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Elements of logic

Delmar, N.Y.: Scholars' Facsimiles & Reprints (1827)

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  1. (1 other version)Hare and Others on the Proposition.John Corcoran - 2011 - Principia: An International Journal of Epistemology 15 (1):51-76.
    History witnesses alternative approaches to “the proposition”. The proposition has been referred to as the object of belief, disbelief, and doubt: generally as the object of propositional attitudes, that which can be said to be believed, disbelieved, understood, etc. It has also been taken to be the object of grasping, judging, assuming, affirming, denying, and inquiring: generally as the object of propositional actions, that which can be said to be grasped, judged true or false, assumed for reasoning purposes, etc. The (...)
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  • Strategies of Character Attack.Fabrizio Macagno - 2013 - Argumentation 27 (4):1-33.
    Why are personal attacks so powerful? In political debates, speeches, discussions and campaigns, negative character judgments, aggressive charges and charged epithets are used for different purposes. They can block the dialogue, trigger value judgments and influence decisions; they can force the interlocutor to withdraw a viewpoint or undermine his arguments. Personal attacks are not only multifaceted dialogical moves, but also complex argumentative strategies. They can be considered as premises for further arguments based on signs, generalizations or consequences. They involve tactics (...)
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  • Miracles.Timothy McGrew - 2011 - Stanford Encyclopedia of Philosophy.
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  • The preface paradox dissolved.John N. Williams - 1987 - Theoria 53 (2-3):121-140.
    The preface paradox strikes us as puzzling because we feel that if a person holds a set of inconsistent beliefs, i.e. beliefs such that at least one of them must be correct, then he should give at least one of them up. Equally, if a person's belief is rational, then he has a right to hold it. Yet the preface example is prima facie a case in which a person holds an inconsistent set of beliefs each of which is rational, (...)
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  • Argument from Analogy in Law, the Classical Tradition, and Recent Theories.Fabrizio Macagno & Douglas Walton - 2009 - Philosophy and Rhetoric 42 (2):154-182.
    Argument from analogy is a common and formidable form of reasoning in law and in everyday conversation. Although there is substantial literature on the subject, according to a recent survey ( Juthe 2005) there is little fundamental agreement on what form the argument should take, or on how it should be evaluated. Th e lack of conformity, no doubt, stems from the complexity and multiplicity of forms taken by arguments that fall under the umbrella of analogical reasoning in argumentation, dialectical (...)
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  • Aristotle on the fallacies of combination and division in Sophistici Elenchi 4.Annamaria Schiaparelli - 2003 - History and Philosophy of Logic 24 (2):111-129.
    This paper discusses the fallacies of combination and division as they are presented by Aristotle in chapter 4 of his Sophistici Elenchi. Aristotle's examples are concise, their discussion is unclear, and it is difficult to distinguish the cases of combination from those of division. I analyse the Aristotelian examples and the interpretations offered so far. I show that these interpretations suffer from a major defect: they fail to identify a common characteristic whereby the Aristotelian examples can be classified as instances (...)
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  • The Development of Logic as Reflected in the Fate of the Syllogism 1600–1900.James Van Evra - 2000 - History and Philosophy of Logic 21 (2):115-134.
    One way to determine the quality and pace of change in a science as it undergoes a major transition is to follow some feature of it which remains relatively stable throughout the process. Following the chosen item as it goes through reinterpretation permits conclusions to be drawn about the nature and scope of the broader change in question. In what follows, this device is applied to the change which took place in logic in the mid-nineteenth century. The feature chosen as (...)
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  • Peter Hare on the proposition.John Corcoran - 2010 - Transactions of the Charles S. Peirce Society 46 (1):21-34.
    Peter H. Hare (1935-2008) developed informed, original views about the proposition: some published (Hare 1969 and Hare-Madden 1975); some expressed in conversations at scores of meetings of the Buffalo Logic Colloquium and at dinners following. The published views were expository and critical responses to publications by Curt J. Ducasse (1881-1969), a well-known presence in American logic, a founder of the Association for Symbolic Logic and its President for one term.1Hare was already prominent in the University of Buffalo's Philosophy Department in (...)
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  • J.S. Mill’s Canons of Induction: from True Causes to Provisional Ones.Steffen Ducheyne - 2008 - History and Philosophy of Logic 29 (4):361-376.
