# NPC: Fermat

**Location: **Arius Spellcasting Lounge Tavern & Inn

**Coordinates: **251, 33

Professor Fermat E. Aemonnas, an instructor of mathematics who is getting some work done sitting at the tavern in Arius.

## Speak the Words

Text may not be 100% complete. Most quest text is not included.

Due to multiple options when speaking, text below may not be in comprehensive order.

*You see this female gnome rapidly writing on her slate. She stops for a moment, wiEL-DB.compes off something with her handkerchief, then writes more, tongue out of her lips*

##### Hello

*She is startled by your call, and drops the slate on the table.* Oh my goodness! You scared me!. What's wrong with you? I'm not due for office hours, I'm sure... anything else I might help you with?##### Who are you?

Now, that's a strange way to approach someone. Officially I am Professor Fermat E. Aemonnas, B.Math, M.Sc., Ph.D, mul. But you can call me Fermat. Or, although I have no fixation with titles, maybe Professor Fermat would be more fitting, if my colleagues are around. They keep saying I'm too level with students.##### Professor

Yes dear. I teach Mathematics here at the school, and a monographic course on Arithmetic which is propedeutic to Arithmancy. And of course, other subjects: Proportions (which is propedeutic to Enlinkment), Advanced Geometry (which is propedeutic to Geomancy) and Principles of Cabal.##### Arithmetic

Arithmetic is the study of numbers as such, and of their natural properties. For example, everyone knows how addition works. But not many know that there are links between the properties of the addends, and the properties of the result. As I teach in Proportions, things in the world have links to numbers, and when things interact, the outcome will have links to the results of an operation between 'their' numbers.##### Arithmancy

You got the basics of Arithmetic? Then, Arithmancy teaches you how numbers can be used to predict the future. It requires pretty advanced math in truth. I usually have a simple example on first day of class: you know that the position of planets and stars influences our destiny; that's Astrology, Neptuna can tell you all about it.More

But we know that planets move according to certain laws, and their position at any time can be determined by a mathematical formula. Then, what is it really that influences our destiny: the planets themselves, or the numbers and computations that dictate their positions? If you ask me, planets are enlinked to numbers, and that explains it all.

##### Proportions

Numbers do not come alone; they are entangled in a system of proportions and relations. Numbers have meanings only because of their proportions to othEL-DB.comer numbers. Take for example a seemingly arbitrary number, 1729. Well, 1729 is the smallest number that is the sum of two cubes in two different ways.More

In fact, 1^3+12^3 = 1729 = 9^3+10^3. Hence, there is a special proportion between 1729, 1, 12, 9, 10 and 3. Moreover, no other set of numbers partakes in that same proportion. In the course, I teach how to interpret this fact. When you arrived I was working on 87539319.

##### Enlinkment

That's an advanced course, only the best students are admitted. They teach spells that enlink things on the real world to certain numbers, so that the real thing is forced to behave according to the number it has been enlinked to.More

Like, when you do summoning, summoned creatures are enlinked to the summoner's own number, the one established by Cabal, so that they are doomed to follow the summoner, and to -1, so their health declines in time. In a sense, we all are enlinked to -1, but more or less strongly. Of course, summoners see the matter differently...