A Constructive Critique of Mario Bunge's Theory of Truth
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A Simple Logic for Comparisons and Vagueness
THEODORE J. EVERETT A SIMPLE LOGIC FOR COMPARISONS AND VAGUENESS ABSTRACT. I provide an intuitive, semantic account of a new logic for comparisons (CL), in which atomic statements are assigned both a classical truth-value and a “how much” value or extension in the range [0, 1]. The truth-value of each comparison is determined by the extensions of its component sentences; the truth-value of each atomic depends on whether its extension matches a separate standard for its predicate; everything else is computed classically. CL is less radical than Casari’s comparative logics, in that it does not allow for the formation of comparative statements out of truth-functional molecules. I argue that CL provides a better analysis of comparisons and predicate vagueness than classical logic, fuzzy logic or supervaluation theory. CL provides a model for descriptions of the world in terms of comparisons only. The sorites paradox can be solved by the elimination of atomic sentences. In his recent book on vagueness, Timothy Williamson (1994) attacks accounts of vagueness arising from either fuzzy logic or supervaluation theory, both of which have well-known problems, stemming in part from their denial of classical bivalence. He then gives his own, epistemic ac- count of vagueness, according to which the vagueness of a predicate is fundamentally a matter of our not knowing whether or not it applies in every case. My main purpose in this paper is not to criticize William- son’s positive view, but to provide an alternative, non-epistemic account of predicate vagueness, based on a very simple logic for comparisons (CL), which preserves bivalence. -
Does Informal Logic Have Anything to Learn from Fuzzy Logic?
University of Windsor Scholarship at UWindsor OSSA Conference Archive OSSA 3 May 15th, 9:00 AM - May 17th, 5:00 PM Does informal logic have anything to learn from fuzzy logic? John Woods University of British Columbia Follow this and additional works at: https://scholar.uwindsor.ca/ossaarchive Part of the Philosophy Commons Woods, John, "Does informal logic have anything to learn from fuzzy logic?" (1999). OSSA Conference Archive. 62. https://scholar.uwindsor.ca/ossaarchive/OSSA3/papersandcommentaries/62 This Paper is brought to you for free and open access by the Conferences and Conference Proceedings at Scholarship at UWindsor. It has been accepted for inclusion in OSSA Conference Archive by an authorized conference organizer of Scholarship at UWindsor. For more information, please contact [email protected]. Title: Does informal logic have anything to learn from fuzzy logic? Author: John Woods Response to this paper by: Rolf George (c)2000 John Woods 1. Motivation Since antiquity, philosophers have been challenged by the apparent vagueness of everyday thought and experience. How, these philosophers have wanted to know, are the things we say and think compatible with logical laws such as Excluded Middle?1 A kindred attraction has been the question of how truth presents itself — relatively and in degrees? in approximations? in resemblances, or in bits and pieces? F.H. Bradley is a celebrated (or as the case may be, excoriated) champion of the degrees view of truth. There are, one may say, two main views of error, the absolute and relative. According to the former view there are perfect truths, and on the other side there are sheer errors.. -
Intransitivity and Vagueness
Intransitivity and Vagueness Joseph Y. Halpern∗ Cornell University Computer Science Department Ithaca, NY 14853 [email protected] http://www.cs.cornell.edu/home/halpern Abstract preferences. Moreover, it is this intuition that forms the ba- sis of the partitional model for knowledge used in game the- There are many examples in the literature that suggest that indistinguishability is intransitive, despite the fact that the in- ory (see, e.g., [Aumann 1976]) and in the distributed sys- distinguishability relation is typically taken to be an equiv- tems community [Fagin, Halpern, Moses, and Vardi 1995]. alence relation (and thus transitive). It is shown that if the On the other