    In this essay, my aim is twofold: to clarify how the late Mill conceived of the certainty of inductive generalizations and to offer a systematic clarification of the limited domain of application of the Mill’s Canons of Induction. I shall argue that Mill’s views on the certainty of knowledge changed overtime and that this change was accompanied by a new view on the certainty of the inductive results yielded by the Canons of Induction. The key message of the later editions (...)
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  • The traditional square of opposition.Terence Parsons - 2008 - Stanford Encyclopedia of Philosophy.
    This entry traces the historical development of the Square of Opposition, a collection of logical relationships traditionally embodied in a square diagram. This body of doctrine provided a foundation for work in logic for over two millenia. For most of this history, logicians assumed that negative particular propositions ("Some S is not P") are vacuously true if their subjects are empty. This validates the logical laws embodied in the diagram, and preserves the doctrine against modern criticisms. Certain additional principles ("contraposition" (...)
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  • New foundations for imperative logic I: Logical connectives, consistency, and quantifiers.Peter B. M. Vranas - 2008 - Noûs 42 (4):529-572.
    Imperatives cannot be true or false, so they are shunned by logicians. And yet imperatives can be combined by logical connectives: "kiss me and hug me" is the conjunction of "kiss me" with "hug me". This example may suggest that declarative and imperative logic are isomorphic: just as the conjunction of two declaratives is true exactly if both conjuncts are true, the conjunction of two imperatives is satisfied exactly if both conjuncts are satisfied—what more is there to say? Much more, (...)
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  • Presuppositional Fallacies.Fabrizio Macagno - 2024 - Argumentation 38 (2):109-140.
    Presuppositions are at the same time a crucial and almost neglected dimension of arguments and fallacies. Arguments involve different types of presuppositions, which can be used for manipulative purposes in distinct ways. However, what are presuppositions? What is their dialectical function? Why and how can they be dangerous? This paper intends to address these questions by developing the pragmatic approaches to presupposition from a dialectical perspective. The use of presuppositions will be analyzed in terms of presumptive conclusions concerning the interlocutor’s (...)
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  • Why homoeopathy is pseudoscience.Nikil Mukerji & Edzard Ernst - 2022 - Synthese 200 (5):1-29.
    Homoeopathy is commonly recognised as pseudoscience. However, there is, to date, no systematic discussion that seeks to establish this view. In this paper, we try to fill this gap. We explain the nature of homoeopathy, discuss the notion of pseudoscience, and provide illustrative examples from the literature indicating why homoeopathy fits the bill. Our argument contains a conceptual and an empirical part. In the conceptual part, we introduce the premise that a doctrine qualifies as a pseudoscience if, firstly, its proponents (...)
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  • Secundum Quid and the Pragmatics of Arguments. The Challenges of the Dialectical Tradition.Fabrizio Macagno - 2022 - Argumentation 36 (3):317-343.
    The phrase _secundum quid et simpliciter_ is the Latin expression translating and labelling the sophism described by Aristotle as connected with the use of some particular expression “absolutely or in a certain respect and not in its proper sense.” This paper presents an overview of the analysis of this fallacy in the history of dialectics, reconstructing the different explanations provided in the Aristotelian texts, the Latin and medieval dialectical tradition, and the modern logical approaches. The _secundum quid_ emerges as a (...)
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  • Coherence of Inferences.Matheus Silva - manuscript
    It is usually accepted that deductions are non-informative and monotonic, inductions are informative and nonmonotonic, abductions create hypotheses but are epistemically irrelevant, and both deductions and inductions can’t provide new insights. In this article, I attempt to provide a more cohesive view of the subject with the following hypotheses: (1) the paradigmatic examples of deductions, such as modus ponens and hypothetical syllogism, are not inferential forms, but coherence requirements for inferences; (2) since any reasoner aims to be coherent, any inference (...)
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  • Bothsiderism.Scott F. Aikin & John P. Casey - 2022 - Argumentation 36 (2):249-268.
