Studies of Aristotle’s syllogistic system, since Corcoran’s deductionist interpretation supplanted Łukasiewicz’ axiomaticist interpretation, misrepresent Aristotle’s logic in two important respects. Following Corcoran, they take indirect deduction to occur only once in a deduction discourse; they then obviate the system having a reductio rule. Second, they represent reduction as a deductive process for deriving ‘imperfect’ syllogisms from ‘perfect’ syllogisms to impose an axiomatic interpretation on the logic. Denying that Aristotle's logic admits of a reductio rule results from this misrepresentation of reduction. (...) This discussion shows that the defects imputed to Aristotle's logic, and systems devised to resolve them, result from misunderstanding reduction, which itself results from misapprehending Prior Analytics expressly to identify in a metadiscourse deduction rules and not deductions per se. (shrink)

Argumentation logicians have recognized a specter of relativism to haunt their philosophy of argument. However, their attempts to dispel pernicious relativism by invoking notions of a universal audience or a community of model interlocutors have not been entirely successful. In fact, their various discussions of a universal audience invoke the context-eschewing formalism of Kant’s categorical imperative. Moreover, they embrace the Kantian method for resolving the antinomies that continually vacillates between opposing extremes – here between a transcendent universal audience and a (...) context-embedded particular audience. This tack ironically restores the very external mediation they thought to obviate in their aim to ‘dethrone’ the absolutism and totalitarianism of formal logic with a democratic turn to audience adherence, the acceptability of premises and inferential links, and a contextual, or participant-relative, notion of cogency. (shrink)

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 (...) sophistication to distinguish logical syntax from semantics and, thus, also from not grasping him to refine the deduction system of his underlying logic. While it is obvious that Aristotle most often uses ‘sullogimos’ to denote a valid argument of a certain kind, we show that at Prior Analytics A4-6, 7, 45 Aristotle specifically treats a sullogismos as an elemental argument pattern having only valid instances and that such a pattern then serves as a rule of deduction in his syllogistic logic. By extracting Aristotle’s understanding of three proof-theoretic processes, this paper provides new insight into what Aristotle thinks reasoning syllogistically is and, moreover, it resolves three problems in the most recent interpretation that takes a sullogismos to be a deduction. (shrink)

This discussion reviews the thinking of some prominent philosophers of argument to extract principles common to their thinking. It shows that a growing concern with dialogical pragmatics is better appreciated as a part of applied ethics than of applied epistemology. The discussion concludes by indicating a possible consequence for philosophy of argument and invites further discussion by asking whether argumentation philosophy has an implicit, underlying moral, or even political, posture.

Not until the early 1920’s was it possible to distinguish Aristotelian or traditional logic from Aristotle’s own ancient logic. We can now recognize many aspects of his logical investigations that are themselves modern, in the sense that modern logicians are making discoveries that Aristotle had already made or had anticipated. Here we gather five salient features of Aristotle’s logical investigations that reveal a striking philosophical modernity: 1) Aristotle took logic to be that part of epistemology used to establish knowledge of (...) logical consequence; 2) Prior Analytics is a metalogical treatise on the syllogistic deduction system; 3) Aristotle recognized the epistemic efficacy of certain elemental argument patterns, and he explicitly formulated them as rules of natural deduction in corresponding sentences; 4) Prior Analytics is a proof-theoretic treatise in which Aristotle describes a natural deduction system and demonstrates certain of the logical relationships among syllogistic deduction rules ; and finally, 5) Aristotle worked with a notion of substitution sufficient for distinguishing logical syntax and semantics. In this connection he also distinguished validity from deducibility sufficiently well to note the completeness of his logic. (shrink)

