Williamson Traces the History of the Problem from Discussions of the Heap Paradox in Ancient Greece to Modern Formal Approaches, Such As Fuzzy Logic
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Vagueness Susanne Bobzien and Rosanna Keefe
Vagueness Susanne Bobzien and Rosanna Keefe I—SUSANNE BOBZIEN COLUMNAR HIGHER-ORDER VAGUENESS, OR VAGUENESS IS HIGHER-ORDER VAGUENESS Most descriptions of higher-order vagueness in terms of traditional modal logic generate so-called higher-order vagueness paradoxes. The one that doesn’t (Williamson’s) is problematic otherwise. Consequently, the present trend is toward more complex, non-standard theories. However, there is no need for this. In this paper I introduce a theory of higher-order vagueness that is paradox-free and can be expressed in the first-order extension of a normal modal system that is complete with respect to single-domain Kripke-frame semantics. This is the system qs4m+bf+fin. It corresponds to the class of transitive, reflexive and final frames. With borderlineness (unclarity, indeterminacy) defined logically as usual, it then follows that something is borderline precisely when it is higher-order borderline, and that a predicate is vague precisely when it is higher-order vague. Like Williamson’s, the theory proposed here has no clear borderline cas- es in Sorites sequences. I argue that objections that there must be clear bor- derline cases ensue from the confusion of two notions of borderlineness— one associated with genuine higher-order vagueness, the other employed to sort objects into categories—and that the higher-order vagueness para- doxes result from superimposing the second notion onto the first. Lastly, I address some further potential objections. This paper proposes that vagueness is higher-order vagueness. At first blush this may seem a very peculiar suggestion. It is my hope that the following pages will dispel the peculiarity and that the advantages of the proposed theory will speak for themselves. -
Augustine on Knowledge
Augustine on Knowledge Divine Illumination as an Argument Against Scepticism ANITA VAN DER BOS RMA: RELIGION & CULTURE Rijksuniversiteit Groningen Research Master Thesis s2217473, April 2017 FIRST SUPERVISOR: dr. M. Van Dijk SECOND SUPERVISOR: dr. dr. F.L. Roig Lanzillotta 1 2 Content Augustine on Knowledge ........................................................................................................................ 1 Acknowledgements ................................................................................................................................ 4 Preface .................................................................................................................................................... 5 Abstract ................................................................................................................................................... 6 Introduction ............................................................................................................................................ 7 The life of Saint Augustine ................................................................................................................... 9 The influence of the Contra Academicos .......................................................................................... 13 Note on the quotations ........................................................................................................................ 14 1. Scepticism ........................................................................................................................................ -
The Linguistic Description of Opaque Contexts Pdf, Epub, Ebook
THE LINGUISTIC DESCRIPTION OF OPAQUE CONTEXTS PDF, EPUB, EBOOK Janet Dean Fodor | 384 pages | 26 Nov 2015 | Taylor & Francis Ltd | 9781138989535 | English | London, United Kingdom The Linguistic Description of Opaque Contexts PDF Book This also concerns noun phrases embedded under attitude verbs; consider:. A naturalobjectionto ourproposalis thatthe T-sentencewe give for 'Galileo said that the earthmoves' will not enable someone who grasps it alone to under- stand the sentence for which it gives truthconditions. Peter Trudgill offers examples of non-transparent and transparent compounds: "The English word dentist is not semantically transparent whereas the Norwegian word tannlege , literally 'tooth doctor,' is" A Glossary of Sociolinguistics , This cannot mean as if they had asserted them, so we take it that the idea is basically the same as the one we have in mind. See Lepore and Ludwig for a suggestion for an importantmodificationof Davidson's proposal in the context of a general truth-theoreticaltreatmentof tense and temporaladverbs. The above observation about translationhelps on another front. 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. This way of drawing attentionto the appropriaterelation is does not commit us to the existence of propo- sitions; rather,it is a useful heuristicgiven the familiarityof puttingit this way. Perhaps the most popular solution to the problem of providing a compositional semantics for naturallanguages aims to exploit this fact by treat- ing that-clausesas referringto intensional entities-entities at least as as finely individuatedas the meanings of sentences. -