    This paper offers an account of a fallacy we will call bothsiderism, which is to mistake disagreement on an issue for evidence that either a compromise on, suspension of judgment regarding, or continued discussion of the issue is in order. Our view is that this is a fallacy of a unique and heretofore untheorized type, a fallacy of meta-argumentation. The paper develops as follows. After a brief introduction, we examine a recent bothsiderist case in American politics. We use this as (...)
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  • Handbook of Argumentation Theory.Frans H. van Eemeren, Bart Garssen, Erik C. W. Krabbe, A. Francisca Snoeck Henkemans, Bart Verheij & Jean H. M. Wagemans - 2014 - Dordrecht, Netherland: Springer.
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  • La teoría del silogismo simpliciter en las Refutaciones Sofísticas de Aristóteles.Gonzalo Llach Villalobos - 2020 - Dissertation, Pontifical Catholic University of Chile
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  • The Sources of Mill’s View of Ratiocination and Induction.Steffen Ducheyne & John P. McCaskey - 2014 - In Antis Loizides (ed.), Mill’s a System of Logic: Critical Appraisals. New York: Routledge.
    The philosophical background important to Mill’s theory of induction has two major components: Richard Whately’s introduction of the uniformity principle into inductive inference and the loss of the idea of formal cause.
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  • Laws of Thought and Laws of Logic after Kant.Lydia Patton - 2018 - In Sandra Lapointe (ed.), Logic from Kant to Russell. New York: Routledge. pp. 123-137.
    George Boole emerged from the British tradition of the “New Analytic”, known for the view that the laws of logic are laws of thought. Logicians in the New Analytic tradition were influenced by the work of Immanuel Kant, and by the German logicians Wilhelm Traugott Krug and Wilhelm Esser, among others. In his 1854 work An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Boole argues that the laws of thought acquire (...)
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  • El uso de falacias en la comunicación absurda.Jesús Portillo Fernández - 2018 - Logos: Revista de Lingüística, Filosofía y Literatura 28 (2):443-458.
    In this paper we study the inferential analysis of the use of fallacies as a source of absurd communication. Starting from a diachronic review of perpectives, criteria and classification of fallacies, we analyze the fallacious arguments used in absurd discourses which are meant to trigger humor as well as the dislocation of the communicative sense.
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  • On the difference between fallacy and sophism.Dufour Michel - unknown
    The translation into French of the English word “fallacy” opens a discussion on the difference between fallacy and sophism in English. The two words are sometimes synonyms, but a difference is sometimes made on the ground that a sophism is deliberate and a fallacy is non-deliberate. In a second part of the paper this distinctive criterion is taken seriously to discuss the relative frequency of sophisms and of fallacies for a typical kind of fallacious argument. I claim that this aspect (...)
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  • Sentence, Proposition, Judgment, Statement, and Fact: Speaking about the Written English Used in Logic.John Corcoran - 2009 - In W. A. Carnielli (ed.), The Many Sides of Logic. College Publications. pp. 71-103.
    The five English words—sentence, proposition, judgment, statement, and fact—are central to coherent discussion in logic. However, each is ambiguous in that logicians use each with multiple normal meanings. Several of their meanings are vague in the sense of admitting borderline cases. In the course of displaying and describing the phenomena discussed using these words, this paper juxtaposes, distinguishes, and analyzes several senses of these and related words, focusing on a constellation of recommended senses. One of the purposes of this paper (...)
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  • Do Syllogisms Commit the Petitio Principii? The Role of Inference-Rules in Mill's Logic of Truth.David Botting - 2014 - History and Philosophy of Logic 35 (3):237-247.
    It is a common complaint that the syllogism commits a petitio principii. This is discussed extensively by John Stuart Mill in ‘A System of Logic’ [1882. Eighth Edition, New York: Harper and Brothers] but is much older, being reported in Sextus Empiricus in chapter 17 of the ‘Outlines of Pyrrhonism’ [1933. in R. G. Bury, Works, London and New York: Loeb Classical Library]. Current wisdom has it that Mill gives an account of the syllogism that avoids being a petitio by (...)
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  • Argument Diagramming in Logic, Artificial Intelligence, and Law.Chris Reed, Douglas Walton & Fabrizio Macagno - 2007 - The Knowledge Engineering Review 22 (1):87-109.