hand, besides the obvious experimental obser- uncertainty perception and the question of when an agent vations, there have been arguments going back to at least reports that two things are indistinguishable are both care- Poincare´ [1902] that the physical world is not transitive in fully modeled, the problems disappear, and indistinguishabil- this sense. In this paper, I try to reconcile our intuitions ity can indeed be taken to be an equivalence relation. More- about indistinguishability with the experimental observa- over, this model also suggests a logic of vagueness that seems tions, in a way that seems (at least to me) both intuitively to solve many of the problems related to vagueness discussed appealing and psychologically plausible. I then go on to ap- in the philosophical literature. In particular, it is shown here ply the ideas developed to the problem of vagueness. how the logic can handle the Sorites Paradox. To understand the vagueness problem, consider the well- n+1 1 Introduction known Sorites Paradox: If grains of sand make a heap, then so do n. -
On the Relationship Between Fuzzy Autoepistemic Logic and Fuzzy Modal Logics of Belief
JID:FSS AID:6759 /FLA [m3SC+; v1.204; Prn:31/03/2015; 9:42] P.1(1-26) Available online at www.sciencedirect.com ScienceDirect Fuzzy Sets and Systems ••• (••••) •••–••• www.elsevier.com/locate/fss On the relationship between fuzzy autoepistemic logic and fuzzy modal logics of belief ∗ Marjon Blondeel d, ,1, Tommaso Flaminio a,2, Steven Schockaert b, Lluís Godo c,3, Martine De Cock d,e a Università dell’Insubria, Department of Theorical and Applied Science, Via Mazzini 5, 21100 Varese, Italy b Cardiff University, School of Computer Science and Informatics, 5The Parade, Cardiff, CF24 3AA, UK c Artficial Intelligence Research Institute (IIIA) – CSIC, Campus UAB, 08193 Bellaterra, Spain d Ghent University, Department of Applied Mathematics, Computer Science and Statistics, Krijgslaan 281 (S9), 9000 Gent, Belgium e University of Washington Tacoma – Center for Web and Data Science, 1900 Commerce Street, Tacoma, WA 98402-3100, USA Received 12 February 2014; received in revised form 30 September 2014; accepted 26 February 2015 Abstract Autoepistemic logic is an important formalism for nonmonotonic reasoning originally intended to model an ideal rational agent reflecting upon his own beliefs. Fuzzy autoepistemic logic is a generalization of autoepistemic logic that allows to represent an agent’s rational beliefs on gradable propositions. It has recently been shown that, in the same way as autoepistemic logic generalizes answer set programming, fuzzy autoepistemic logic generalizes fuzzy answer set programming as well. Besides being related to answer set programming, autoepistemic logic is also closely related to several modal logics. To investigate whether a similar relationship holds in a fuzzy logical setting, we firstly generalize the main modal logics for belief to the setting of finitely-valued c Łukasiewicz logic with truth constants Łk, and secondly we relate them with fuzzy autoepistemic logics. -
A Close Look at Bunge's Philosophy of Medicine
philosophies Article Emergence and Evidence: A Close Look at Bunge’s Philosophy of Medicine Rainer J. Klement 1,* and Prasanta S. Bandyopadhyay 2 1 Department of Radiation Oncology, Leopoldina Hospital Schweinfurt, Robert-Koch-Straße 10, 97422 Schweinfurt, Germany 2 Department of History & Philosophy, Montana State University, Bozeman, MT, 59717, USA * Correspondence: [email protected]; Tel.: +49-9721-7202761 Received: 26 June 2019; Accepted: 14 August 2019; Published: 20 August 2019 Abstract: In his book “Medical Philosophy: Conceptual issues in Medicine”, Mario Bunge provides a unique account of medical philosophy that is deeply rooted in a realist ontology he calls “systemism”. According to systemism, the world consists of systems and their parts, and systems possess emergent properties that their parts lack. Events within systems may form causes and effects that are constantly conjoined via particular mechanisms. Bunge supports the views of the evidence-based medicine movement that randomized controlled trials (RCTs) provide the best evidence to establish the truth of causal hypothesis; in