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Elements of logic

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

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  1. Robert Leslie Ellis and John Stuart mill on the one and the many of frequentism.Berna Kilinç - 2000 - British Journal for the History of Philosophy 8 (2):251-274.
    (2000). ROBERT LESLIE ELLIS AND JOHN STUART MILL ON THE ONE AND THE MANY OF FREQUENTISM. British Journal for the History of Philosophy: Vol. 8, No. 2, pp. 251-274.
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  • Did Jesus Commit a Fallacy?Aaron Ben-Zeev - 1995 - Informal Logic 17 (2).
    Jesus has been accused of committing a fallacy (of denying the antecedent) at John 8:47. Careful analysis of this text (1) reveals a hitherto unrecognized valid form of argument which can superficially look like the predicate-logic analogue of denying the antecedent; (2) shows that determining whether a published text can be fairly charged with committing a fallacy may require (but often does not get) extensive and detailed analysis; (3) acquits Jesus of the charge; and thereby (4) conflnns a claim 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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  • 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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  • Guest Editor’s Introduction: JvH100. [REVIEW]Irving H. Anellis - 2012 - Logica Universalis 6 (3-4):249-267.
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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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  • Nineteenth Century British Logic on Hypotheticals, Conditionals, and Implication.Francine F. Abeles - 2014 - History and Philosophy of Logic 35 (1):1-14.
    Hypotheticals, conditionals, and their connecting relation, implication, dramatically changed their meanings during the nineteenth and early part of the twentieth century. Modern logicians ordinarily do not distinguish between the terms hypothetical and conditional. Yet in the late nineteenth century their meanings were quite different, their ties to the implication relation either were unclear, or the implication relation was used exclusively as a logical operator. I will trace the development of implication as an inference operator from these earlier notions into the (...)
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  • The Philosophy of Error and Liberty of Thought: J.S. Mill on Logical Fallacies.Frederick Rosen - 2006 - Informal Logic 26 (2):121-147.
    Most recent discussions of John Stuart Mill’s System of Logic (1843) neglect the fifth book concerned with logical fallacies. Mill not only follows the revival of interest in the traditional Aristotelian doctrine of fallacies in Richard Whately and Augustus De Morgan, but he also develops new categories and an original analysis which enhance the study of fallacies within the context of what he calls ‘the philosophy of error’. After an exploration of this approach, the essay relates the philosophy of error (...)
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  • Composition and division.John Woods & Douglas Walton - 1977 - Studia Logica 36 (4):381 - 406.
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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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  • Reconsidering Contentious Argument: Augustus DeMorgan on Fallacy. [REVIEW]Marie J. Secor - 2003 - Argumentation 17 (2):131-143.
    This essay examines Augustus DeMorgan's chapter on fallacy in his Formal Logic (1847) in order to show how DeMorgan's treatment represents an expansion and advance upon Aristotle. It is important that Aristotle clearly distinguishes among dialectical, didactic, demonstrative, and contentious types of argument, based upon the acceptability of premises and the aims of participants. Appropriating Aristotle's list of fallacies, DeMorgan discusses examples that reveal how the charge and countercharge of fallacy function in contentious argument, which is more widespread than Aristotle (...)
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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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  • 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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  • Observations on the distribution and "significance" of terms in propositions.A. R. Walker - 1960 - Australasian Journal of Philosophy 38 (2):120 – 136.
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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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  • Begging the question as a pragmatic fallacy.Douglas N. Walton - 1994 - Synthese 100 (1):95 - 131.
    The aim of this paper is to make it clear how and why begging the question should be seen as a pragmatic fallacy which can only be properly evaluated in a context of dialogue. Included in the paper is a review of the contemporary literature on begging the question that shows the gradual emergence over the past twenty years or so of the dialectical conception of this fallacy. A second aim of the paper is to investigate a number of general (...)
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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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  • (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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  • 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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  • (1 other version)Head or tail? de morgan on the bounds of traditional logic.Víctor Sánchez Valencia - 1997 - History and Philosophy of Logic 18 (3):123-138.
    This paper is concerned with De Morgan’s explanation of the validity of arguments that involve relational notions. It discusses De Morgan’s expansion of traditional logic aimed at accommodating those inferences, and makes the point that his endeavour is not successful in that the rules that made up his new logic are not sound. Nevertheless, the most important scholarly work on De Morgan’s logic, and contrary to that De Morgan’s mistake is not beyond repair. The rules that determine his new logic (...)
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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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  • A New–old Characterisation of Logical Knowledge.Ivor Grattan-Guinness - 2012 - History and Philosophy of Logic 33 (3):245 - 290.
    We seek means of distinguishing logical knowledge from other kinds of knowledge, especially mathematics. The attempt is restricted to classical two-valued logic and assumes that the basic notion in logic is the proposition. First, we explain the distinction between the parts and the moments of a whole, and theories of ?sortal terms?, two theories that will feature prominently. Second, we propose that logic comprises four ?momental sectors?: the propositional and the functional calculi, the calculus of asserted propositions, and rules for (...)
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  • The development of probability logic from leibniz to maccoll.Theodore Hailperin - 1988 - History and Philosophy of Logic 9 (2):131-191.
    The introduction has a brief statement, sufficient for the purpose of this paper, which describes in general terms the notion of probability logic on which the paper is based. Contributions made in the eighteenth century by Leibniz, Jacob Bernoulli and Lambert, and in the nineteenth century by Bolzano, De Morgan, Boole, Peirce and MacColl are critically examined from a contemporary point of view. Historicity is maintained by liberal quotations from the original sources accompanied by interpretive explanation. Concluding the paper is (...)
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  • The doctrine of distribution.Terence Parsons - 2006 - History and Philosophy of Logic 27 (1):59-74.