    In this paper, we present a survey of the development of the technique of argument diagramming covering not only the fields in which it originated - informal logic, argumentation theory, evidence law and legal reasoning – but also more recent work in applying and developing it in computer science and artificial intelligence. Beginning with a simple example of an everyday argument, we present an analysis of it visualised as an argument diagram constructed using a software tool. In the context of (...)
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  • Revision and Immortality in Philosophical Argumentation: Continuing Thoughts on the Rhetorical Wedge.Mari Lee Mifsud - 2001 - Informal Logic 21 (1).
    This essay explores Johnstone's idea that "rhetoric is a wedge." In particular, it explores the place of this idea in Johnstone's philosophy of argument, the need to confront this idea with argument, and ways of confronting it with ad rem and ad hominem arguments.
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  • Evaluating the Meta-Slope: Is there a Slippery Slope Argument against Slippery Slope Arguments? [REVIEW]Adam Corner & Ulrike Hahn - 2007 - Argumentation 21 (4):349-359.
    Slippery slope arguments (SSAs) have often been viewed as inherently weak arguments, to be classified together with traditional fallacies of reasoning and argumentation such as circular arguments and arguments from ignorance. Over the last two decades several philosophers have taken a kinder view, often providing historical examples of the kind of gradual change on which slippery slope arguments rely. Against this background, Enoch (2001, Oxford Journal of Legal Studies 21(4), 629–647) presented a novel argument against SSA use that itself invokes (...)
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  • The concept of relevance and the logic diagram tradition.Jan Dejnožka - 2010 - Logica Universalis 4 (1):67-135.
    What is logical relevance? Anderson and Belnap say that the “modern classical tradition [,] stemming from Frege and Whitehead-Russell, gave no consideration whatsoever to the classical notion of relevance.” But just what is this classical notion? I argue that the relevance tradition is implicitly most deeply concerned with the containment of truth-grounds, less deeply with the containment of classes, and least of all with variable sharing in the Anderson–Belnap manner. Thus modern classical logicians such as Peirce, Frege, Russell, Wittgenstein, and (...)
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  • Trémaux on species: A theory of allopatric speciation (and punctuated equilibrium) before Wagner.John S. Wilkins & Gareth J. Nelson - 2008 - History and Philosophy of the Life Sciences 30 (1):179-206.
    Pierre Trémaux’s 1865 ideas on speciation have been unjustly derided following his acceptance by Marx and rejection by Engels, and almost nobody has read his ideas in a charitable light. Here we offer an interpretation based on translating the term sol as “habitat”, in order to show that Trémaux proposed a theory of allopatric speciation before Wagner and a punctuated equilibrium theory before Gould and Eldredge, and translate the relevant discussion from the French. We believe he may have influenced Darwin’s (...)
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  • Ignoring Qualifications as a Pragmatic Fallacy: Enrichments and Their Use for Manipulating Commitments.Fabrizio Macagno - 2022 - Langages 1 (13).
    The fallacy of ignoring qualifications, or secundum quid et simpliciter, is a deceptive strategy that is pervasive in argumentative dialogues, discourses, and discussions. It consists in misrepresenting an utterance so that its meaning is broadened, narrowed, or simply modified to pursue different goals, such as drawing a specific conclusion, attacking the interlocutor, or generating humorous reactions. The “secundum quid” was described by Aristotle as an interpretative manipulative strategy, based on the contrast between the “proper” sense of a statement and its (...)
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  • Attacking authority.Matthews Steve - 2011 - Australian Journal of Professional and Applied Ethics 13 (2):59-70.
    The quality of our public discourse – think of the climate change debate for instance – is never very high. A day spent observing it reveals a litany of misrepresentation and error, argumentative fallacy, and a general lack of good will. In this paper I focus on a microcosmic aspect of these practices: the use of two types of argument – the argumentum ad hominem and appeal to authority – and a way in which they are related. Public debate is (...)
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  • Reflections on Theoretical Issues in Argumentation Theory.Frans Hendrik van Eemeren & Bart Garssen (eds.) - 2015 - Cham, Switzerland: Springer.
    This volume presents a selection of papers reflecting key theoretical issues in argumentation theory. Its six sections are devoted to specific themes, including the analysis and evaluation of argumentation, argument schemes and the contextual embedding of argumentation. The section on general perspectives on argumentation discusses the trends of empiricalization, contextualization and formalization, offers descriptions of the analytical and evaluative tools of informal logic, and highlights selected principles that argumentation theorists do and do not agree upon. In turn, the section on (...)
