Tertium Organum

motion 
in three-dimensional world is 
in actual fact
an abstraction. In 
the three-dimensional world there is no change, no motion. For the 
conception of motion we need a four-dimensional world. The three­
dimensional world does not exist in reality, or it exists only during one ideal 
moment. In another ideal moment there is already 
another
three-dimensional 
world. Consequently, magnitude A is no longer A the next moment, but 
becomes B; the next moment it is C and so on, 
ad infinitum. 
It is equal to
itself only during one ideal moment. In other words, within the limits of one 
ideal moment the axioms of mathematics are valid; for the comparison of two 
ideal moments they are only conditional, just as Bacon's logic is conditional 
compared to the logic of Aristotle. 
In time,
i.e. in relation to magnitudes 
which are variable from the point of view of the ideal moment, they are 
incorrect. 
The idea of constancy or variability is the outcome of the incapacity of our 
limited mind to know a thing otherwise than in the form of its section. But if 
we achieve the knowledge of a thing in four dimensions, say a human body
from birth to death, it will be a whole and 
constant
magnitude, a section of 
which we call the human body 
changing in time.
A moment of life, i.e. the 
body as we know it in the three-dimensional world, is a point on an infinite 
line. If we could know this body as a whole, we would know it as an 
absolutely constant 
magnitude with all its variety of forms, states and 
positions. But in that case the axioms of our mathematics would not be 
applicable to this constant magnitude, because it would be an 
infinite 
magnitude. 
This infinite magnitude we cannot know. We always know 
only its 
section.
And to this imaginary section of the universe belong our 
mathematics and logic. 

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CHAPTER 21 
Necessity of abandoning our phenomenal logic for a noumenal approach. Science 
must recognize that only through poetry and mysticism do we approach the world of 
causes. Preparation through faith and love are necessary to overcome the terror of 
infinity. The real meaning of 'Poor in spirit'. The 
Organon
of Aristotle, the 
Novum 
Organum
of Bacon and 
Tertium Organum
which, though often forgotten, existed 
before the others and is a key to the hidden side of life. Necessity of discarding our 
two-dimensional 'idols' and attempting to enumerate the properties of the 
world of 
causes. 
Everything said about mathematical magnitudes refers also to logical 
concepts. 
Finite
mathematical magnitudes and 
logical
concepts are subject to 
the same laws. 
We have now made it clear that laws discovered by us in three-dimensional 
space and operating in this space are inapplicable, incorrect and untrue in a 
space of a greater number of dimensions. 
This is equally true in mathematics and in logic. 
As soon as, instead of finite and constant magnitudes, we begin to examine 
infinite and variable magnitudes, we see that the fundamental axioms of our 
mathematics cannot refer to them. 
And as soon as, instead of concepts, we being to think in other terms, we 
must be prepared to meet with an enormous number of absurdities 
from the 
point of view of existing logic.
They would seem absurdities to us because we approach the many­
dimensional world with the logic of the three-dimensional world. 
It was shown earlier that for an animal, i.e. for a two-dimensional being
thinking not by concepts but by representations, our logical propositions are 
bound to seem absurd. 
The 
logical
relations in the world of many dimensions appear just as absurd 
to us. There is no reason whatever for hoping that in the