## The Ways of Paradox, and Other EssaysA respected Harvard logician and philosopher gathers together twenty-nine writings dealing with the foundations of mathematics, Rudolf Carnap, lin-guistics, truth, analyticity, modal logic, propositional attitudes, and ontology |

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### Contents

The Ways of Paradox 1961 | 1 |

On a Supposed Antinomy 1952 | 19 |

Foundations of Mathematics 1964 | 22 |

On the Application of Modern Logic 1960 | 33 |

Homage to Rudolf Carnap 1970 | 40 |

Logic as a Source of Syntactical Insights 1960 | 44 |

vagaries of Definition 1972 | 50 |

Linguistics and Philosophy 1968 | 56 |

Quantifiers and Prepositional Attitudes 1955 | 185 |

A Logistical Approach to the Ontological Problem 1939 | 197 |

On Carnaps Views on Ontology 1951 | 205 |

Ontological Reduction and the World of Numbers 1964 | 212 |

On Mental Entities 1952 | 221 |

The Scope and Language of Science 1954 | 228 |

Posits and Reality 1955 | 246 |

On Simple Theories of a Complex World 1960 | 255 |

The Limits of Knowledge 1972 | 59 |

Necessary Truth 1963 | 68 |

Truth by Convention 1935 | 77 |

Carnap and Logical Truth 1954 | 107 |

Implicit Definition Sustained 1964 | 133 |

Mr Strawson on Logical Theory 1953 | 137 |

Three Grades of Modal Involvement 1953 | 158 |

Reply to Professor Marcus 1962 | 177 |

On Multiplying Entities 196674 | 259 |

Ontological Remarks on the Propositional | 265 |

The Variable 1972 | 272 |

Algebraic Logic and Predicate Functors 1970 | 283 |

Truth and Disquotation 1970 | 308 |

323 | |

329 | |

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### Common terms and phrases

abbreviation adjective algebra analytic antinomy applied arithmetic becomes Boolean bound variables Carnap clauses complex construed contexts defined degree disq disquotation distinction elementary logic elimination entities example existential quantification extensionality false falsehood formal formulas Frege's functor further geometry identity idiom infer involving linguistic doctrine logic and mathematics logic of quantification logical expressions logical truth logicians meaning merely metalanguage modal logic modern logic names natural numbers necessity notation notion number theory observation occurrence ontological ontology opaque context ordinary language ordinary usage paradox paraphrase philosophical physical objects postulates predicate letters predicate-functor logic primitive principle propositional attitudes propositions question quotation real numbers reduce referentially opaque relation Schonfinkel's scientific semantical sense sequences set theory simply singular terms Strawson substitution suppose Tarski's theorem theory of deduction things tion traits true by convention truth definition truth functions truth values truth-functional universal quantification variables of quantification veridical paradox words