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  • The ad Hominem argument as an informal fallacy.Douglas N. Walton - 1987 - Argumentation 1 (3):317-331.
    This article outlines criteria for the evaluation of the argumentum ad hominem (argument against the person, or personal attack in argument) that is traditionally a part of the curriculum in informal logic. The argument is shown to be a kind of criticism which works by shifting the burden of proof in dialogue through citing a pragmatic inconsistency in an arguer's position. Several specific cases of ad hominem argumentation which pose interesting problems in analyzing this type of criticism are studied.
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  • A Survey of Inductive Generalization.John D. Norton - unknown
    Inductive generalization asserts that what obtains in known instances can be generalized to all. Its original form is enumerative induction, the earliest form of inductive inference, and it has been elaborated in various ways, largely with the goal of extending its reach. Its principal problem is that it supplies no intrinsic notion of strength of support so that one cannot tell if the generalization has weak or strong support.
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  • (1 other version)Essay Review.Volker Peckhaus - 1997 - History and Philosophy of Logic 18 (2):115-120.
    Jarmo Pulkkinen, The threat of logical mathematism. A study on the critique of mathematical logic in Germany at the turn of the 20th century. Frankfurt a.M:Peter Lang, 1994. Scandinavian University Studies in the Humanities and Social Sciences; 7). 186 pp. 24 DM. ISBN 3-631-47409-1.
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  • The disunity of truth.Josh Dever - 2008 - In Robert Stainton & Christopher Viger (eds.), Compositionality, Context, and Semantic Values: Essays in Honor of Ernie Lepore. Springer. pp. 174-191.
    §§3-4 of the Begriffsschrift present Frege’s objections to a dominant if murky nineteenth-century semantic picture. I sketch a minimalist variant of the pre-Fregean picture which escapes Frege’s criticisms by positing a thin notion of semantic content which then interacts with a multiplicity of kinds of truth to account for phenomena such as modality. After exploring several ways in which we can understand the existence of multiple truth properties, I discuss the roles of pointwise and setwise truth properties in modal logic. (...)
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  • Miracles.Michael Levine - 2008 - Stanford Encyclopedia of Philosophy.
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  • The Neglect of Epistemic Considerations in Logic: The Case of Epistemic Assumptions.Göran Sundholm - 2019 - Topoi 38 (3):551-559.
    The two different layers of logical theory—epistemological and ontological—are considered and explained. Special attention is given to epistemic assumptions of the kind that a judgement is granted as known, and their role in validating rules of inference, namely to aid the inferential preservation of epistemic matters from premise judgements to conclusion judgement, while ordinary Natural Deduction assumptions serve to establish the holding of consequence from antecedent propositions to succedent proposition.
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  • Epistemic and Dialectical Models of Begging the Question.Douglas Walton - 2006 - Synthese 152 (2):237-284.
    This paper addresses the problem posed by the current split between the two opposed hypotheses in the growing literature on the fallacy of begging the question the epistemic hypothesis, based on knowledge and belief, and the dialectical one, based on formal dialogue systems. In the first section, the nature of split is explained, and it is shown how each hypothesis has developed. To get the beginning reader up to speed in the literature, a number of key problematic examples are analyzed (...)
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  • A Place for Figures of Speech in Argumentation Theory.Christian Plantin - 2009 - Argumentation 23 (3):325-337.
    This paper deals with the treatment of figures of speech in Perelman’s and Olbrechts-Tyteca’s Treatise on Argumentation (TA), and, more broadly, with the place of figures in argumentation theory. The contrast between two conceptions (or two domains)\n of rhetoric, “a rhetoric of figures” and “a rhetoric of argument” can be traced back to Ramus, and it has been revived in\n the seventies through the perception of an incommensurability between Perelman’s “New Rhetoric” and the École de Liège’s “General\n Rhetoric”. Modern theories (...)
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  • Relevance.David Hitchcock - 1992 - Argumentation 6 (2):251-270.
