Arxe Logic

Definition of Act (ArXe) or Istence

1. Logic:
The act is the moment of pure actuality, what occurs beyond possibility, that is, what cannot be possible because it is already an indivisible instant.
It is represented as:

$$\text{Act} := S \land \neg S$$

• It is contradictory, because it simultaneously “is” and “is not” in logical terms.

• It lacks truth and possibility, since it does not project or sustain itself outside itself.

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2. Physics: minimal act

• The minimal act lacks existence and temporality

• It is the indivisible point where time and space have not yet unfolded, a “flash” of the present instant.

• It is the basis from which ex-istence or unfolded existence emerges.

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3. Symbolic / Philosophical:

• The act is the pure act of being-now, the immediate and absolute, which does not need nor can it rely on possibility or truth.

• It is istence, the indivisible “this” that precedes any projected reality.

• In this sense, everything that unfolds or becomes consistent (existence, ex-istence) emerges from the negation of this pure act.

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4. Powerful verbal synthesis:

The act is indivisible and contradictory actuality; the instant where the possible collapses into the actual, where ‘this’ simultaneously is and is not, allowing the emergence of possibility and existence.

Dimension	Istence (act)	Ex-istence (non-istence)
Logic	(S ∧ ¬S) (pure contradiction)	(¬(S ∧ ¬S)) (possible consistency)
Truth	Non-true	Can be true/false
Possibility	Non-possible	Possible
Mode	Actual (absolute now)	Projective (possible future and past)
Physics	Has no physical existence	Space-time emerging from tp
Existential symbol	“This” (ἴστος / istos → this instant)	“Ex-” (outside, unfolding from the instant)