The Principle of Falsifiability of Distinguishability

Related concepts: distinction, form, axiom, verification, “illusion” as a rhetorical operation.

Main Formula

If a subject asserts the universality of category A, they must specify what possible distinction would compel them to acknowledge the existence of not-A.

A short testing question:

What would have to be distinguished for your category to cease to be universal?

Or even more directly:

What would have to happen for you to say: “This is no longer A”?

The principle applies to assertions of the form:

only A exists
everything is A
every X belongs to A
nothing other than A can exist

It does not assume that the subject already recognizes two categories, A and B. It tests an earlier and stronger assertion: the claim that one category exhausts everything possible within the domain under consideration.

What Exactly Is Being Tested

Let:

U = the domain of events under consideration
A = a category

The universal assertion has the form:

∀x ∈ U: x ∈ A

That is, every possible event x is assigned to A in advance.

For this to be an assertion derived from cognition of reality, the subject must allow for the distinguishability of a state:

∃x ∈ U: x ∉ A

This does not require not-A to have already been discovered, or the subject to know a second category in advance. It requires only specifying what would have to be distinguished such that assigning the event to A would become impossible without changing the content of the category itself.

X occurs
→ the subject distinguishes features P, Q, R in X
→ these features are incompatible with A
→ X is recognized as not-A
→ the universality of A is refuted

If no possible combination of features, no event, and no experience can lead to the final line, the universality of A is not tested against reality.

The Principle Does Not Require a Preexisting `not-A`

Falsifiability of distinguishability does not mean that the subject must create a second positive category B in advance.

The initial knowledge may look like this:

A = all known cases
not-A = not yet discovered

But the subject can specify:

if X occurs with properties P, Q, R,
I will be unable to assign X to A
and will acknowledge that A does not exhaust the domain

Then not-A has not yet been discovered, but the distinguishability of the limit of A already exists.

The principle requires not a ready-made alternative theory, but openness of a category to an event that turns out to lie beyond its limits.

A Distinction Already Made Does Not Need to Be Revised

The primary act of distinction establishes non-identity:

A ≠ B

If the subject has distinguished A and B, the act of distinction has already taken place. It is not a hypothesis that a future event must overturn.

The appearance of C does not move the boundary between A and B and does not destroy the distinction that was made:

A ≠ B
A ≠ C
B ≠ C

A new act of distinction adds a new difference. It need not revise the previous one.

What is tested is not the fact:

A and B have been distinguished

but the additional claim:

A and B exhaust everything possible

However, it is sufficient for the principle to examine an even more fundamental form of that claim:

only A exists

Therefore, the demand to “revise the boundary” was mistaken. The boundary is the result of a distinction. What is falsified is not the distinction, but the assertion of the universality of a category created on its basis.

The Self-Closing Category

A closed construction works like this:

the subject asserts: only A exists
→ X₁ occurs: this is A
→ X₂ occurs: this is also A
→ something incompatible with the previous content of A occurs
→ it is declared a special kind of A
→ the content of A is expanded
→ the thesis “only A exists” is declared confirmed

The result is an absorption machine:

A
↓
something incompatible with A is encountered
↓
the content of A is changed
↓
the incompatible thing also becomes A
↓
the universality of A is considered preserved

Within such a construction, reality cannot tell the subject anything about the completeness of the category. The answer is built into the classification procedure in advance.

X → A
not-X → A
unknown X → hidden A
contradiction of A → a special variety of A
experience of not-A → an illusion produced by A

This is not the discovery of a single category. It is a total form of assigning one name to every possible difference.

If no possible difference can fall outside a category, its universality has not been discovered in reality but established through the method of classification.

Changing a Definition Is Not Confirmation

A new event may not fit the original content of A. If the subject subsequently expands the definition of A, they create a new categorical form:

A₁ = original content of the category
X is incompatible with A₁
A₂ = expanded category that includes X

The fact that X belongs to A₂ does not entail that X always belonged to A₁. The universality of the original category was destroyed. It was replaced by another category, and that replacement was concealed by retaining the same name.

A category is not confirmed by an event that could be absorbed only after changing the category’s content.

Definition and Assertion About Reality

A rule of usage that has been created must be distinguished from an assertion about the structure of reality.

Definition

All bachelors are unmarried.

Here the subject has assigned a use to the word “bachelor.” When encountering a married man, they will not call him a bachelor. Such a construction describes a created linguistic form, not a discovery that reality permits only a certain kind of man.

Assertion About Reality

All events have only deterministic causes.

Here a category is presented as the discovered structure of events. Therefore, one cannot simultaneously assert:

this is a discovery about reality
and
no possible structure of reality can show the opposite

If “event” is effectively defined as “something deterministic,” the theory does not discover the determinism of events. It introduces a rule:

event := deterministic event

A definition, axiom, or rule may organize a form created by the subject. They prove nothing about reality. When an assigned rule is presented as the discovered structure of reality, the subject falsely attributes their own operation to reality.

