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Foundations of Logico-Linguistics

A Unified Theory of Information, Language, and Logic

  • Authors
  • William S. Cooper

Part of the Synthese Language Library book series (SLAP, volume 2)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. William S. Cooper
    Pages 1-12
  3. William S. Cooper
    Pages 13-46
  4. William S. Cooper
    Pages 47-67
  5. William S. Cooper
    Pages 68-89
  6. William S. Cooper
    Pages 90-123
  7. William S. Cooper
    Pages 124-131
  8. William S. Cooper
    Pages 132-157
  9. William S. Cooper
    Pages 212-241
  10. Back Matter
    Pages 242-249

About this book

Introduction

In 1962 a mimeographed sheet of paper fell into my possession. It had been prepared by Ernest Adams of the Philosophy Department at Berkeley as a handout for a colloquim. Headed 'SOME FALLACIES OF FORMAL LOGIC' it simply listed eleven little pieces of reasoning, all in ordinary English, and all absurd. I still have the sheet, and quote a couple of the arguments here to give the idea. • If you throw switch S and switch T, the motor will start. There­ fore, either if you throw switch S the motor will start, or, if you throw switch T the motor will start . • It is not the case that if John passes history he will graduate. Therefore, John will pass history. The disconcerting thing about these inferences is, of course, that under the customary truth-functional interpretation of and, or, not, and if-then, they are supposed to be valid. What, if anything, is wrong? At first I was not disturbed by the examples. Having at that time consider­ able personal commitment to rationality in general and formal logic in par­ ticular, I felt it my duty and found myself easily able (or so I thought) to explain away most of them. But on reflection I had to admit that my expla­ nations had an ad hoc character, varying suspiciously from example to example.

Keywords

Case Studies computer conjunctions construction foundation fragment future logic methodology pragmatics probability reason semantic semantics syllogism

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-9820-9
  • Copyright Information Springer Science+Business Media B.V. 1978
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-277-0876-2
  • Online ISBN 978-94-009-9820-9
  • Series Print ISSN 0924-4662
  • Buy this book on publisher's site