inside, two teachers are talking.]
- Megan: My students drew me into another political argument.
- Cueball: Eh; it happens.
- Megan: Lately, political debates bother me. They just show how good smart people are at rationalizing.
- [The two teachers continue talking. A third one is seen reading a book on a sofa.]
- Megan: The world is so complicated - the more I learn, the less clear anything gets. There are too many ideas and arguments to pick and choose from. How can I trust myself to know the truth about anything? And if everything I know is so shaky, what on Earth am I doing teaching?
- Cueball: I guess you just do your best. No one can impart perfect universal truths to their students.
- Mrs. Lenhart:
*ahem* - Cueball: ...Except math teachers.
- Mrs. Lenhart: Thank you.

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# Discussion

This was done 6 years later by Fox News. 72.70.180.234 10:44, 31 May 2013 (UTC)

It's easy to politicize that. Abelians versus non-Abelians ;) Not all vector spaces will likely share the property seen there.67.204.136.58 23:34, 15 August 2013 (UTC)

If you flip ab + ac around, you end up with ac + ab which looks a lot like ACAB and that can get political very fast. 94.76.233.42 (talk) *(please sign your comments with ~~~~)*

Abelian means that ab = ba, but this distributive law is different. Both the distributive property and the Abelian property are assumed properties of numbers, i.e., accepted as true and used to prove more complicated properties. Non-Abelian examples of objects that "look" like numbers are not too hard to construct. One interesting example is where "a" abd "b" are rotating a book clockwise 90 degrees (a) and rotating the book forward 90 degrees (b). Start with the book facing you for reading and first do "a", then "b", which is written "ab". The result has the front of the book facing up. Now do "b" first, then "a", to get "ba". Now the binding of the book is facing up and the front of the book is facing to the right. So, "ab" is not "ba". The best I can think of for the distributive type of thing is for everything to make sense, except b+c is something for which multiplying by "a" is undefined.--DrMath 09:07, 22 November 2013 (UTC)

But what about cryptography? A mathematical topic, and hardly apolitical nowadays. However, I appreciate and enjoy Randall's sentiment about the purity of mathematics. 108.162.219.223 20:23, 17 January 2014 (UTC)

Politicize that? Easy. When you apply the same policies to a diverse group, the outcome differs from person to person. Just insert context and it can work in a wide range of situations. 108.162.246.211 02:12, 14 July 2014 (UTC)