The analytic movement advertised its 'linguistic turn' as a radical break from the two-thousand-year-old substance tradition. But this is an illusion. On the fundamental level of ontology, there is enough reformulation and presupposition of traditional 'no entity without identity' themes to analogize Frege, Russell, Wittgenstein, and Quine to Aristotle as paradigmatic of modified realism. Thus the pace of ontology is glacial. Frege and Russell, not Wittgenstein and Quine, emerge as the true analytic progenitors of 'no entity without identity,' offering between (...) them at least twenty-nine private language arguments and sixty-four 'no entity without identity' theories. (shrink)

Ray Monk and Anthony Palmer (eds.), Bertrand Russell and the Origins of Analytical Philosophy. Introduction by Ray Monk and Anthony Palmer. Bristol, U.K.:Thoemmes Press, 1996. xvi + 383 pp. £48.00/$78.00 (cloth); £16.95/$29.95 (paper).

The analytic movement advertised its 'linguistic turn' as a radical break from the two-thousand-year-old substance tradition. But this is an illusion. On the fundamental level of ontology, there is enough reformulation and presupposition of traditional 'no entity without identity' themes to analogize Frege, Russell, Wittgenstein, and Quine to Aristotle as paradigmatic of modified realism. Thus the pace of ontology is glacial. Frege and Russell, not Wittgenstein and Quine, emerge as the true analytic progenitors of 'no entity without identity,' offering between (...) them at least twenty-nine private language arguments and sixty-four 'no entity without identity' theories. (shrink)

Prominent thinkers such as Kripke and Rescher hold that Russell has no modal logic, even that Russell was indisposed toward modal logic. In Part I, I show that Russell had a modal logic which he repeatedly described and that Russell repeatedly endorsed Leibniz's multiplicity of possible worlds. In Part II, I describe Russell's theory as having three ontological levels. In Part III, I describe six Parmenidean theories of being Russell held, including: literal in 1903; universal in 1912; timeless in 1914; (...) transcendental in 1918–1948. The transcendental theory underlies the primary level of Russell's modal logic. In Part IV, I examine Rescher's view that Russell and modal logic did not mix. (shrink)

Do any significant philosophical differences between Quine and Carnap follow from Quine’s rejection of Carnap’s analytic-synthetic distinction? Not if they both understand empirical evidence in merely observational terms. But it follows from Quine’s rejection of the distinction that empirical evidence has degrees of holophrastic depth penetrating even into logic and ontology (gradualism). Thus his reasons to prefer realism to idealism are holophrastically empirical. I discuss Quine’s holist sectarian realism on private languages, externalism versus internalism, unobserved objects, unobservable abstract entities, bivalence, (...) ecumenicism versus sectarianism, and on gradualism itself. (shrink)

This paper continues my discussion with Michael Dummett on Frege’s senses, published in The Philosophy of Michael Dummett and further developed in Diametros. In his reply to my original paper, Dummett came to agree with me that senses are neither objects nor functions, since they have a categorially different kind of linguistico-metaphysical function to perform. He then asks how we might quantify over senses, if they are neither objects nor functions. He discusses two main options, and finds one unviable and (...) the other “very un-Fregean.” I then offer a Fregean or neo-Fregean option in my rejoinder. And I still hold that this way out will do the job, or is at least plausible enough that the burden of persuasion is on those who disagree. But I hope to show in this paper that on a more complete examination of Frege, there are at least twenty Fregean or neo-Fregean ways out, with the one I proposed being option. (shrink)

I SHOW THAT THE COSMOLOGICAL ARGUMENT OF AQUINAS FOR THE EXISTENCE OF GOD COMMITS A RATHER TRIVIAL LINGUISTIC FALLACY, BY SHOWING THAT (1) SOME OF ZENO'S PARADOXES COMMIT A TRIVIAL LINGUISTIC FALLACY, AND THAT (2) THE COSMOLOGICAL ARGUMENT IS SUFFICIENTLY SIMILAR TO THESE PARADOXES THAT IT COMMITS THE SAME FALLACY. COPLESTON'S VIEW THAT "MENTION OF THE MATHEMATICAL INFINITE SERIES IS IRRELEVANT" TO "ANY" OF AQUINAS'S ARGUMENTS FOR GOD'S EXISTENCE IS THUS SHOWN FALSE.