fact, he argues that only RCTs have this ability. Here, we argue that Bunge neglects the important feature of patients being open systems which are in steady interaction with their environment. We show that accepting this feature leads to counter-intuitive consequences for his account of medical hypothesis testing. In particular, we point out that (i) the confirmation of hypotheses is inherently stochastic and affords a probabilistic account of both confirmation and evidence which we provide here; (ii) RCTs are neither necessary nor sufficient to establish the truth of a causal claim; (iii) testing of causal hypotheses requires taking into account background knowledge and the context within which an intervention is applied. -
Consequence and Degrees of Truth in Many-Valued Logic
Consequence and degrees of truth in many-valued logic Josep Maria Font Published as Chapter 6 (pp. 117–142) of: Peter Hájek on Mathematical Fuzzy Logic (F. Montagna, ed.) vol. 6 of Outstanding Contributions to Logic, Springer-Verlag, 2015 Abstract I argue that the definition of a logic by preservation of all degrees of truth is a better rendering of Bolzano’s idea of consequence as truth- preserving when “truth comes in degrees”, as is often said in many-valued contexts, than the usual scheme that preserves only one truth value. I review some results recently obtained in the investigation of this proposal by applying techniques of abstract algebraic logic in the framework of Łukasiewicz logics and in the broader framework of substructural logics, that is, logics defined by varieties of (commutative and integral) residuated lattices. I also review some scattered, early results, which have appeared since the 1970’s, and make some proposals for further research. Keywords: many-valued logic, mathematical fuzzy logic, truth val- ues, truth degrees, logics preserving degrees of truth, residuated lattices, substructural logics, abstract algebraic logic, Leibniz hierarchy, Frege hierarchy. Contents 6.1 Introduction .............................2 6.2 Some motivation and some history ...............3 6.3 The Łukasiewicz case ........................8 6.4 Widening the scope: fuzzy and substructural logics ....9 6.5 Abstract algebraic logic classification ............. 12 6.6 The Deduction Theorem ..................... 16 6.7 Axiomatizations ........................... 18 6.7.1 In the Gentzen style . 18 6.7.2 In the Hilbert style . 19 6.8 Conclusions .............................. 21 References .................................. 23 1 6.1 Introduction Let me begin by calling your attention to one of the main points made by Petr Hájek in the introductory, vindicating section of his influential book [34] (the italics are his): «Logic studies the notion(s) of consequence. -
Physics and Philosophy of Physics in the Work of Mario Bunge
Chapter 17 Physics and Philosophy of Physics in the Work of Mario Bunge Gustavo E. Romero Abstract This brief review of Mario Bunge’s research on physics begins with an analysis of his masterpiece Foundations of Physics, and then it discusses his other contributions to the philosophy of physics. Following that is a summary of his more recent reactions to scientific discoveries in physics and a discussion of his position about non-locality in quantum mechanics, as well as his changing opinions on the nature of spacetime. The paper ends with a brief assessment of Bunge’s legacy concerning the foundations of physics. 17.1 Introduction Before embarking on a more formal examination of Bunge’s work in philosophy, physics and the overlap of both, I would like to indulge in some personal narrative and reflect on the depth of influence which Mario Bunge has had on my career, as an example of how he has been a central figure in the work of so many others over many decades. Given the purpose of this paper and the context of its inclusion in a larger work recognizing the breadth and depth of his footprint across many fields, such a diversion does not seem misplaced. Following this background story, there is a brief summary of some of the major points in Mario’s own early life and academic career. This provides some context to the subsequent analysis of his works and his Cartesian approach to the development of a fundamental re-construction of the theory and practice of scientific methods. Mario Bunge began academic studies in physics in March 1938. -
