In this publication, I examine questions of the structure of knowledge
based on the conclusions of Kurt Gödel's theorems.
I believe these are crucial theorems
both for philosophy and for a general understanding
of the limits of existing knowledge.
"Gödel's second theorem states
that if formal arithmetic is consistent,
then no formula can be derived from it that substantively asserts
the consistency of this arithmetic."
.... Wikipedia.
Within the system of our description of reality,
we cannot ma…
Read moreIn this publication, I examine questions of the structure of knowledge
based on the conclusions of Kurt Gödel's theorems.
I believe these are crucial theorems
both for philosophy and for a general understanding
of the limits of existing knowledge.
"Gödel's second theorem states
that if formal arithmetic is consistent,
then no formula can be derived from it that substantively asserts
the consistency of this arithmetic."
.... Wikipedia.
Within the system of our description of reality,
we cannot mathematically rigorously prove
the veracity of our description of reality.
Even a consistent, logically sufficient description of reality
may leave out many aspects of reality.
I think this is a fairly rigorous interpretation.
What does this mean for philosophy
and for science in general?
In my opinion, science does not sufficiently consider
alternative possibilities
for finding new paths of development.
Modern science
in many respects
is focused on texts.
In particular, these are Large Language Models,
commonly referred to as AI.
There is a notion
that words "cover" the entire spectrum of Reality.
But at a deep level, this is not so.
By using words
to reflect on Reality,
we automatically follow in the footsteps
already formed
by previous Scientists.
Obviously, discovering something new
must be based not only on texts.
Achieving a pure perception of Reality is fundamentally important.
The question of describing experience
is also an important question,
but the description must be
based on the experience of perception.
New paths of development,
new knowledge,
are relevant in the natural sciences,
as well as in philosophy
and social sciences.
This is clearly evident in the case of quantum physics.
Quantum physics operates within a conceptual framework
distinct from that of classical physics.
The formal expressions of quantum physics
cannot be translated
into the expressions of the General Theory of Relativity.
An understanding of these issues
can help lead to
entirely new solutions
in physics and science in general,
including philosophy.
Edition July 23, 2026
Sergiy Chernyshov.