The explanation of this strange, seemingly not at all scientific title is the writing itself.


As the saying goes, there is only a thin line between the genius and the insane.

This, however, is not true.

An insane person sees things that do not exist. A genius however can see things that do exist but others do not notice (or have not as yet noticed).

As non-geniuses cannot see things that geniuses can, or do not see things the same way, the latter are unfortunately often thought to be insane. (In the Middle Ages for example those who did not believe that the sun moved around the earth were considered to be insane, as everyone could see the sun ‘rise’ in the morning and ‘go down’ in the evening.)

Quite often, this phenomenon is present throughout one’s life, as it was in the case of the 19th century Hungarian physician Ignatius Semmelweiss, and usually the most that happens to such geniuses is that they are acknowledged by posterity. (This of course is not of any help to them, and often it is not to mankind at large either, for just consider how much these people could have given to the world, had they been helped in their lifetime.

For society to be able to handle better those being ‘out of line’, first it should be defined what is meant by “line”, and what the various ways of “being out of line” are. This is what the first part of this study aims to do.


Those who see the world from a different angle (people seeing differently), see a different side of things than average people. This makes them neither better nor worse.

According to another classification there are clever, average and dummy people. They see things that can be seen by their respective group better, just as or worse than average people do.

A third classification differentiates between sane and insane people. The sane see what can be seen of reality in the age they live in, while the insane see what exists in their imagination regardless of real facts. In other words, the insane see an imagined world.

Finally, there are geniuses, who are able to see beyond their own side. They do not see reality, and make it be seen, in a way that ignores real facts but in a way that is based on them and is nearer to reality than the knowledge of the times.

The above can also be described with the following simplified mathematical models:
If reality is function “y” of the variables x1and x2 (sides of reality),
y = f(x1, x2).

1 People who see their side with some kind of error: x1 + e1, with e standing for error.
1.1 In the case of the clever, ABS(c1) is smaller than ABS(e1), with c standing for clever.
1.2 In the case of the average, ABS(e1) = ABS(a1), with a standing for average.
1.3 In the case of the dummy, ABS(e1) is bigger than ABS(d1), with d standing for dummy.

2 Average people can see one side, x1, and people seeing differently can see the other side, x2.

3 The sane create an angle of reality from one of these sides (yx1 or yx2), while the insane create it without them (yf), with f standing for false.

4 Geniuses produce with a certain degree of accuracy the function describing “y” itself:
y = f(x1, x2) + d(x1, x2), with d standing for difference.

Dr. Endre Simonyi