Contemporary logicians continue to address problems associated with the existential import of categorical propositions. One notable problem concerns invalid instances of subalternation in the case of a universal proposition with an empty subject term. To remedy problems, logicians restrict first-order predicate logics to exclude such terms. Examining the historical origins of contemporary discussions reveals that logicians continue to make various category mistakes. We now believe that no proposition per se has existential import as commonly understood and thus it is unnecessary (...) to restrict first-order predicate logics to non-empty classes. After introducing the problem, we trace some nineteenth century treatments of the issue to locate a source of misconstruing propositional import in misconceptions of ‘implies’ and ‘affirms’ and name the process/product fallacy, along with the translation of categorical sentences using quantifiers and accommodating an empty class. Next we treat some metalogical matters to orient our discussion by which we provide a more precise nomenclature about ‘sentence’ and ‘proposition’ to correct previous misconceptions; here we uncover a common category mistake in respect of a proposition’s efficacy. The semantic distinction between agent and force is helpful in this connection. We conclude by showing that logicians have reinserted existence as a predicate, a position previously excised by Kant, and that the Frege-Russell ambiguity thesis applies only to relationships within a categorical sentence between grammatical predicate and subject. (shrink)

The obstacle to more objective knowledge of early Pythagoreanism is the ideological conflict over the proper mission of historiography. Not only the confusing evidence, but also the different investigative procedures and theories of history employed, make solving the Pythagorean problem difficult. I analyze the historiographic methodologies of some modern historians of Pythagoreanism in respect to the kinds of historical explanation they provide. Immediately ideological controversy arises between idealist and materialist historians. ;My critical evaluation proceeds from two theses. The content of (...) ideas reflects their social referents. Consequently, one must identify the class interests of early Pythagoreans. Writing history is a contemporary undertaking by which historians reflect their own social interests. Therefore, historiographic methodology continually must be objectified to overcome the subjectivism of historical relativism. ;I review the reconstructions of six historians. John Burnet, an empiricist, held that the Greeks entirely broke from their religious past to develop philosophy. F. M. Cornford, a Durkheimian, used anthropology to reveal philosophy's totemic content. J. E. Raven is a philologist; he maintaned that ancient philosophy was the Eleatic-Pythagorean debate. W. K. C. Guthrie, an eclectic, held that science served Pythagorean religious interests. These idealist historians attributed the Greek achievement to absolutized temperaments or racial factors; the development of ideas is not mediated by practical necessity. George Thomson and Alban Winspear are historical materialists. They explained ancient philosophy by showing the class interests of philosophers in a mercantile economy based on slave labor. ;After introducing the Pythagorean problem, I present, by chapter, first an exposition of each historian's account of the causes of Greek philosophy and then his exposition of early Pythagoreanism. My analyses follow each section. In the first part of the final chapter I discuss each historian in the context of the ideological controversy. In the second part I present a general outline of procedure for scientific historiography. (shrink)

Aristotle studies syllogistic argumentation in Sophistical Refutations and Prior Analytics. In the latter he focuses on the formal and syntactic character of arguments and treats the sullogismoi and non-sullogismoi as argument patterns with valid or invalid instances. In the former Aristotle focuses on semantics and rhetoric to study apparent sullogismoi as object language arguments. Interpreters usually take Sophistical Refutations as considerably less mature than Prior Analytics. Our interpretation holds that the two works are more of a piece than previously believed (...) and, indeed, that Aristotle's treatment of fallacious reasoning presupposes the results of the formal theory. (shrink)

We can now recognize Aristotle's many accomplishments in logical theory, not the least of which is treating the deduction process itself as a subject matter and thus establishing the science of logic. Aristotle took logic to be that part of epistemolo gy used to establish knowledge of logical consequence. Prior Analytics is a metalogical treatise on his syllogistic system in which Aristotle modelled his deduction system to demonstrate certain logical relationships among its rules. Aristotle's n otion of substitution distinguishes logical (...) syntax from semantics and enabled him to distinguish validity from deducibility sufficiently to note the completeness of his logic. (shrink)

Infusing logic with new rhetoric, dialogical pragmatics, and emphasizing argument context revolutionized the practice of logic. Critiquing oppressive practices and promoting justice, argumentationists empower participants to mediate their own argumentative situations. Against relativism to rescue the normative utility of good argument, argumentationists invoke the universal audience. Still, context-concerns eclipse its independence or resurrect rationalist absolutism. This vacillation imposes an external mediation that subverts establishing theoretical ground for promoting an empowering culture of justice.

