Truth” As the Word and As the Notion
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Philosophy of Science and Philosophy of Chemistry
Philosophy of Science and Philosophy of Chemistry Jaap van Brakel Abstract: In this paper I assess the relation between philosophy of chemistry and (general) philosophy of science, focusing on those themes in the philoso- phy of chemistry that may bring about major revisions or extensions of cur- rent philosophy of science. Three themes can claim to make a unique contri- bution to philosophy of science: first, the variety of materials in the (natural and artificial) world; second, extending the world by making new stuff; and, third, specific features of the relations between chemistry and physics. Keywords : philosophy of science, philosophy of chemistry, interdiscourse relations, making stuff, variety of substances . 1. Introduction Chemistry is unique and distinguishes itself from all other sciences, with respect to three broad issues: • A (variety of) stuff perspective, requiring conceptual analysis of the notion of stuff or material (Sections 4 and 5). • A making stuff perspective: the transformation of stuff by chemical reaction or phase transition (Section 6). • The pivotal role of the relations between chemistry and physics in connection with the question how everything fits together (Section 7). All themes in the philosophy of chemistry can be classified in one of these three clusters or make contributions to general philosophy of science that, as yet , are not particularly different from similar contributions from other sci- ences (Section 3). I do not exclude the possibility of there being more than three clusters of philosophical issues unique to philosophy of chemistry, but I am not aware of any as yet. Moreover, highlighting the issues discussed in Sections 5-7 does not mean that issues reviewed in Section 3 are less im- portant in revising the philosophy of science. -
"There Is No Right to Be Stupid": a Voegelinian Analysis of Islamist
"There is No Right to Be Stupid": A Voegelinian Analysis of Islamist Terrorism with Reference to the "Elements of Reality" Copyright 2005 Celestino Perez, Jr. In the following essay I make three claims. First, in agreement with Eric Voegelin and Barry Cooper, I illustrate why a comprehensive study of politics requires that attention be paid to the symbols "God and man," "the Good", and "the soul" (Section I). I then briefly wonder if Voegelin and Cooper, despite offering cogent analyses of pernicious ideologies, ask too much of their readers? If so, what are the prospects for a competent political science and a healthy democratic populace (Section II)? In Section III, I suggest a different way of applying Voegelin's theory to an analysis of Islamist ideology, wherein I lay out ten "elements of reality" and five distilled "fundamental truths" derived from these elements. To the degree that someone distorts or neglects these elements of reality, he is a pneumopath. He may be very smart. But, alas, he is a "philosophical and religious ignoramus,"1 [1] and hence stupid. And, as Voegelin reminds us in Hitler and the Germans, "There is no right to be stupid." To be sure, if we allow ourselves to submit to stupidity, the gangster animals will be sure to mockingly let us know: 1 [1] Barry Cooper, New Political Religions, or An Analysis of Modern Terrorism ( Columbia : University of Missouri Press , 2004), xii. Cooper describes Sayyid Qutb's and other terrorists' "dogmatic certainty" as resulting from their being "philosophical and religious ignoramuses." "Yoohoo, silly ass!"2 [2] In the Concluding Notes, I lay out what I consider to be the gist of Cooper's argument, and I briefly comment on his Appendix in New Political Religions. -
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. -
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. -
Peirce, Pragmatism, and the Right Way of Thinking
SANDIA REPORT SAND2011-5583 Unlimited Release Printed August 2011 Peirce, Pragmatism, and The Right Way of Thinking Philip L. Campbell Prepared by Sandia National Laboratories Albuquerque, New Mexico 87185 and Livermore, California 94550 Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy’s National Nuclear Security Administration under Contract DE-AC04-94AL85000.. Approved for public release; further dissemination unlimited. Issued by Sandia National Laboratories, operated for the United States Department of Energy by Sandia Corporation. NOTICE: This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government, nor any agency thereof, nor any of their employees, nor any of their contractors, subcontractors, or their employees, make any warranty, express or implied, or assume any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represent that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise, does not necessarily con- stitute or imply its endorsement, recommendation, or favoring by the United States Government, any agency thereof, or any of their contractors or subcontractors. The views and opinions expressed herein do not necessarily state or reflect those of the United States Government, any agency thereof, or any of their contractors. Printed in the United States of America. This report has been reproduced directly from the best available copy. -
