Glossary

ChessWithPass™ and the Ψ-System — the vocabulary of conscious inaction.

Core Concepts

Pass: The right of a player to skip one move per game. Not the absence of action, but a conscious decision not to intervene. Example: a player does not move in order not to worsen the position and to observe the opponent's response.
Pass Piece™: A special piece that represents the use of a pass. It does not participate in regular play but marks the moment of consciously skipping a move. Invented and designed by Alexey Fomin.
Conscious Pause: A moment when a player intentionally does not act. Not a weakness, but a form of control over the situation.
Space of Choice: The interval between stimulus and action, where freedom of decision arises.
Error of Mandatory Action: A situation where a move is made simply because “a move must be made.” Often leads to a worse position.
Moment Management: The ability to determine when to act and when not to. One of the key skills in ChessWithPass.

ΔA (Delta A): Change in the state of the system. Indicates whether the position has improved (ΔA > 0) or worsened (ΔA < 0).
E (Effort): The cost of action (energy, time, intervention). Any move E > 0; a pass E = 0.
Z (Significance of Result): The value of the outcome — how important the change is for the system. Checkmate → high Z; a minor positional improvement → low Z.
Ψ (Psi): Efficiency of a decision. The ratio of result to cost: Ψ = Z / E.
Limit Case of Ψ: When E → 0 and Z > 0, Ψ → ∞. This means a result is achieved without action.

Operator: An element of a system that changes its state or influences its further development.
Action Operator: An operator that changes the state of a system through action. Examples: addition, subtraction, multiplication, division, a chess move.
Pass Operator: A special case of the Pause Operator implemented within the chess system. An operator that influences the further development of a game without making a chess move. Example: a pass (skipping a turn) is a Pass Operator.
Pause Operator (P): An operator that influences the further development of a system through the conscious omission of an action. The state remains unchanged, yet the operator has been executed. It can exist anywhere — thinking, negotiations, politics, business, life, chess. Formalization of conscious inaction: P(x) = x — the state does not change, but a decision has been made.
Pass Singularity: A point where action is absent but a result is possible — a break in the classical logic of “action → result.”

Reactive Thinking: Automatic action in response to a stimulus, without pause or analysis.
Conscious Thinking: The ability to stop and choose an action. Includes pause as a tool.

Complex System: A system in which elements are interconnected, consequences are nonlinear, and actions produce chain effects.
Nonlinearity: A situation where the result is not proportional to the action. Small action → large effect, or vice versa.

Figures whose ideas inform the philosophy of the pause.

Albert Einstein: Physicist, creator of the theory of relativity. Viewed time as a fundamental component of reality.
Niels Bohr: One of the founders of quantum mechanics. Studied the role of paradox and complementarity in systems.
Werner Heisenberg: Formulated the uncertainty principle. Defined the limits of precise knowledge.
Isaac Newton: Founder of classical mechanics. Described the laws of motion and interaction.
Alan Turing: Pioneer of computation theory. Developed the concept of the algorithm.
Nicolaus Copernicus: Revolutionized the model of the universe by shifting its center.
Pythagoras: Philosopher and mathematician linking harmony to structure and number.

Socrates: Philosopher who questioned assumptions and exposed hidden contradictions.
Plato: Developed ideas of layered reality and higher forms of understanding.
Aristotle: Founder of formal logic and systematic thinking.
Immanuel Kant: Philosopher of freedom, autonomy, and moral choice.
Friedrich Nietzsche: Explored will, power, and the nature of human agency.
Thomas Aquinas: Integrated reason and will within a unified philosophical system.

Carl Jung: Explored the unconscious and inner structures of the mind.
Viktor Frankl: Developed the concept of meaning and freedom of choice under pressure.