This paper examines whether philosophers of argument, in spite of their disavowing ‘timeless principles’, nevertheless embrace a set of principles, or axioms, to underlie argumentation theory. First, it reviews the thinking of some prominent philosophers of argument; second, it extracts some principles common to their philosophies; and third, it draws out possible consequences for argumentation theory and asks whether such theory has an underlying political posture.

Humanist concerns to empower human beings and to promote justice inspired the modern argumentation movement. Turning to audience adherence and acceptability of inferential links raised a spectre of pernicious relativism that undermines concerns for justice. Invoking Perelman’s universal audi-ence as a remedy only begs the question with ‘whose universal audience?’ and frustrates fulfilling the jus-tice commitment. Turning discourse toward the common good better addresses concerns of justice and social justice.

John Corcoran and George Boger. Aristotelian logic and Euclidean geometry. Bulletin of Symbolic Logic. 20 (2014) 131. -/- By an Aristotelian logic we mean any system of direct and indirect deductions, chains of reasoning linking conclusions to premises—complete syllogisms, to use Aristotle’s phrase—1) intended to show that their conclusions follow logically from their respective premises and 2) resembling those in Aristotle’s Prior Analytics. Such systems presuppose existence of cases where it is not obvious that the conclusion follows from (...) the premises: there must be something deductions can show. Corcoran calls a proposition that follows from given premises a hidden consequence of those premises if it is not obvious that the proposition follows from those premises. By a Euclidean geometry we mean an extended discourse beginning with basic premises—axioms, postulates, definitions—1) treating a universe of geometrical figures and 2) resembling Euclid’s Elements. There were Euclidean geometries before Euclid (fl. 300 BCE), even before Aristotle (384–322 BCE). Bochenski, Lukasiewicz, Patzig and others never new this or if they did they found it inconvenient to mention. Euclid shows no awareness of Aristotle. It is obvious today—as it should have been obvious in Euclid’s time, if anyone knew both—that Aristotle’s logic was insufficient for Euclid’s geometry: few if any geometrical theorems can be deduced from Euclid’s premises by means of Aristotle’s deductions. Aristotle’s writings don’t say whether his logic is sufficient for Euclidean geometry. But, there is not even one fully-presented example. However, Aristotle’s writings do make clear that he endorsed the goal of a sufficient system. Nevertheless, incredible as this is today, many logicians after Aristotle claimed that Aristotelian logics are sufficient for Euclidean geometries. This paper reviews and analyses such claims by Mill, Boole, De Morgan, Russell, Poincaré, and others. It also examines early contrary statements by Hintikka, Mueller, Smith, and others. Special attention is given to the argumentations pro or con and especially to their logical, epistemic, and ontological presuppositions. What methodology is necessary or sufficient to show that a given logic is adequate or inadequate to serve as the underlying logi of a given science. (shrink)