Example: Total Determinism

The following is asserted:

All actions of a subject are completely determined.

Testing question:

What action would have to be distinguished for you to acknowledge that this action is not determined?

Or:

Name a condition under which you would refuse to assign an action to the category “determined.”

If the answer is:

Such a condition cannot exist, because every action is determined by definition,

then what we have is not the result of investigating actions, but a closed system of axioms:

action = determined action

No future action can tell this system anything about determinism, because the answer is already built into the category in advance.

The subject’s direct experience already presents a counter-distinction. The subject distinguishes:

alternatives for action held simultaneously;
continuation and stopping;
action and refusal to act;
following a motive and acting against it;
examining possible courses of action;
changing the very basis of choice;
the action performed as one’s own act.

If the determinist model declares all this experience an illusion solely because its category does not admit undetermined action, it does not explain the counter-distinction. It eliminates it through its own foundation:

determinism is accepted in advance
→ the subject distinguishes openness in their own action
→ this distinction is incompatible with determinism
→ the distinction is declared an illusion produced by determinism
→ the universality of determinism is considered preserved

This is self-closure, not a test of the category’s universality.

Example: Freedom as an Illusion

The following is asserted:

The experience of freedom is an illusion.

Testing question:

What distinction would compel you to acknowledge that the experience of freedom is not an illusion?

If no possible experience, action, or relation of a subject to their own action can fall outside the category “illusion,” the word no longer distinguishes anything. It means only:

Everything that contradicts the accepted model is classified as an illusion in advance.

In this usage, “illusion” becomes not a cognitive category, but a defensive label of a closed form.

Types of Counter-Distinction

A counter-distinction is a difference that cannot be assigned to a universal category without changing that category’s content.

Empirical observation is only one possible source of counter-distinction.

Logical

A contradiction or an impermissible inference is discovered within the accepted system.

accepted foundations
→ conclusion A
→ simultaneously conclusion not-A

Conceptual

A category loses its content, is expanded after every objection, or one word begins to be used with different meanings.

Structural

A category absorbs incompatible structures, levels, or directions of dependence only because they were first renamed.

Phenomenal

A distinction directly held by a subject is incompatible with the model that is supposed to describe the subject’s experience.

A phenomenal counter-distinction destroys the claim that the category is universal. Declaring a direct distinction an illusion does not restore universality if the alleged illusoriness itself is derived only from the accepted category.

Empirical

An observation or experiment produces a result incompatible with the assertion under previously accepted conditions of testing.

Ontological

A theory eliminates or declares nonexistent a distinction whose very possibility the theory itself already presupposes.

For example, a theory declares every distinction an illusion but continues to distinguish between what is true and what is illusory.

Relation to Popper

Popper’s criterion asks which possible empirical result is incompatible with a scientific theory.

The principle of falsifiability of distinguishability asks an earlier and broader question:

Can reality distinguish itself for you at all in a way that would destroy the universality of your category?

Empirical falsification becomes a particular case of counter-distinction.

This principle does not turn every mode of cognition into experimental science, nor does it declare empirical evidence to be the only source capable of refuting the universality of a category.

A Closed Universal Category Is False

If no possible difference is capable of showing the existence of not-A, the universality of A is false as an assertion about the structure of reality.

The reason is not that the subject is obliged to present a ready-made category B in advance. The reason is that the uniqueness of A has not been discovered:

the subject asserts that A exhausts domain U
→ no possible difference can be recognized as not-A
→ every difference is absorbed by A in advance
→ reality does not participate in establishing the universality of A
→ the universality of A is created by the form of the assertion

Definitions, axioms, and the rules of formal systems do not constitute exceptions to the principle. They are rules of form created by the subject, not distinctions discovered in reality.

definition
→ the subject assigns the use of a term

axiom
→ the subject assigns the initial foundation of a system

rule
→ the subject assigns a permissible transition within a form

These constructions prove nothing about reality. If the subject openly presents them as created rules, they are describing their own form. If they present them as foundations found in reality itself, they falsely attribute their own operation to reality.

Axiomatic fixation does not prove the universality of a category. It identifies the point at which the subject stopped distinguishing reality and prescribed the admissible result in advance.

The principle does not grant a closed category an intermediate status of “possibly true.” Accidental correspondence between an introduced form and reality is not knowledge: the subject is still unable to distinguish correspondence from non-correspondence.

Practical Set of Questions

When encountering the assertion “only A exists,” ask:

What domain of events does the assertion cover?
Which category is declared universal?
What would have to be distinguished for the subject to acknowledge the existence of not-A?
Which event would the subject refuse to assign to A?
Does the content of A remain unchanged when encountering an incompatible event, or is it expanded each time?
Is an inconvenient distinction declared an error, an illusion, or a hidden variety of A?
Is A a result of cognition, or a definition, axiom, or rule of a created form?
Can reality communicate anything at all against the universality of A?

Final Formula

In asserting that only A exists, the subject must be able to specify what possible distinction would compel them to recognize the existence of not-A.

The main testing question: