The Pragmatics of Truth
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A Companion to Analytic Philosophy
A Companion to Analytic Philosophy Blackwell Companions to Philosophy This outstanding student reference series offers a comprehensive and authoritative survey of philosophy as a whole. Written by today’s leading philosophers, each volume provides lucid and engaging coverage of the key figures, terms, topics, and problems of the field. Taken together, the volumes provide the ideal basis for course use, represent- ing an unparalleled work of reference for students and specialists alike. Already published in the series 15. A Companion to Bioethics Edited by Helga Kuhse and Peter Singer 1. The Blackwell Companion to Philosophy Edited by Nicholas Bunnin and Eric 16. A Companion to the Philosophers Tsui-James Edited by Robert L. Arrington 2. A Companion to Ethics Edited by Peter Singer 17. A Companion to Business Ethics Edited by Robert E. Frederick 3. A Companion to Aesthetics Edited by David Cooper 18. A Companion to the Philosophy of 4. A Companion to Epistemology Science Edited by Jonathan Dancy and Ernest Sosa Edited by W. H. Newton-Smith 5. A Companion to Contemporary Political 19. A Companion to Environmental Philosophy Philosophy Edited by Robert E. Goodin and Philip Pettit Edited by Dale Jamieson 6. A Companion to Philosophy of Mind 20. A Companion to Analytic Philosophy Edited by Samuel Guttenplan Edited by A. P. Martinich and David Sosa 7. A Companion to Metaphysics Edited by Jaegwon Kim and Ernest Sosa Forthcoming 8. A Companion to Philosophy of Law and A Companion to Genethics Legal Theory Edited by John Harris and Justine Burley Edited by Dennis Patterson 9. A Companion to Philosophy of Religion A Companion to African-American Edited by Philip L. -
" CONTENTS of VOLUME XXXVIII—1964 >•
" CONTENTS OF VOLUME XXXVIII—1964 >• it ARTICLES: pAGE Anderson, James F., Was St. Thomas a Philosopher? 435 Boh, Ivan, An Examination of Some Proofs in Burleigh's Propo- sitional Logic 44 Brady, Jules M., St. Augustine's Theory of Seminal Reasons.. 141 Burns, J. Patout, Action in Suarez 453 Burrell, David B., Kant and Philosophical Knowledge 189 Chroust, Anton-Hermann, Some Reflections on the Origin of the Term " Philosopher " 423 Collins, James, The Work of Rudolf Allers 28 Fairbanks, Matthew J., C. S. Peirce and Logical Atomism 178 Grisez, Germain G., Sketch of a Future Metaphysics 310 O'Brien, Andrew J., Duns Scotus' Teaching on the Distinction between Essence and Existence 61 McWilliams, James A., The Concept as Villain 445 Pax, Clyde V., Philosophical Reflection: Gabriel Marcel 159 Smith, John E., The Relation of Thought and Being: Some Lessons from Hegel's Encyclopedia 22 Stokes, Walter E., Whitehead's Challenge to Theistic Realism. ... 1 Tallon, Andrew, Personal Immortality in Averroes' Tahafut Al- Tahafut 341 REVIEW ARTICLE : O'Neil, Charles J., Another Notable Study of Aristotle's Meta physics 509 ill iv Contents of Volume XXXVIII DEPARTMENTS : PAGE Book Brevities 551 Books Received 133, 274, 415, 557 Chronicles: The Husserl Archives and the Edition of Husserl's Works 473 International Congresses of Philosophy in Mexico City.. 278 Progress Report: Philosophy in the NCE 214 The Secretary's Chronicle 80, 218, 358, 483 BOOK REVIEWS: Anderson, James P., Natural Theology: The Metaphysics of God 265 Austin, J. L., Philosophical Papers 125 Capek, Milec, The Philosophical Impact of Contemporary Physics 248 Caturelli, Alberto, La fdosofiu en Argentina actual 403 Crocker, Lester G., Nature and Cidture: Ethical Thought in the French Englightement 539 Dufrenne, Mikel, Language and Philosophy, transl. -
Against Logical Form
Against logical form Zolta´n Gendler Szabo´ Conceptions of logical form are stranded between extremes. On one side are those who think the logical form of a sentence has little to do with logic; on the other, those who think it has little to do with the sentence. Most of us would prefer a conception that strikes a balance: logical form that is an objective feature of a sentence and captures its logical character. I will argue that we cannot get what we want. What are these extreme conceptions? In linguistics, logical form is typically con- ceived of as a level of representation where ambiguities have been resolved. According to one highly developed view—Chomsky’s minimalism—logical form is one of the outputs of the derivation of a sentence. The derivation begins with a set of lexical items and after initial mergers it splits into two: on one branch phonological operations are applied without semantic effect; on the other are semantic operations without phono- logical realization. At the end of the first branch is phonological form, the input to the articulatory–perceptual system; and at the end of the second is logical form, the input to the conceptual–intentional system.1 Thus conceived, logical form encompasses all and only information required for interpretation. But semantic and logical information do not fully overlap. The connectives “and” and “but” are surely not synonyms, but the difference in meaning probably does not concern logic. On the other hand, it is of utmost logical importance whether “finitely many” or “equinumerous” are logical constants even though it is hard to see how this information could be essential for their interpretation. -
Truth-Bearers and Truth Value*
Truth-Bearers and Truth Value* I. Introduction The purpose of this document is to explain the following concepts and the relationships between them: statements, propositions, and truth value. In what follows each of these will be discussed in turn. II. Language and Truth-Bearers A. Statements 1. Introduction For present purposes, we will define the term “statement” as follows. Statement: A meaningful declarative sentence.1 It is useful to make sure that the definition of “statement” is clearly understood. 2. Sentences in General To begin with, a statement is a kind of sentence. Obviously, not every string of words is a sentence. Consider: “John store.” Here we have two nouns with a period after them—there is no verb. Grammatically, this is not a sentence—it is just a collection of words with a dot after them. Consider: “If I went to the store.” This isn’t a sentence either. “I went to the store.” is a sentence. However, using the word “if” transforms this string of words into a mere clause that requires another clause to complete it. For example, the following is a sentence: “If I went to the store, I would buy milk.” This issue is not merely one of conforming to arbitrary rules. Remember, a grammatically correct sentence expresses a complete thought.2 The construction “If I went to the store.” does not do this. One wants to By Dr. Robert Tierney. This document is being used by Dr. Tierney for teaching purposes and is not intended for use or publication in any other manner. 1 More precisely, a statement is a meaningful declarative sentence-type. -
Notes on Mathematical Logic David W. Kueker
Notes on Mathematical Logic David W. Kueker University of Maryland, College Park E-mail address: [email protected] URL: http://www-users.math.umd.edu/~dwk/ Contents Chapter 0. Introduction: What Is Logic? 1 Part 1. Elementary Logic 5 Chapter 1. Sentential Logic 7 0. Introduction 7 1. Sentences of Sentential Logic 8 2. Truth Assignments 11 3. Logical Consequence 13 4. Compactness 17 5. Formal Deductions 19 6. Exercises 20 20 Chapter 2. First-Order Logic 23 0. Introduction 23 1. Formulas of First Order Logic 24 2. Structures for First Order Logic 28 3. Logical Consequence and Validity 33 4. Formal Deductions 37 5. Theories and Their Models 42 6. Exercises 46 46 Chapter 3. The Completeness Theorem 49 0. Introduction 49 1. Henkin Sets and Their Models 49 2. Constructing Henkin Sets 52 3. Consequences of the Completeness Theorem 54 4. Completeness Categoricity, Quantifier Elimination 57 5. Exercises 58 58 Part 2. Model Theory 59 Chapter 4. Some Methods in Model Theory 61 0. Introduction 61 1. Realizing and Omitting Types 61 2. Elementary Extensions and Chains 66 3. The Back-and-Forth Method 69 i ii CONTENTS 4. Exercises 71 71 Chapter 5. Countable Models of Complete Theories 73 0. Introduction 73 1. Prime Models 73 2. Universal and Saturated Models 75 3. Theories with Just Finitely Many Countable Models 77 4. Exercises 79 79 Chapter 6. Further Topics in Model Theory 81 0. Introduction 81 1. Interpolation and Definability 81 2. Saturated Models 84 3. Skolem Functions and Indescernables 87 4. Some Applications 91 5. -
Generalized Molecular Formulas in Logical Atomism
Journal for the History of Analytical Philosophy An Argument for Completely General Facts: Volume 9, Number 7 Generalized Molecular Formulas in Logical Editor in Chief Atomism Audrey Yap, University of Victoria Landon D. C. Elkind Editorial Board Annalisa Coliva, UC Irvine In his 1918 logical atomism lectures, Russell argued that there are Vera Flocke, Indiana University, Bloomington no molecular facts. But he posed a problem for anyone wanting Henry Jackman, York University to avoid molecular facts: we need truth-makers for generaliza- Frederique Janssen-Lauret, University of Manchester tions of molecular formulas, but such truth-makers seem to be Kevin C. Klement, University of Massachusetts both unavoidable and to have an abominably molecular charac- Consuelo Preti, The College of New Jersey ter. Call this the problem of generalized molecular formulas. I clarify Marcus Rossberg, University of Connecticut the problem here by distinguishing two kinds of generalized Anthony Skelton, Western University molecular formula: incompletely generalized molecular formulas Mark Textor, King’s College London and completely generalized molecular formulas. I next argue that, if empty worlds are logically possible, then the model-theoretic Editors for Special Issues and truth-functional considerations that are usually given ad- Sandra Lapointe, McMaster University dress the problem posed by the first kind of formula, but not the Alexander Klein, McMaster University problem posed by the second kind. I then show that Russell’s Review Editors commitments in 1918 provide an answer to the problem of com- Sean Morris, Metropolitan State University of Denver pletely generalized molecular formulas: some truth-makers will Sanford Shieh, Wesleyan University be non-atomic facts that have no constituents. -
Chapter 3 – Describing Syntax and Semantics CS-4337 Organization of Programming Languages
!" # Chapter 3 – Describing Syntax and Semantics CS-4337 Organization of Programming Languages Dr. Chris Irwin Davis Email: [email protected] Phone: (972) 883-3574 Office: ECSS 4.705 Chapter 3 Topics • Introduction • The General Problem of Describing Syntax • Formal Methods of Describing Syntax • Attribute Grammars • Describing the Meanings of Programs: Dynamic Semantics 1-2 Introduction •Syntax: the form or structure of the expressions, statements, and program units •Semantics: the meaning of the expressions, statements, and program units •Syntax and semantics provide a language’s definition – Users of a language definition •Other language designers •Implementers •Programmers (the users of the language) 1-3 The General Problem of Describing Syntax: Terminology •A sentence is a string of characters over some alphabet •A language is a set of sentences •A lexeme is the lowest level syntactic unit of a language (e.g., *, sum, begin) •A token is a category of lexemes (e.g., identifier) 1-4 Example: Lexemes and Tokens index = 2 * count + 17 Lexemes Tokens index identifier = equal_sign 2 int_literal * mult_op count identifier + plus_op 17 int_literal ; semicolon Formal Definition of Languages • Recognizers – A recognition device reads input strings over the alphabet of the language and decides whether the input strings belong to the language – Example: syntax analysis part of a compiler - Detailed discussion of syntax analysis appears in Chapter 4 • Generators – A device that generates sentences of a language – One can determine if the syntax of a particular sentence is syntactically correct by comparing it to the structure of the generator 1-5 Formal Methods of Describing Syntax •Formal language-generation mechanisms, usually called grammars, are commonly used to describe the syntax of programming languages. -
The History of Logic
