Introduction to a particular school of philosophy

So, where to begin?

Let’s start with circles.

The complex number is only a kind of cauchy sequence. In this sense, a circle is only made up by human imagination. A quite limiting one in fact.

What happens if you rotate a complex number?

forall c : R, exp(c * i) forall c : R, exp(c * sign(1+5i)) forall c : R, exp(c * 1) forall c : R, exp(c * sign(1-5i))

The complex number is not really special, nor is a circle. The +­−×÷ way of teaching about numbers instills a general lack of imagination. Mathematics itself would disprove this way of teaching. In fact, due to computational equivalence, everything one can imagine is reachable by mathematical concepts, as long as it has no bearing in the real world.

What about a quaternion?

erratum: the equation shown in the picture is maybe wrong

If you “rotate” a quaternion a full cycle, the sphere it projects will be inside out. You might have heard of this concept as “spin”. Again, the sphere is a phenomenon. An illusion. A man-made dogmatism.

With today’s advancement in science, I would have thought that the same spirit would apply to mathematics. The concept I showed here is as fundamental to mathematics as the Newton Method to physics. Instead, we have fields that try to legitimize themselves with superficial resemblence to mathematics. Some part of sociology included. Surely, human behave linearly, right?

No.

The school of philosophy by Epicurean, which Christianity sought to destroy, describes a world defined by natural laws. His philosophy still has relevance today, although is quite far from this one’s view.

A good philosophy is relevant to the world at present. I wonder what I’ll bring to the table.