This paper continues Michael Dummett's and my discussion of Frege in The Philosophy of Michael Dummett [2007]. Most of it is about Dummett’s change in view on Frege’s senses and objects. The issues include: the cognitive order versus the ontological order for the forward road; the nature and identity of senses and the different senses of "intension;" the nature of saturation; whether special quantifiers are now needed for senses; and Frege’s earlier and later permutation arguments. I discuss the implications of (...) the forward road for intuitionism as well. (shrink)

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 (...) Quine are implicit relevantists on the deepest level. In showing this, I reunite two fields of logic which, strangely from the traditional point of view, have become basically separated from each other: relevance logic and diagram logic. I argue that there are two main concepts of relevance, intensional and extensional. The first is that of the relevantists, who overlook the presence of the second in modern classical logic. The second is the concept of truth-ground containment as following from in Wittgenstein’s Tractatus. I show that this second concept belongs to the diagram tradition of showing that the premisses contain the conclusion by the fact that the conclusion is diagrammed in the very act of diagramming the premisses. I argue that the extensional concept is primary, with at least five usable modern classical filters or constraints and indefinitely many secondary intensional filters or constraints. For the extensional concept is the genus of deductive relevance, and the filters define species. Also following the Tractatus, deductive relevance, or full truth-ground containment, is the limit of inductive relevance, or partial truth-ground containment. Purely extensional inductive or partial relevance has its filters or species too. Thus extensional relevance is more properly a universal concept of relevance or summum genus with modern classical deductive logic, relevantist deductive logic, and inductive logic as its three main domains. (shrink)

[Jan Dejnožka: The Ontology of the Analytic Tradition.and Its Origins].

Existuje překvapivě málo knih, které by se pokoušely o syntetizující pohled na analytickou filosofii. Je ovšem pravda, že ve druhé polovině našeho století se soubor filosofů, kteří se k analytické filosofii hlásí nebo kteří k ní bývají řazeni, stává natolik různorodý, že se jakákoli syntéza stává problematickou; překvapivě málo syntetizujících prací existuje ale i o ‘klasické’ analytické filosofii, to jest o analytické filosofii období zhruba od konce devatenáctého století do poloviny století dvacátého. Dejnožkova kniha je jednou z těch mála, které (...) se o něco takového pokouší, a to je třeba přivítat. Dejnožka se ovšem nesnaží podat všestranný rozbor názorů klasiků analytické filosofie; soustředí se pouze jeden aspekt jejich učení, totiž na jejich ontologii. Hned v úvodu své knihy k tomu vysvětluje, jaké opodstatnění může mít hovořit o ontologii u takového druhu filosofie, která se programově distancuje od metafyziky. Podle něj je tomu tak, že i když se někteří analytičtí filosofové někdy více či méně úspěšně vyhýbali otázkám metafyzickým (to jest otázkám po nejzákladnějších kategoriích bytí), ontologickým otázkám (to jest otázkám po povaze bytí jako takového) se v podstatě vyhnout nelze. A Dejnožka se snaží ukázat, že klasikové analytické filosofie se těmito otázkami zabývali mnohdy velice do hloubky. To je patrné zejména u Frega a Russella, kterým autor věnuje největší pozornost; avšak k těm, kteří podle Dejnožky berou ústřední otázku ontologie za svou, řadí Dejnožka i Wittgensteina i Quina (jimž se však věnuje na pouze velice omezeném prostoru - každému asi na dvanácti stránkách). (shrink)

Shaughan La Vine, Understanding the Infinite.Cambridge, Massachussets :Harvard University Press, 1994, ix + 372 pp.£31.95/$47.95 B.Russell, Foundations of logic 1903‐05, The Collected Papers of Bertrand Russell, Volume 4, Edited by Urquhart, A.with the assistance of Lewis, A.C.London and New York:Routledge, 1994, Hi+ 743 pp.£100 Ray Monk and Anthony Palmer, Bertrand Russell and the Origins of Analytical Philosophy.Introduction by Ray Monk and Anthony Palmer.Bristol, U.K.:Thoemmes Press, 1996. xvi + 383 pp.£48.00/$78.00 ; £16.95/$29.95 T.J.Holopainen, Dialectic & Theology in the Eleventh Century.Leiden:E.J.Brill, 1996. (...) vii+171pp.$78. (shrink)

This is a critical review of a book that defends two basic theses about analytic philosophy--that the 'no entity without identity' ontology is basic to the four great analytic philosophers and that they were 'modified realists.' This review calls into question both of these claims. The ontological views of Frege, Russell, Quine, Wittgenstein and others are discussed as well other central issues in analytic philosophy.