c Peter King & Stewart Shapiro, The Oxford Companion to Philosophy (OUP 1995), 496–500. THE HISTORY OF LOGIC Aristotle was the first thinker to devise a logical system. He drew upon the emphasis on universal definition found in Socrates, the use of reductio ad absurdum in Zeno of Elea, claims about propositional structure and nega- tion in Parmenides and Plato, and the body of argumentative techniques found in legal reasoning and geometrical proof. Yet the theory presented in Aristotle’s five treatises known as the Organon—the Categories, the De interpretatione, the Prior Analytics, the Posterior Analytics, and the Sophistical Refutations—goes far beyond any of these. Aristotle holds that a proposition is a complex involving two terms, a subject and a predicate, each of which is represented grammatically with a noun. The logical form of a proposition is determined by its quantity (uni- versal or particular) and by its quality (affirmative or negative). Aristotle investigates the relation between two propositions containing the same terms in his theories of opposition and conversion. The former describes relations of contradictoriness and contrariety, the latter equipollences and entailments. The analysis of logical form, opposition, and conversion are combined in syllogistic, Aristotle’s greatest invention in logic. A syllogism consists of three propositions. The first two, the premisses, share exactly one term, and they logically entail the third proposition, the conclusion, which contains the two non-shared terms of the premisses. The term common to the two premisses may occur as subject in one and predicate in the other (called the ‘first figure’), predicate in both (‘second figure’), or subject in both (‘third figure’). -
A Simple Definition of General Semantics Ben Hauck *
A SIMPLE DEFINITION OF GENERAL SEMANTICS BEN HAUCK * [A] number of isolated facts does not produce a science any more than a heap of bricks produces a house. The isolated facts must be put in order and brought into mutual structural relations in the form of some theory. Then, only, do we have a science, something to start from, to analyze, ponder on, criticize, and improve. – Alfred Korzybski Science & Sanity: An Introduction to Non-Aristotelian Systems and General Semantics1 The term, ‘semantic reaction’ will be used as covering both semantic reflexes and states. In the present work, we are interested in [semantic reactions], from a psychophysiological, theoretical and experimental point of view, which include the corresponding states. – Alfred Korzybski Science & Sanity: An Introduction to Non-Aristotelian Systems and General Semantics2 OR A NUMBER OF DECADES and perhaps for all of its life, general semantics has Fsuffered from an identity crisis. People have long had difficulty defining the term general semantics for others. Of those people who have settled on definitions, many of their definitions are too vague, too general, or just plain awkward. The bulk of these definitions is of the awkward sort, more like descriptions than definitions3, leading to a hazy image of general semantics and a difficulty in categorizing it in the grand scheme of fields. Because of awkward definitions, people learning of general semantics for the first time can’t relate to it, so they don’t become interested in it. *Ben Hauck webmasters the websites for the Institute of General Semantics and the New York Soci- ety for General Semantics. -
The Problem: the Theory of Ideas in Ancient Atomism and Gilles Deleuze
Duquesne University Duquesne Scholarship Collection Electronic Theses and Dissertations 2013 The rP oblem: The Theory of Ideas in Ancient Atomism and Gilles Deleuze Ryan J. Johnson Follow this and additional works at: https://dsc.duq.edu/etd Recommended Citation Johnson, R. (2013). The rP oblem: The Theory of Ideas in Ancient Atomism and Gilles Deleuze (Doctoral dissertation, Duquesne University). Retrieved from https://dsc.duq.edu/etd/706 This Immediate Access is brought to you for free and open access by Duquesne Scholarship Collection. It has been accepted for inclusion in Electronic Theses and Dissertations by an authorized administrator of Duquesne Scholarship Collection. For more information, please contact [email protected]. THE PROBLEM: THE THEORY OF IDEAS IN ANCIENT ATOMISM AND GILLES DELEUZE A Dissertation Submitted to the McAnulty College & Graduate School of Liberal Arts Duquesne University In partial fulfillment of the requirements for the degree of Doctor of Philosophy By Ryan J. Johnson May 2014 Copyright by Ryan J. Johnson 2014 ii THE PROBLEM: THE THEORY OF IDEAS IN ANCIENT ATOMISM AND GILLES DELEUZE By Ryan J. Johnson Approved December 6, 2013 _______________________________ ______________________________ Daniel Selcer, Ph.D Kelly Arenson, Ph.D Associate Professor of Philosophy Assistant Professor of Philosophy (Committee Chair) (Committee Member) ______________________________ John Protevi, Ph.D Professor of Philosophy (Committee Member) ______________________________ ______________________________ James Swindal, Ph.D. Ronald Polansky, Ph.D. Dean, McAnulty College & Graduate Chair, Department of Philosophy School of Liberal Arts Professor of Philosophy Professor of Philosophy iii ABSTRACT THE PROBLEM: THE THEORY OF IDEAS IN ANCIENT ATOMISM AND GILLES DELEUZE By Ryan J. Johnson May 2014 Dissertation supervised by Dr. -