Corcoran’s 27 entries in the 1999 second edition of Robert Audi’s Cambridge Dictionary of Philosophy [Cambridge: Cambridge UP]. -/- ancestral, axiomatic method, borderline case, categoricity, Church (Alonzo), conditional, convention T, converse (outer and inner), corresponding conditional, degenerate case, domain, De Morgan, ellipsis, laws of thought, limiting case, logical form, logical subject, material adequacy, mathematical analysis, omega, proof by recursion, recursive function theory, scheme, scope, Tarski (Alfred), tautology, universe of discourse. -/- The entire work is available online free at more than (...) one website. Paste the whole URL. http://archive.org/stream/RobertiAudi_The.Cambridge.Dictionary.of.Philosophy/Robert.Audi_The.Cambrid ge.Dictionary.of.Philosophy -/- The 2015 third edition will be available soon. Before you think of buying it read some reviews on Amazon and read reviews of its competition: For example, my review of the 2008 Oxford Companion to Philosophy, History and Philosophy of Logic,29:3,291-292. URL: http://dx.doi.org/10.1080/01445340701300429 -/- Some of the entries have already been found to be flawed. For example, Tarski’s expression ‘materially adequate’ was misinterpreted in at least one article and it was misused in another where ‘materially correct’ should have been used. The discussion provides an opportunity to bring more flaws to light. -/- Acknowledgements: Each of these entries was presented at meetings of The Buffalo Logic Dictionary Project sponsored by The Buffalo Logic Colloquium. The members of the colloquium read drafts before the meetings and were generous with corrections, objections, and suggestions. Usually one 90-minute meeting was devoted to one entry although in some cases, for example, “axiomatic method”, took more than one meeting. Moreover, about half of the entries are rewrites of similarly named entries in the 1995 first edition. Besides the help received from people in Buffalo, help from elsewhere was received by email. We gratefully acknowledge the following: José Miguel Sagüillo, John Zeis, Stewart Shapiro, Davis Plache, Joseph Ernst, Richard Hull, Concha Martinez, Laura Arcila, James Gasser, Barry Smith, Randall Dipert, Stanley Ziewacz, Gerald Rising, Leonard Jacuzzo, George Boger, William Demopolous, David Hitchcock, John Dawson, Daniel Halpern, William Lawvere, John Kearns, Ky Herreid, Nicolas Goodman, William Parry, Charles Lambros, Harvey Friedman, George Weaver, Hughes Leblanc, James Munz, Herbert Bohnert, Robert Tragesser, David Levin, Sriram Nambiar, and others. -/- . (shrink)

This presentation includes a complete bibliography of John Corcoran’s publications relevant on Aristotle’s logic. The Sections I, II, III, and IV list respectively 23 articles, 44 abstracts, 3 books, and 11 reviews. Section I starts with two watershed articles published in 1972: the Philosophy & Phenomenological Research article—from Corcoran’s Philadelphia period that antedates his discovery of Aristotle’s natural deduction system—and the Journal of Symbolic Logic article—from his Buffalo period first reporting his original results. It ends with works published in 2015. (...) Some items are annotated as listed or with endnotes connecting them with other work and pointing out passages that, in retrospect, are seen to be misleading and in a few places erroneous. In addition, Section V, “Discussions”, is a nearly complete secondary bibliography of works describing, interpreting, extending, improving, supporting, and criticizing Corcoran’s work: 10 items published in the 1970s, 24 in the 1980s, 42 in the 1990s, 60 in the 2000s, and 70 in the current decade. The secondary bibliography is also annotated as listed or with endnotes: some simply quoting from the cited item, but several answering criticisms and identifying errors. Section VI, “Alternatives”, lists recent works on Aristotle’s logic oblivious of Corcoran’s research and, more generally in some cases, even of the Łukasiewicz-initiated tradition. As is evident from Section VII, “Acknowledgements”, Corcoran’s publications benefited from consultation with other scholars, most notably George Boger, Charles Kahn, John Mulhern, Mary Mulhern, Anthony Preus, Timothy Smiley, Michael Scanlan, Roberto Torretti, and Kevin Tracy. All of Corcoran’s Greek translations were done in collaboration with two or more classicists. Corcoran never published a sentence without discussing it with his colleagues and students. (shrink)

In what must be ranked as a foremost classic of twentieth-century political philosophy, George Santayana, in the preface to his last major work prior to his death, makes plain the limits as well as the aims of Dominations and Powers: "All that it professes to contain is glimpses of tragedy and comedy played unawares by governments; and a continual intuitive reduction of political maxims and institutions to the intimate spiritual fruits that they are capable of bearing." Completed at midpoint (...) in the century, but serving as his final masterpiece, Santayana's volume offers an ominous account of the weakness of the West, and its similarities in substance if not always in form with totalitarian systems of the East. Few analyses of concepts, such as government by the people; the price of peace and the suppression of warfare; the nature of elites and limits of egalitarianism; and the nature of authority in free societies, are more comprehensive or compelling. This is a carefully rendered statement on tasks of leadership for free societies that takes on added meaning after the fall of communism. (shrink)

A revision of George Kennedy's translation of, introdution to, and commentary on Aristotle's On Rhetoric. His translation is most accurate, his general introduction is the most thorough and insightful, and his brief introductions to sections of the work, along with his explanatory footnotes, are the most useful available.

