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person1959-present

Nuel Belnap

Disciplines:
logic
philosophy of time
philosophy of action

Summary

American logician who developed branching-time logic, the stit (sees to it that) theory of action, and four-valued logic for reasoning with incomplete or inconsistent information.

Core Contribution

Stit theory: agentive sentences have the form 'agent sees to it that P' — a rigorous logical analysis of agency and responsibility. Branching time: time is tree-like with an open future; the actual future is one of many possible futures. Four-valued logic (with Dunn): True, False, Both, Neither — handles inconsistent databases without explosion.

Key Spikes & Highlights

  • The stit operator — 'agent sees to it that P' — enables a rigorous formal treatment of moral responsibility: you are responsible for P only if you stit P.
  • Four-valued logic solves a real problem in computer science: if a database contains P and also not-P (contradiction), classical logic allows derivation of anything (explosion) — Belnap's four values allow reasoning to continue under inconsistency.

Notable Works & Achievements

The Logic of Questions and Answers

Entailment: The Logic of Relevance and Necessity

Facing the Future

Historical Influences

Alan Ross Anderson Arthur Prior

Intellectual Lineage

Analytic Logic Philosophy of Action

Contemporaries & Peers

Alan Ross Anderson Arthur Prior

Minds Influenced

John Horty Ming Xu Deontic Logic Research

Intellectual Posterity

Stit Logic Branching Time LogicParaconsistent Logic

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