3 Arcesilaus and Carneades
C:/ITOOLS/WMS/CUP/552750/WORKINGFOLDER/BCP/9780521874762C03.3D 58 [58–80] 24.9.2009 7:15AM harald thorsrud 3 Arcesilaus and Carneades Arcesilaus initiated a sceptical phase in the Academy after taking over in c. 268 BCE. He was motivated in part by an innovative reading of Plato’s dialogues. Where his predecessors found positive doctrines to be systematically developed, he found a dialectical method of arguing and the sceptical view that nothing can be known (akatalêpsia, De Or. 3.67,seeDL4.28, 4.32). He also advanced this conclusion in opposition to the ambitious system of the Stoics, claiming further that the appropriate response to the pervasive uncertainty generated by his method is the suspension of judgement (epochê). Arcesilaus’ dialectical method was practiced without significant modification in the Academy until Carneades, who became head sometime before 155 BCE.1 Carneades both continued and strength- ened Arcesilaus’ method (ND 1.11, Acad. 2.16, see also Acad. 1.46, and Eusebius, Praep. evang. 14.7.15). Sextus marks the change by referring to Plato’s Academy as Old, Arcesilaus’ as Middle, and Carneades’ as New (PH 1.220). Since the main interpretative issues regarding both Arcesilaus and Carneades depend on the concepts of akatalêpsia and epochê,we must try to determine what they mean, how they are related, and what attitude the Academics take towards them – i.e. in what sense, if any, are these their sceptical doctrines? iarcesilaus The view that Arcesilaus derived from Plato’s dialogues might have taken one of two very different forms. He might have discovered some arguments that show knowledge is not possible. -
Oxford Studies in Ancient Philosophy. Volume 31, Winter 2006
LIVING IN DOUBT: CARNEADES’ PITHANON RECONSIDERED SUZANNE OBDRZALEK I though the interpretation of ancient texts is inevitably di¶cult, Carneades presents what one might call a worst-case scenario. In the first place, he wrote nothing. To complicate matters, Carneades’ views were so obscure that his faithful disciple Clitomachus con- fessed that he could never figure out what Carneades actually be- lieved (Cic. Acad. 2. 139). Showing remarkable fortitude in the face of such an obstacle, Clitomachus, attempting to play Plato to Carneades’ Socrates, reportedly recorded Carneades’ teachings in 400 books (D.L. 4. 67). Not one remains. None the less, Clito- machus’ attempt to make a philosophy of Carneades’ anti-theoreti- cal stance was not a complete failure; Carneades had a tremendous influence on the later Academy as well as the Stoa, and his views (or lack thereof) have been handed down to us by both Sextus Em- piricus and Cicero. These sources are, however, problematic. As a Pyrrhonist, Sextus was critical of the Academy and may have ex- aggerated what he took to be Carneades’ dogmatism. Cicero, on the other hand, a student of Philo, was undoubtedly influenced in his interpretation of Carneades by his teacher’s dogmatic scepti- cism. Carneades is perhaps best known for proposing the pithan»e phantasia (probable impression) as a criterion for life. However, the status of his theory of the pithanon (probable) is completely unclear.1 Was it merely a dialectical move against the Stoic charge of apraxia (inaction)? Was it a theory that Carneades himself en- ã Suzanne Obdrzalek 2006 I would like to thank Alan Code, Tony Long, Julius Moravcsik, and David Sedley for their comments on this paper. -
B Philosophy (General) B
B PHILOSOPHY (GENERAL) B Philosophy (General) For general philosophical treatises and introductions to philosophy see BD10+ Periodicals. Serials 1.A1-.A3 Polyglot 1.A4-Z English and American 2 French and Belgian 3 German 4 Italian 5 Spanish and Portuguese 6 Russian and other Slavic 8.A-Z Other. By language, A-Z Societies 11 English and American 12 French and Belgian 13 German 14 Italian 15 Spanish and Portuguese 18.A-Z Other. By language, A-Z 20 Congresses Collected works (nonserial) 20.6 Several languages 20.8 Latin 21 English and American 22 French and Belgian 23 German 24 Italian 25 Spanish and Portuguese 26 Russian and other Slavic 28.A-Z Other. By language, A-Z 29 Addresses, essays, lectures Class here works by several authors or individual authors (31) Yearbooks see B1+ 35 Directories Dictionaries 40 International (Polyglot) 41 English and American 42 French and Belgian 43 German 44 Italian 45 Spanish and Portuguese 48.A-Z Other. By language, A-Z Terminology. Nomenclature 49 General works 50 Special topics, A-Z 51 Encyclopedias 1 B PHILOSOPHY (GENERAL) B Historiography 51.4 General works Biography of historians 51.6.A2 Collective 51.6.A3-Z Individual, A-Z 51.8 Pictorial works Study and teaching. Research Cf. BF77+ Psychology Cf. BJ66+ Ethics Cf. BJ66 Ethics 52 General works 52.3.A-Z By region or country, A-Z 52.5 Problems, exercises, examinations 52.65.A-Z By school, A-Z Communication of information 52.66 General works 52.67 Information services 52.68 Computer network resources Including the Internet 52.7 Authorship Philosophy. -