Scholasticism Old and New : an Introduction to Scholastic
f^frrninnamvfuv^ii^ 3 1924 102 136 409 DATE DUE 1 i The original of this book is in the Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924102136409 SCHOLASTICISM OLD AND NEW Vetera Novis Augere. SCHOLASTICISM OLD AND NEW AN INTRODUCTION TO SCHOLASTIC PHILOSOPHY MEDIEVAL AND MODEKN BY M. DE WULF DOCTOR OF LAWS, l.ciCTOR OF PHILOSOPHy AND LETTERS, PROFESSOR AT THE UNIVERSITY OF LOUVAIN TRANSLATED BY P. COFFEY, D.Ph. PROFESSOR UF PllILOSOPilV, MAISOOTH COLLtOB, IRELAND Jublin M H. GILL & SON, Lm LONGMANS, GREEN & 00. 39 PATBKNOSTEK EOW BOMBAV AND CALCUTTA. 1910 Printed and Bound in Ireland, ^3f ; PEEFATOEY NOTE. My object in translating Professor De Wulf's Introduction a la Philosophie Neo-scolastique has been fourfold : firstly, to give tlie advocates and supporters of " modern " systems of philosopby, as opposed " to scholasticism" —whether in its medieval or in its modern form—an opportunity of obtaining better and more authentic information about the latter system than books in English are usually found to contain ; secondly, to help students of scholastic philosophy to take in the main principles of schol- asticism in one connected view, and to equip them with a more accurate historical and critical appre- ciation of the system than they are ever hkely to derive from an unaided study of stereotyped manuals thirdly, to give aU Enghsh readers interested in philosophy of whatsoever kind an insight into the meaning, the spirit and the progress of the move- ment which has been developing during the last quarter of a century for the revival of scholastic philosophy ; fourthly, to prepare the way for trans- lations or adaptations of the Louvain Cours de philosophie, and to draw attention to the vahie of the work already done and hkely to be done in the well-known Belgian centre of the new scholasticism. -
1. the Logical Atomism of Bertrand Russell Robert L
Contemporary Civilization (Ideas and Institutions Section XXII: Philosophical Meaning of Western Man) 1958 1. The Logical Atomism of Bertrand Russell Robert L. Bloom Gettysburg College Basil L. Crapster Gettysburg College Harold L. Dunkelberger Gettysburg College See next page for additional authors Follow this and additional works at: https://cupola.gettysburg.edu/contemporary_sec22 Part of the History of Philosophy Commons Share feedback about the accessibility of this item. Bloom, Robert L. et al. "1. The Logical Atomism of Bertrand Russell. Pt. XXII: Philosophical Meaning." Ideas and Institutions of Western Man (Gettysburg College, 1958), 6-14. This is the publisher's version of the work. This publication appears in Gettysburg College's institutional repository by permission of the copyright owner for personal use, not for redistribution. Cupola permanent link: https://cupola.gettysburg.edu/ contemporary_sec22/2 This open access book chapter is brought to you by The uC pola: Scholarship at Gettysburg College. It has been accepted for inclusion by an authorized administrator of The uC pola. For more information, please contact [email protected]. 1. The Logical Atomism of Bertrand Russell Abstract As can easily be seen, the impact of these three schools of contemporary philosophy — the linguistic, the logical analytical, and the logical empiricist — has been largely negative, critical, and destructive, especially with regard to theological beliefs, metaphysical systems, and value judgment. Thus the particular growing edges of contemporary philosophy have contributed their full share to the shaking of the foundations of Western Civilization. But, during the last few decades they have presented less of a united front than before. The differences which have appeared have come largely from a rethinking of the status and role of value, and these differences have found expression in a large number of philosophers both in England and the United States.