The Philosophy Behind Pseudoscience
SI J-A 2006 pgs 5/30/06 1:42 PM Page 29 The Philosophy behind Pseudoscience Every intellectual endeavor, whether authentic or bogus, has an underlying philosophy. Science, for example, involves six kinds of philosophical ideas. These differ totally from those behind pseudoscience. Evaluating a field’s underlying philosophy is a revealing way to make distinctions and judge worth. MARIO BUNGE SKEPTICAL INQUIRER July / August 2006 29 SI J-A 2006 pgs 5/30/06 1:42 PM Page 30 tions and torture sessions of political opponents during the osé López-Rega was the evil gray eminence behind 1973–76 period, when he was at the peak of his political General Perón in his dotage, as well as that of Perón’s power. Thus, El Brujo (“the Wizard”), as the Minister of Jsuccessor, his wife, Isabelita. He had been a failed singer, Public Welfare was popularly known, had the backing of mil- a police officer, a bodyguard, and the author of best sellers on lennia of philosophical myths. business and the stars, love and the stars, and the like. He was Every intellectual endeavor, whether authentic or bogus, a firm believer in the occult and a practicing black magician. has an underlying philosophy and, in particular, an ontology López-Rega believed not only in astral influences and in the (a theory of being and becoming) and an epistemology (a the- spirit world but also in his own ability to conjure up spirits ory of knowledge). For example, the philosophy behind evo- and manipulate them. Once, he attempted to transfer the soul lutionary biology is naturalism (or materialism) together with of the dead Juan Perón into his dim-witted successor, Isabelita. -
A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics
FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS (fourth edition) NL(A1 A2) = ( T1 ({1}T2) T2 ({1}T1) T1T2 ({1}T1) ({1}T2), I1 ({1}I2) I2 ({1}I1) I1 I2 ({1}I1) ({1} I2), F1 ({1}F2) F2 ({1} F1) F1 F2 ({1}F1) ({1}F2) ). NL(A1 A2) = ( {1}T1T1T2, {1}I1I1I2, {1}F1F1F2 ). NL(A1 A2) = ( ({1}T1T1T2) ({1}T2T1T2), ({1} I1 I1 I2) ({1}I2 I1 I2), ({1}F1F1 F2) ({1}F2F1 F2) ). ISBN 978-1-59973-080-6 American Research Press Rehoboth 1998, 2000, 2003, 2005 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS (fourth edition) NL(A1 A2) = ( T1 ({1}T2) T2 ({1}T1) T1T2 ({1}T1) ({1}T2), I1 ({1}I2) I2 ({1}I1) I1 I2 ({1}I1) ({1} I2), F1 ({1}F2) F2 ({1} F1) F1 F2 ({1}F1) ({1}F2) ). NL(A1 A2) = ( {1}T1T1T2, {1}I1I1I2, {1}F1F1F2 ). NL(A1 A2) = ( ({1}T1T1T2) ({1}T2T1T2), ({1} I1 I1 I2) ({1}I2 I1 I2), ({1}F1F1 F2) ({1}F2F1 F2) ). ISBN 978-1-59973-080-6 American Research Press Rehoboth 1998, 2000, 2003, 2005 1 Contents: Preface by C. Le: 3 0. Introduction: 9 1. Neutrosophy - a new branch of philosophy: 15 2. Neutrosophic Logic - a unifying field in logics: 90 3. Neutrosophic Set - a unifying field in sets: 125 4. Neutrosophic Probability - a generalization of classical and imprecise probabilities - and Neutrosophic Statistics: 129 5. Addenda: Definitions derived from Neutrosophics: 133 2 Preface to Neutrosophy and Neutrosophic Logic by C. -
Download Author Version (PDF)
Chemistry Education Research and Practice Accepted Manuscript This is an Accepted Manuscript, which has been through the Royal Society of Chemistry peer review process and has been accepted for publication. Accepted Manuscripts are published online shortly after acceptance, before technical editing, formatting and proof reading. Using this free service, authors can make their results available to the community, in citable form, before we publish the edited article. We will replace this Accepted Manuscript with the edited and formatted Advance Article as soon as it is available. You can find more information about Accepted Manuscripts in the Information for Authors. Please note that technical editing may introduce minor changes to the text and/or graphics, which may alter content. The journal’s standard Terms & Conditions and the Ethical guidelines still apply. In no event shall the Royal Society of Chemistry be held responsible for any errors or omissions in