The Ineffectiveness of Hermeneutics. Another Augustine's Legacy In
The ineffectiveness of hermeneutics. Another Augustine’s legacy in Gadamer Alberto Romele To cite this version: Alberto Romele. The ineffectiveness of hermeneutics. Another Augustine’s legacy in Gadamer. International Journal of Philosophy and Theology, Taylor & Francis, 2015, 75 (5), pp.422-439. 10.1080/21692327.2015.1027789. hal-01303281 HAL Id: hal-01303281 https://hal.archives-ouvertes.fr/hal-01303281 Submitted on 17 Apr 2016 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. The Ineffectiveness of Hermeneutics. Another Augustine’s Legacy in Gadamer Alberto Romele Institute of Philosophy, University of Porto COSTECH Laboratory, University of Technology of Compiègne This article builds on Gadamer’s rehabilitation of the Augustinian concept of inner word (ver- bum in corde). Unlike most interpretions, the thesis is that the Augustinian inner word does not show the potentialities, but rather the ineffectiveness of ontological hermeneutics. In the first section, it is argued that for the later Augustine the verbum in corde is the consequence of a Word- and Truth- event. In the second section, the author suggests that Gadamer has properly understood the verbum in corde as a matter of faith. -
• Today: Language, Ambiguity, Vagueness, Fallacies
6060--207207 • Today: language, ambiguity, vagueness, fallacies LookingLooking atat LanguageLanguage • argument: involves the attempt of rational persuasion of one claim based on the evidence of other claims. • ways in which our uses of language can enhance or degrade the quality of arguments: Part I: types and uses of definitions. Part II: how the improper use of language degrades the "weight" of premises. AmbiguityAmbiguity andand VaguenessVagueness • Ambiguity: a word, term, phrase is ambiguous if it has 2 or more well-defined meaning and it is not clear which of these meanings is to be used. • Vagueness: a word, term, phrase is vague if it has more than one possible and not well-defined meaning and it is not clear which of these meanings is to be used. • [newspaper headline] Defendant Attacked by Dead Man with Knife. • Let's have lunch some time. • [from an ENGLISH dept memo] The secretary is available for reproduction services. • [headline] Father of 10 Shot Dead -- Mistaken for Rabbit • [headline] Woman Hurt While Cooking Her Husband's Dinner in a Horrible Manner • advertisement] Jack's Laundry. Leave your clothes here, ladies, and spend the afternoon having a good time. • [1986 headline] Soviet Bloc Heads Gather for Summit. • He fed her dog biscuits. • ambiguous • vague • ambiguous • ambiguous • ambiguous • ambiguous • ambiguous • ambiguous AndAnd now,now, fallaciesfallacies • What are fallacies or what does it mean to reason fallaciously? • Think in terms of the definition of argument … • Fallacies Involving Irrelevance • or, Fallacies of Diversion • or, Sleight-of-Hand Fallacies • We desperately need a nationalized health care program. Those who oppose it think that the private sector will take care of the needs of the poor. -
CHAPTER 2.1 Augustine: Commentary
CHAPTER 2.1 Augustine: Commentary Augustine Aurelius Augustinus Hipponensis (henceforth Augustine) was born in 354 A.D. in the municipium of Thagaste (modern day Souk Ahras, Algeria, close to the border with Tunisia). He died in 430, as the Arian1 Vandals besieged the city of Hippo where he was bishop, marking another stage in the demise of the Roman Empire. Rome had already been sacked in 410 by Alaric the Visigoth, but the slow decline of Roman grandeur took place over a period of about 320 years which culminated in 476 when Romulus Augustus, the last Emperor of the Western Roman Empire, was deposed by Odoacer, a Germanic chieftain. Augustine thus lived at a time which heralded the death knell of the ancient world and the beginnings of mediaeval western European Christendom.2 Augustine‘s great legacy to western civilization is that intellectually he united both worlds in drawing from the ancient thought of Greece and Rome and providing a Christian understanding of the intellectual achievements of the ancients. His new synthesis is a remarkable achievement even today and for those of us, who remain Christians in the West, our debates, agreements and disagreements are still pursued in Augustine‘s shadow.3 1 Arianism was a schismatic sect of Christianity that held the view that the Second Person of the Trinity, Christ, is created and thus does not exist eternally with the Father. 2 See J. M. Rist‘s magnificent Augustine: Ancient Thought Baptized, Cambridge, Cambridge University Press, 2003. Rist notes that, ‗Despite his lack of resources he managed to sit in judgment on ancient philosophy and ancient culture.‘ p. -
Fuzziness-Vagueness-Generality-Ambiguity. Journal of Pragmatics (Elsevier Science B.V
