Tertium Organum

world of causes 
relations can be logical from our point of view. On the contrary, we may say
that 
EVERYTHING LOGICAL 
is only phenomenal. 
On the other side
there can be 
nothing logical from our point of view. Everything that exists 
there
is bound 
to appear to us a 
logical absurdity, 
nonsense. And we must remember that we 
cannot orientate ourselves there 
with our logic. 

---

The attitude of human thought in its main trends to the 'world beyond' was always 
entirely wrong. 
The 'world beyond' of the spiritualists, in all the existing versions of it, is but a naive 
and primitive representation of the unknown. 
In 'positivism' people have denied the world beyond altogether, because, refusing to 
admit the possibility of logical relations other than those formulated by Aristotle and 
Bacon, people denied the 
very existence
of anything that appeared senseless and 
impossible from the point of view of these formulae. And in 'spiritualism' they 
attempted to build a noumenal world on the pattern of the phenomenal, i.e. against 
reason, in defiance of the forces of nature, they wanted at all costs to prove that the 
world beyond is 
logical from our point of view
, that the same laws of causation operate 
there as in our world, and that the world beyond is nothing more than a continuation of 
ours. 
Positivist philosophy saw the absurdity of dualistic theses, but, unable to widen the 
field of its activity limited by logic and the 'infinite sphere', it could not think of 
anything better than 
DENIAL
. 
Only mystical philosophy felt the possibility of relations other than these of the 
phenomenal world. But it dwelt on vague and nebulous sensations, unable to define or 
classify them. 
Science must come to mysticism, 
and then to the study of forms of consciousness ­
and consequently of perception - other than ours. Science must throw off almost 
everything old and must start from a new theory of cognition, for mysticism offers a 
new approach. 
Science cannot deny the fact that mathematics grows, widens and passes beyond the 
boundaries of the visible and measurable world. Whole sections of mathematics 
examine quantitative relations which do not exist and 
never existed
in the real world of 
positivism, i.e. relations to which there are no corresponding realities in the visible, i.e. 
the three-dimensional world. 
But there cannot be any mathematical relations for which there would be no 
corresponding realities at all. Consequently, mathematics transcends the boundaries of 
this world and peeps into the world of the unknown. It is a 
telescope
by means of 
which we begin to investigate the 
space of many dimensions
with its worlds. 
Mathematics goes in the vanguard of our thought, in the vanguard of our powers of 
imagination and representation. It 
already 
calculates relationships which we are totally 
incapable of imagining or even thinking about. 
All this cannot be denied even from the strictly 'positivist', i.e. 
positive
point of 
view. And, having admitted the possibility of widening the field of mathematics 
beyond the limits of the world 

---

known through the senses, i.e. beyond the limits of the world 
accessible
(be it only 
theoretically) to the organs of sense and to apparatus, science must, by this very fact, 
admit the expansion of the real world far beyond the limits of the 'infinite sphere' and 
logic. In other words it must recognize the reality of the 'world of many dimensions'. 
The recognition of the reality of the world of many dimensions is an