    Relevance is a triadic relation between an item, an outcome or goal, and a situation. Causal relevance consists in an item's ability to help produce an outcome in a situation. Epistemic relevance, a distinct concept, consists in the ability of a piece of information (or a speech act communicating or requesting a piece of information) to help achieve an epistemic goal in a situation. It has this ability when it can be ineliminably combined with other at least potentially accurate information (...)
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  • Charles Peirce's Reading of Richard Whately's Elements of Logic.Charles Seibert - 2005 - History and Philosophy of Logic 26 (1):1-32.
    Charles S. Peirce frequently mentioned reading Richard Whately's Elements of Logic when he was 12 years old. Throughout his life, Peirce emphasized the importance of that experience. This valorization of Whately is puzzling at first. Early in his career Peirce rejected Whately's central logical doctrines. What valuable insight concerning logic was robust enough to survive these specific rejections? Peirce recommended a biographical approach to understanding his philosophy. This essay follows that suggestion by considering Peirce's reading of Whately in a larger (...)
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  • Composition and division.John Woods & Douglas Walton - 1977 - Studia Logica 36 (4):381 - 406.
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  • Locke‐Stewart‐Mill: Philosophy of science at Dartmouth College, 1771‐1854.David K. Nartonis - 2001 - International Studies in the Philosophy of Science 15 (2):167 – 175.
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  • Four Terms.Charlene Elsby - 2018-05-09 - In Robert Arp, Steven Barbone & Michael Bruce (eds.), Bad Arguments. Wiley. pp. 55–59.
    This chapter focuses on one of the common fallacies in Western philosophy called four terms (FT). The fallacy of FT violates the very first rule of constructing a valid syllogism: any syllogism must contain three and only three terms. These terms have, since Aristotle, been called the major, the minor, and the middle. The major and minor are also called the “extremes” of a syllogism, since they lie on either extreme of the middle term. In a valid syllogism, the major (...)
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  • Just Following the Rules: Collapse / Incoherence Problems in Ethics, Epistemology, and Argumentation Theory.Patrick Bondy - 2020 - In J. Anthony Blair & Christopher W. Tindale (eds.), Rigour and Reason: Essays in Honour of Hans Vilhelm Hansen. University of Windsor. pp. 172-202.
    This essay addresses the collapse/incoherence problem for normative frameworks that contain both fundamental values and rules for promoting those values. The problem is that in some cases, we would bring about more of the fundamental value by violating the framework’s rules than by following them. In such cases, if the framework requires us to follow the rules anyway, then it appears to be incoherent; but if it allows us to make exceptions to the rules, then the framework “collapses” into one (...)
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  • Johnson and the Soundness Doctrine.David Botting - 2016 - Argumentation 30 (4):501-525.
    Why informal logic? Informal logic is a group of proposals meant to contrast with, replace, and reject formal logic, at least for the analysis and evaluation of everyday arguments. Why reject formal logic? Formal logic is criticized and claimed to be inadequate because of its commitment to the soundness doctrine. In this paper I will examine and try to respond to some of these criticisms. It is not my aim to examine every argument ever given against formal logic; I am (...)
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  • Did Jesus Commit a Fallacy?David Hitchcock - unknown
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  • Valid Ad Hominem Arguments in Philosophy: Johnstone's Metaphilosophical Informal Logic.Maurice A. Finocchiaro - 2001 - Informal Logic 21 (1).
    This is a critical examination of Johnstone's thesis that all valid philosophical arguments are ad hominem. I clarify his notions of valid, philosophical, and ad hominem. I illustrate the thesis with his refutation ofthe claim that only ordinary language is correct. r discuss his three supporting arguments (historical, theoretical, and intermediate). And r criticize the thesis with the objections that if an ad hominem argument is valid, it is really ad rem; that it's unclear how his own theoretical argument can (...)
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  • Begging the Question in Arguments Based on Testimony.Douglas Walton - 2005 - Argumentation 19 (1):85-113.
    SummaryThis paper studies some classic cases of the fallacy of begging the question based on appeals to testimony containing circular reasoning. For example, suppose agents a, b and c vouch for d’s credentials, and agents b, d, and e vouch for a’s credentials. Such a sequence of reasoning is circular because a is offering testimony for d but d is offering testimony for a. The paper formulates and evaluates restrictions on the use of testimonial evidence that might be used to (...)
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