Fuzziness-vagueness-generality-ambiguity. Journal of Pragmatics (Elsevier Science B.V. in New York & Amsterdam), 1998, 29 (1): pp 13-31. Fuzziness---Vagueness---Generality---Ambiguity1 Qiao Zhang Published by Journal of Pragmatics (Elsevier Science B.V. in New York & Amsterdam), 1998, 29(1): pp 13-31. Contact: Dr Grace Zhang Department of Languages and Intercultural Education Curtin University of Technology GPO Box 1987 Perth, Western Australia 6845 Australia Tel: +61 8 9266 3478 Fax: +61 8 9266 4133 Email: [email protected] Abstract In this paper, I attempt to distinguish four linguistic concepts: fuzziness, vagueness, generality and ambiguity. The distinction between the four concepts is a significant matter, both theoretically and practically. Several tests are discussed from the perspectives of semantics, syntax and pragmatics. It is my contention that fuzziness, vagueness, and generality are licensed by Grice's Co-operative Principle, i.e. they are just as important as precision in language. I conclude that generality, vagueness, and fuzziness are under-determined, and ambiguity is over-determined. Fuzziness differs from generality, vagueness, and ambiguity in that it is not simply a result of a one-to- many relationship between a general meaning and its specifications; nor a list of possible related interpretations derived from a vague expression; nor a list of unrelated meanings denoted by an ambiguous expression. Fuzziness is inherent in the sense that it has no clear-cut referential boundary, and is not resolvable with resort to context, as opposed to generality, vagueness, and ambiguity, which may be contextually eliminated. It is also concluded that fuzziness is closely involved with language users' judgments. -
Quantifying Aristotle's Fallacies
mathematics Article Quantifying Aristotle’s Fallacies Evangelos Athanassopoulos 1,* and Michael Gr. Voskoglou 2 1 Independent Researcher, Giannakopoulou 39, 27300 Gastouni, Greece 2 Department of Applied Mathematics, Graduate Technological Educational Institute of Western Greece, 22334 Patras, Greece; [email protected] or [email protected] * Correspondence: [email protected] Received: 20 July 2020; Accepted: 18 August 2020; Published: 21 August 2020 Abstract: Fallacies are logically false statements which are often considered to be true. In the “Sophistical Refutations”, the last of his six works on Logic, Aristotle identified the first thirteen of today’s many known fallacies and divided them into linguistic and non-linguistic ones. A serious problem with fallacies is that, due to their bivalent texture, they can under certain conditions disorient the nonexpert. It is, therefore, very useful to quantify each fallacy by determining the “gravity” of its consequences. This is the target of the present work, where for historical and practical reasons—the fallacies are too many to deal with all of them—our attention is restricted to Aristotle’s fallacies only. However, the tools (Probability, Statistics and Fuzzy Logic) and the methods that we use for quantifying Aristotle’s fallacies could be also used for quantifying any other fallacy, which gives the required generality to our study. Keywords: logical fallacies; Aristotle’s fallacies; probability; statistical literacy; critical thinking; fuzzy logic (FL) 1. Introduction Fallacies are logically false statements that are often considered to be true. The first fallacies appeared in the literature simultaneously with the generation of Aristotle’s bivalent Logic. In the “Sophistical Refutations” (Sophistici Elenchi), the last chapter of the collection of his six works on logic—which was named by his followers, the Peripatetics, as “Organon” (Instrument)—the great ancient Greek philosopher identified thirteen fallacies and divided them in two categories, the linguistic and non-linguistic fallacies [1]. -
Vagueness and Quantification
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Institutional Research Information System University of Turin Vagueness and Quantification (postprint version) Journal of Philosophical Logic first online, 2015 Andrea Iacona This paper deals with the question of what it is for a quantifier expression to be vague. First it draws a distinction between two senses in which quantifier expressions may be said to be vague, and provides an account of the distinc- tion which rests on independently grounded assumptions. Then it suggests that, if some further assumptions are granted, the difference between the two senses considered can be represented at the formal level. Finally, it out- lines some implications of the account provided which bear on three debated issues concerning quantification. 1 Preliminary clarifications Let us start with some terminology. First of all, the term `quantifier expres- sion' will designate expressions such as `all', `some' or `more than half of', which occurs in noun phrases as determiners. For example, in `all philoso- phers', `all' occurs as a determiner of `philosophers', and the same position can be occupied by `some' or `more than half of'. This paper focuses on simple quantified sentences containing quantifier expressions so understood, such as the following: (1) All philosophers are rich (2) Some philosophers are rich (3) More than half of philosophers are rich Although this is a very restricted class of sentences, it is sufficiently repre- sentative to deserve consideration on its own. In the second place, the term `domain' will designate the totality of things over which a quantifier expression is taken to range.