this Accepted Manuscript or any consequences arising from the use of any information it contains. www.rsc.org/cerp Page 1 of 22 Chemistry Education Research and Practice 1 2 3 AN ONTOLOGICAL AND EPISTEMOLOGICAL ANALYSIS OF THE PRESENTATION OF THE 4 FIRST LAW OF THERMODYNAMICS IN SCHOOL AND UNIVERSITY TEXTBOOKS 5 6 Joaquín Castillo Poblete, Rocío Ogaz Rojas, Cristian Merino Rubilar and Waldo Quiroz Venegas* 7 8 9 Abstract 10 11 Considering the relevance of thermodynamics to the scientific discipline of chemistry and the 12 curriculum of the Western school system, the philosophical system of Mario Bunge, particularly his 13 ontology and epistemology, is used herein to analyze the presentation of the first law of 14 thermodynamics in 15 school and university textbooks. -
A SCIENTIFIC ONTOLOGY* 1. Introduction in the Last Decades
A SCIENTIFIC ONTOLOGY* 1. Introduction In the last decades, doing ontology or metaphysics has become a respectable business again, even on the Anglo-Saxon philosopbical scene. Professor Mario Bunge's system of ontological conceptions and theories fits into tbis trend. It fills two volumes (01, Oll), wbich form part of an ambitious seven-volume pro ject, bis Treatise on Basic Philosophy. It "encompasses what the author takes to be the nuc1eus of contemporary philosophy, namely semantics (theories of meaning and truth), epistemology (theories of knowledge), metaphysics (general theories of the world), and etbics (theories of value and of right ac tion)" (General Preface to the Treatise, e.g. 01 v). Together with the previously published volumes on semantics (SI, SII), four volumes are available so far. Spec ifically, Bunge's philosophy is meant to be "systematic and, to some extent, also exact and scientific. That is, the philosophical theories formulated in these vol umes are (a) formulated in certain exact (mathemacial) languages and (b) hoped to be consistent with contemporary science" (e.g. 01 v). The relationsbip between science and his ontological theories is intended to be especially tight: not only are they to be consistent with science, but "more over rather elose to science - or rather the bulk of it" (01 xiii). Tbis elose rela tionsbip is not a fanciful notion, but rather already present in the fact that "every scientific theory, if extermely general, is ontological; and every ontologi ca1 theory, if exact and in tune with science, is scientific" (01 21, also 15f.). 'Exact' and 'scientific' are not identified: "the latter implies the former but the converse is false" (01 8). -
Reading T. S. Eliot Reading Spinoza
READING T. S. ELIOT READING SPINOZA A Dissertation Presented to the Faculty of the Graduate School of Cornell University in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy by Yoshiaki Mihara January 2013 © 2013 Yoshiaki Mihara READING T. S. ELIOT READING SPINOZA Yoshiaki Mihara, Ph. D. Cornell University 2013 “[The ordinary man] falls in love, or reads Spinoza, and these two experiences have nothing to do with each other” – a good reader of T. S. Eliot’s criticism probably knows this famous passage; a good researcher on Eliot’s apprenticeship in philosophy perhaps knows that he did actually read Spinoza; and yet, in the current Eliot studies, reading Eliot and reading Spinoza seem to have nothing to do with each other. In this dissertation, I attempt to reconstruct Eliot’s reading of Spinoza as faithfully and comprehensively as possible, by closely analyzing the marginalia in Eliot’s copy of Spinoza’s Opera, housed in the Archive Centre of King’s College, Cambridge. At the same time, the Spinozist context for Eliot’s apprenticeship at Harvard and Oxford (with the intermission of “a romantic year” in Paris) is also to be presented, which is, in fact, a glaring absence in the philosophical branch of Eliot studies. In addition to these positivistic contributions, I also take a theoretical approach so as to demonstrate how illuminative Eliot’s reading of Spinoza can be for understanding the characteristic style (or “ethology”) of Eliot’s reading in general (i.e., Theory), by way of extensively analyzing the unpublished as well as published materials of Eliot’s “academic philosophizing” that culminated in his doctoral dissertation on F.