This intriguing and ground-breaking book is the first in-depth study of the development of philosophy of science in the United States during the Cold War. It documents the political vitality of logical empiricism and Otto Neurath's Unity of Science Movement when these projects emigrated to the US in the 1930s and follows their de-politicization by a convergence of intellectual, cultural and political forces in the 1950s. Students of logical empiricism and the Vienna Circle treat these as strictly intellectual non-political projects. (...) In fact, the refugee philosophers of science were highly active politically and debated questions about values inside and outside science, as a result of which their philosophy of science was scrutinized politically both from within and without the profession, by such institutions as J. Edgar Hoover's FBI. It will prove absorbing reading to philosophers and historians of science, intellectual historians, and scholars of Cold War studies. (shrink)

This new edition of a standard reference of jurisprudence has been fully revised. Many recent developments which touch on the relationship of laws to morals--homosexuality, obscenity, suicide, and abortion--are discussed, together with controversial economic aspects of modern legislation on such as topics as restrictive trade practices and trade unions.

Berkeley's idealism started a revolution in philosophy. As one of the great empiricist thinkers he not only influenced British philosophers from Hume to Russell and the logical positivists in the twentieth century, he also set the scene for the continental idealism of Hegel and even the philosophy of Marx. There has never been such a radical critique of common sense and perception as that given in Berkeley's Principles of Human Knowledge (1710). His views were met with disfavour, and his response (...) to his critics was the Three Dialogues between Hylas and Philonous. This edition of Berkeley's two key works has an introduction which examines and in part defends his arguments for idealism, as well as offering a detailed analytical contents list, extensive philosophical notes, and an index. (shrink)

Business ethics, which grew out of religion's interest in ethics in business and management education's concern with social issues, has become an interdisciplinary academic field. Thus far it has centered on teaching undergraduates. The easy work has now been done and the field has reached a plateau. To develop further it requires development on the MBA level, high quality research on new questions, positive models, better interdisciplinary integration, and attention to international business. Ultimately the field will stand or fall on (...) the quality of research those in it produce. (shrink)

Berkeley's idealism started a revolution in philosophy. As one of the great empiricist thinkers he not only influenced British philosophers from Hume to Russell and the logical positivists in the twentieth century, he also set the scene for the continental idealism of Hegel and even the philosophy of Marx. -/- There has never been such a radical critique of common sense and perception as that given in Berkeley's Principles of Human Knowledge (1710). His views were met with disfavour, and his (...) response to his critics was the Three Dialogues between Hylas and Philonous. -/- This edition of Berkeley's two key works has an introduction which examines and in part defends his arguments for idealism, as well as offering a detailed analytical contents list, extensive philosophical notes and an index. (shrink)

Berkeley's idealism started a revolution in philosophy. As one of the great empiricist thinkers he not only influenced British philosphers from Hume to Russell and the logical positivists in the twentieth-century, he also set the scene for the continental idealism of Hegel and even the philsophy of Marx.

Reproduction of the original: Mental Evolution in Man by George John Romanes.

How physicians approach patients and the problems they present is much influenced by the conceptual models around which their knowledge is organized. In this paper the implications of the biopsychosocial model for the study and care of a patient with an acute myocardial infarction are presented and contrasted with approaches used by adherents of the more traditional biomedical model. CiteULike Connotea Del.icio.us What's this?

The Politics of Paradigms shows that America’s most famous and influential book about science, The Structure of Scientific Revolutions of 1962, was inspired and shaped by Thomas Kuhn’s political interests, his relationship with the influential cold warrior James Bryant Conant, and America’s McCarthy-era struggle to resist and defeat totalitarian ideology. Through detailed archival research, Reisch shows how Kuhn’s well-known theories of paradigms, crises, and scientific revolutions emerged from within urgent political worries—on campus and in the public sphere—about the invisible, unconscious (...) powers of ideology, language, and history to shape the human mind and its experience of the world. (shrink)