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’). -
Theories of Truth
time 7 Theories of truth r A summary sketchl The object of this section is to sketch the main kinds of ~ theories of truth which have been proposed, and to indicate how they C relate to each other. (Subsequent sections will discuss some theories S'" p. in detail.) o Coherence theories take truth to consist in relations of coherence ~ among a set of beliefs. Coherence theories were proposed e.g. by '" ""C Bradley r9r4, and also by some positivist opponents of idealism, such o u as Neurath r932; more recently, Rescher r973 and Dauer r974 have C'" defended this kind of approach. Correspondence theories take the :l 0::'" truth of a proposition to consist, not in its relations to other proposi .= tions, but in its relation to the world, its cOllespondence to the facts. Theories of this kind were held by both Russell r9r8 and Wittgenstein r922, during the period of their adherence to logical atomism; Austin defended a version of the cOllespondence theory in r950' The prag matist theory, developed in the works of Peirce (see e.g. r877), Dewey (see e.g. r9or) and James (see e.g. r909) has affinities with both coherence and correspondence theories, allowing that the truth of a belief derives from its correspondence with reality, but stressing also that it is manifested by the beliefs' survival of test by experience, its coherence with other beliefs; the account of truth proposed in Dummett r959 has, in turn, quite strong affinities with the pragmatist VIew. 1 Proponents of the theories I shall discuss take different views about what kinds of items are truth-bearers. -
CONCEPTS, DEFINITIONS, and MEANING Author(S): TYLER BURGE Source: Metaphilosophy, Vol
CONCEPTS, DEFINITIONS, AND MEANING Author(s): TYLER BURGE Source: Metaphilosophy, Vol. 24, No. 4 (October 1993), pp. 309-325 Published by: Wiley Stable URL: http://www.jstor.org/stable/24439033 Accessed: 11-04-2017 02:15 UTC REFERENCES Linked references are available on JSTOR for this article: http://www.jstor.org/stable/24439033?seq=1&cid=pdf-reference#references_tab_contents You may need to log in to JSTOR to access the linked references. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://about.jstor.org/terms Wiley is collaborating with JSTOR to digitize, preserve and extend access to Metaphilosophy This content downloaded from 128.97.244.236 on Tue, 11 Apr 2017 02:15:14 UTC All use subject to http://about.jstor.org/terms © The Metaphilosophy Foundation and Basil Blackwell Ltd. 1993. Published by Blackwell Publishers, 108 Cowley Road, Oxford OX4 1JF, UK and 238 Main Street, Cambridge, MA 02142, USA METAPHILOSOPHY Vol 24, No 4, October 1993 0026-1068 CONCEPTS, DEFINITIONS, AND MEANING* ** TYLER BURGE The Aristotelian tradition produced many of the elements of what is widely thought of as "the traditional view" of concepts. I begin by attempting to summarize this view. The summary runs roughshod over numerous distinctions that were dear to various thinkers who contributed to this general conception of concepts. -
The Explanatory Role of the Notion of Representation
The Explanatory Role of the Notion of Representation Michael Strevens Draft of November 2004 ABSTRACT This paper investigates the explanatory role, in scientific theories, of the no- tion of representation and other kindred notions, such as the notions of in- formation and coding. I develop a simple account of the use of the notion of a representation, or more specifically the notion of an inner map, in a class of explanations of animals’ navigational capacities. I then show that the account, though simple, is more widely applicable than it seems, and I pose the question whether the same simple account could make sense of the use of representational notions in other kinds of scientific explanation, such as the explanations of neuroscience, genetics, developmental biology, cognitive psychology, and so on. I extend the account of the explanation of capacities to the explanation of behavior, and conclude by discussing representations of goals. 1 CONTENTS 1 Representations in Explanations 3 2 The R-C Model of Explanation 5 2.1 Explaining Navigational Capacities . 5 2.2 The Role of the Detection Mechanism: Establishing Covariation 8 2.3 The Role of the Prosecution Mechanism: Exploiting Covariation 10 2.4 The R-C Model . 11 3 Extending the R-C Model 13 3.1 Covariation and the Representation of Past and Future States of Affairs . 13 3.2 Representations of Permanent States of Affairs . 15 3.3 Complex Exploitation . 16 4 Beyond Navigation 19 4.1 Further Extending the R-C Model . 19 4.2 Other Animals, Other Capacities . 20 4.3 Other Kinds of Explananda . -
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.