- Title Pages
- Preface
- THE OXFORD HANDBOOK OF PHILOSOPHY OF MATHEMATICS AND LOGIC
- 1 Philosophy of Mathematics and Its Logic:
- A Priority and Application:
- Later Empiricism and Logical Positivism*
- Wittgenstein on Philosophy of Logic and Mathematics
- THE LOGICISM OF FREGE, DEDEKIND, AND RUSSELL
- Logicism in the Twenty‐first Century
- Logicism Reconsidered
- Formalism
- Intuitionism and Philosophy
- Intuitionism in Mathematics
- Intuitionism Reconsidered
- Quine and the Web of Belief
- Three Forms of Naturalism
- Naturalism Reconsidered
- Nominalism
- Nominalism Reconsidered
- Structuralism
- Structuralism Reconsidered
- Predicativity
- Mathematics—Application and Applicability
- Logical Consequence, Proof Theory, and Model Theory
- Logical Consequence: A Constructivist View
- Relevance in Reasoning
- No Requirement of Relevance
- Higher‐order Logic
- Higher‐order Logic Reconsidered
- Index

# No Requirement of Relevance

# No Requirement of Relevance

- Chapter:
- (p.727) No Requirement of Relevance
- Source:
- The Oxford Handbook of Philosophy of Mathematics and Logic
- Author(s):
### John P. Burgess (Contributor Webpage)

- Publisher:
- Oxford University Press

There are schools of logicians who claim that an argument is not valid unless the conclusion is relevant to the premises. In particular, relevance logicians reject the classical theses that anything follows from a contradiction and that a logical truth follows from everything. This chapter critically evaluates several different motivations for relevance logic, and several systems of relevance logic, finding them all wanting.

*Keywords:*
logic, validity, contradiction, logical truth, relevance logic

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- Title Pages
- Preface
- THE OXFORD HANDBOOK OF PHILOSOPHY OF MATHEMATICS AND LOGIC
- 1 Philosophy of Mathematics and Its Logic:
- A Priority and Application:
- Later Empiricism and Logical Positivism*
- Wittgenstein on Philosophy of Logic and Mathematics
- THE LOGICISM OF FREGE, DEDEKIND, AND RUSSELL
- Logicism in the Twenty‐first Century
- Logicism Reconsidered
- Formalism
- Intuitionism and Philosophy
- Intuitionism in Mathematics
- Intuitionism Reconsidered
- Quine and the Web of Belief
- Three Forms of Naturalism
- Naturalism Reconsidered
- Nominalism
- Nominalism Reconsidered
- Structuralism
- Structuralism Reconsidered
- Predicativity
- Mathematics—Application and Applicability
- Logical Consequence, Proof Theory, and Model Theory
- Logical Consequence: A Constructivist View
- Relevance in Reasoning
- No Requirement of Relevance
- Higher‐order Logic
- Higher‐order Logic Reconsidered
- Index