    Peter Geach describes the 'doctrine of distribution' as the view that a term is distributed if it refers to everything that it denotes, and undistributed if it refers to only some of the things that it denotes. He argues that the notion, so explained, is incoherent. He claims that the doctrine of distribution originates from a degenerate use of the notion of ?distributive supposition? in medieval supposition theory sometime in the 16th century. This paper proposes instead that the doctrine of (...)
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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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  • Informal Logic.Leo Groarke - 1996 - Stanford Encyclopedia of Philosophy.
    Informal logic is an attempt to develop a logic that can assess and analyze the arguments that occur in natural language discourse. Discussions in the field may address instances of scientific, legal, and other technical forms of reasoning, but the overriding aim has been a comprehensive account of argument that can explain and evaluate the arguments found in discussion, debate and disagreement as they manifest themselves in daily life — in social and political commentary; in news reports and editorials in (...)
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  • Miracles.Timothy McGrew - 2011 - Stanford Encyclopedia of Philosophy.
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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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  • 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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  • Philosophical Argumentation: Logic and Rhetoric. [REVIEW]S. Frogel - 2004 - Argumentation 18 (2):171-188.
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  • Proof and implication in mill's philosophy of logic.Geoffrey Scarre - 1984 - History and Philosophy of Logic 5 (1):19-37.
    Following a brief preface, the second section of this paper discusses Mill's early reflections on the problem of how deductive inference can be illuminating. In the third section it is suggested that in his Logic Mill misconstrued the feature that the premises of a logically valid argument contain the conclusion as the ground of a charge that deductive proof is question-begging. The fourth section discusses the nature of the traditional petitio objection to syllogism, and the fifth shows that Mill had (...)
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  • Towards Formal Representation and Evaluation of Arguments.Marcin Selinger - 2014 - Argumentation 28 (3):379-393.
    The aim of this paper is to propose foundations for a formal model of representation and numerical evaluation of a possibly broad class of arguments, including those that occur in natural discourse. Since one of the most characteristic features of everyday argumentation is the occurrence of convergent reasoning, special attention should be paid to the operation ⊕, which allows us to calculate the logical force of convergent arguments with an accuracy not offered by other approaches.
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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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  • George Boole.Stanley Burris - 2010 - Stanford Encyclopedia of Philosophy.
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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 punctuational sources of the truth-functional 'or'.R. E. Jennings - 1986 - Philosophical Studies 50 (2):237-259.
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  • Confirmation of a conjecture of Peter of Spain concerning question-begging arguments.Jim Mackenzie - 1984 - Journal of Philosophical Logic 13 (1):35 - 45.
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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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  • Analysis versus laws boole’s explanatory psychologism versus his explanatory anti-psychologism.Nicla Vassallo - 1997 - History and Philosophy of Logic 18 (3):151-163.
    This paper discusses George Boole’s two distinct approaches to the explanatory relationship between logical and psychological theory. It is argued that, whereas in his first book he attributes a substantive role to psychology in the foundation of logical theory, in his second work he abandons that position in favour of a linguistically conceived foundation. The early Boole espoused a type of psychologism and later came to adopt a type of anti-psychologism. To appreciate this invites a far-reaching reassessment of his philosophy (...)
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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.
    (2001). Locke‐Stewart‐Mill: Philosophy of science at Dartmouth College, 1771‐1854. International Studies in the Philosophy of Science: Vol. 15, No. 2, pp. 167-175.
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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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  • 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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  • 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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  • 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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  • Distinguo: The response to equivocation. [REVIEW]Jim Mackenzie - 1988 - Argumentation 2 (4):465-482.
    Logical guarantees of validity must be understood as subject to the proviso that no equivocation is committed. But we do not have a formal theory of equivocation. This paper attempts to formulate rules for responding to equivocal arguments in the context of dialogue. What occurs when one distinguishes meanings of an equivocal expression turns out to be rather different from definition.
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  • It's All Very Well for You to Talk! Situationally Disqualifying Ad Hominem Attacks.Erik C. W. Krabbe & Douglas Walton - 1993 - Informal Logic 15 (2).
    The situationally disqualifying ad hominem attack is an argumentative move in critical dialogue whereby one participant points out certain features in his adversary's personal situation that are claimed to make it inappropriate for this adversary to take a particular point of view, to argue in a particular way, or to launch certain criticisms. In this paper, we discuss some examples of this way of arguing. Other types of ad hominem argumentation are discussed as well and compared with the situationally disqualifying (...)
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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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  • 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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  • Cicero's authority.Jean Goodwin - 1999 - Philosophy and Rhetoric 34 (1):38-60.
    In this paper I propose to continue the analysis of the appeal to authority begun at the last OSSA conference. I proceed by examining the well-documented use of the appeal made by the ancient Roman advocate, Cicero. The fact that Cicero expressed his opinion was expectably sufficient to give his auditors--responsible citizens all--reason to do as he desired. But why? The resolution of this puzzle points to a strong sense in which arguments can be called rhetorical , for the rational (...)
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  • Completion, reduction and analysis: three proof-theoretic processes in aristotle’s prior analytics.George Boger - 1998 - History and Philosophy of Logic 19 (4):187-226.
    Three distinctly different interpretations of Aristotle’s notion of a sullogismos in Prior Analytics can be traced: (1) a valid or invalid premise-conclusion argument (2) a single, logically true conditional proposition and (3) a cogent argumentation or deduction. Remarkably the three interpretations hold similar notions about the logical relationships among the sullogismoi. This is most apparent in their conflating three processes that Aristotle especially distinguishes: completion (A4-6)reduction(A7) and analysis (A45). Interpretive problems result from not sufficiently recognizing Aristotle’s remarkable degree of metalogical (...)
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