Entity: Scissors

Module: Rock_Paper_Scissors
Triadic Position: Thirdness
ID: scissors

1. Triadic Definition#

Scissors occupies the Third position in the RPS triad. Thirdness is the mode of being defined by mediation, law, habit, and sign — it brings First and Second into relation. Scissors is the only entity that is itself a dyadic structure (two blades) operating as a unity. Its power is differentiation: it cuts, divides, and produces distinct edges. Scissors is the sign-vehicle of the triad.

1.1 Positional Semantics#

Dimension	Value
Peirce Mode	Thirdness
Quality	Precision, differentiation, cutting, duality-in-unity
Modality	Mediation; law-like regularity; habit-formation
Sign-type	Legisign (general rule or type as sign)
Phenomenology	Thirdness as synthesis; brings relation into act

1.2 Formal Triadic Slot#

Triadic(Scissors) = <First=∅, Second=∅, Third=Scissors>
  → Scissors as mediating node; defined by the rule it instantiates
  → Affordance for dominance: over Paper (cuts/differentiates mediation)
  → Vulnerability to immediacy: by Rock (crushes the mechanism of distinction)

2. Relational Profile#

Relation	Partner	Outcome	Sign Value	Mechanism
Dominates	Paper	Win	`+1`	Cut (differentiation severs coverage)
Dominated by	Rock	Loss	`-1`	Crush (force destroys precision)
Symmetric	Scissors	Draw	`0`	Equal differentiation

3. Agentic Properties#

agent_choice:
  entity: scissors
  risk_against: rock
  reward_against: paper
  nash_weight: 0.333
  heuristic_bias:
    - exploitation: optimal response to Paper-heavy opponents
    - meta_reasoning: advanced players who anticipate "counter Rock with Paper" choose Scissors
    - frequency: ~32.9% empirically by novice players

Scissors as Thirdness also models habit detection: identifying and cutting an opponent's repeated behavioral pattern is structurally Scissor-like.

4. Triadic Encoding#

{
  "id": "scissors",
  "label": "Scissors",
  "triadic_position": "Thirdness",
  "peirce_sign_type": "Legisign",
  "beats": ["paper"],
  "beaten_by": ["rock"],
  "draws": ["scissors"],
  "outcome_vector": { "vs_rock": -1, "vs_paper": 1, "vs_scissors": 0 },
  "qualitative_descriptors": ["precise", "differentiating", "mediating", "dual", "cutting"],
  "agentic_weight_nash": 0.333
}

5. Cross-References#

entities/Paper.md · entities/Rock.md · relations/dominance.md · agentic/agent_protocol.md