In lieu of an abstract, here is a brief excerpt of the content:66 Discussion REJOINDER TO DEJNOZKA'S REPLY GARY OSTERTAG Philosophy/ New YorkU. New York,NY 10003, USA [email protected] It is common knowledge that Russell does not explicitly endorse modal logic in any of his major logical writings. Nor does my review of BertrandRusseli onModalityand LogicalRelevance' suggest that Jan Dejnozka denies or is somehow unaware of this. On the contrary, I assume it to be obvious that any commitment Russell may have (...) had to modal logic must be implicitin his writings, nor explicit. The real issue is whether there is evidence of any such commitment. I will state, briefly,why I remain sceptical. First, Dejnozka's book lacks any interpretive methodology. When the question arises, In whichcontextsis itpermissibleto translateRusseli's language(formal orinformal)intoa modalsystem?, we get the following: amibute a modal logic to Russell if "it is more reasonable than not to paraphrase Russell's thinking into the modal logic." This condition, we are told, "is met to the extent that acertain modal logic is logicallyimplicit in Russell's thinking." All of which goes without saying, but it simply delays the inevitable question: when is a modal logic logicallyimplicit in a text? Dejnozka's current answer: a modal logic is logically implicit in a text when the text logically implies the paraphrase.2 But the final suggestion is incoherent, since we cannot tell what a text logical1y implies until we have discerned its logicalform-i.e. until we havealready paraphrased it into some formal idiom or other. A related problem is that Dejnozka consistently failsto distinguish two sorts of claims: • Certain passagesin Russell lend themselves to a modal interpretationthey can be captured in a given system of modal logic, e.g. S13. • Such an interpretation reflects Russell'sintentions. That a modal system captures one or another of Russell's accounts of logical truth in itself entails nothing regarding Russell'sintentions. The modal system G described by George Boolos in a munber of publications provides an alterna- ' "Russell's Modal Logic?", Russelin.s. 20 (2000): 165-72. 2 "Reply to Ostertag", Russell, n.s. 21 (2001): 63-5 (at 65). Discussion 67 rive formalization of Peano Arithmetic, enabling the derivation of Godel's incompleteness theorems. Yet the fact that this is possible does not in any way suggest that Godel himself was implicitly committed to G. Unfortunately, Dejnozka often writes as if the mere possibility of a modal interpretation is genuinely revealing as to Russell's intemions. Bm it is just as implausible to maintain this as it is to claim that it was Gi:idel'sintention to present Boolos's G.3 Second, as I maintain in my review, Dejnozka fails to take seriously the many comexts in which Russell is explicitly critical of modality. Dejnozka responds that he has quoted these very passagesand that he "embraces them as half-but only half-of [his] basic message" ("Reply", p. 64). But citing contexts in which Russell appears to find modality congenial does nothing to mitigate the force of the contexts in which Russell explicitly repudiates modality. It is Dejnozka's responsibility to explain how the latter are to cohere with his interpretation. To avoid this issue is to skirt the real philosophical and interpretive challenge that the project entails. Finally, we come to Dejnozka's confusions surrounding MDL-the triad of equivalences that underwrite the interpretation of Principiaas a modal logic. In light of Dejnozka's steadfast refusal to formalize the various modal systems he amibmes to Russell, it hardly makes a differencewhether MDLis a modal logic or merely, to use his terminology, a "modal theory" (assuming that the latter ultimately amounts to something other than a modal logic).4What is importam is whether MDLis trivial. If it is, then it is quite beside the point to pursue the various extensions of MDL.Since I maimain that Russell is not commined, implicitly or otherwise, to a substantive reading of MDL-one in which the modal operators have their conventional meanings-then he is not committed to these extensions, so there is no need for detailed discussion. What remains central is my argtunent for the claim that MDL is trivial. Bm this argmnent (unacknowledged by Dejnozka) is there for... (shrink)

Analogien lassen sich aus unserem vernünftigen Nachdenken und Argumentieren kaum wegdenken. Ganz zurecht stellen sie eines der klassischen Themen der Argumentationstheorie dar. Doch wie genau sollte die argumentative Rolle von Analogien in Argumentrekonstruktionen dargestellt werden? Das ist die Leitfrage dieses Beitrags. Zunächst wird mit Michael Dummetts Schach-Analogie ein prominentes Beispiel dargestellt und eine genauere Charakterisierung des Analogiebegriffs vorgeschlagen. Danach wird die gängigste Rekonstruktionsform von Analogien diskutiert, das Analogieargument, und in einigen Punkten verfeinert. Vor diesem Hintergrund schlägt der Beitrag eine zweite, (...) alternative Rekonstruktionsform vor, in der zwei analoge Argumente an die Stelle eines einzelnen Analogiearguments treten. Nachdem diese beiden Rekonstruktionsformen an einem weiteren berühmten Beispiel vorgeführt wurden, an Peter Singers Teich-Analogie, wird diskutiert, wie sich diese beiden Varianten gegenseitig ergänzen und welche Stärken und Schwächen sie haben. Es zeigt sich, dass Analogien nicht nur in Form von Analogieargumenten einen zentralen Topos eines Einzelarguments darstellen. Darüber hinaus kann die Untersuchung analoger Argumente bereits selbst als argumentationstheoretische Topik verstanden werden. (shrink)

Analogien lassen sich aus unserem vernünftigen Nachdenken und Argumentieren kaum wegdenken. Ganz zurecht stellen sie eines der klassischen Themen der Argumentationstheorie dar. Doch wie genau sollte die argumentative Rolle von Analogien in Argumentrekonstruktionen dargestellt werden? Das ist die Leitfrage dieses Beitrags. Zunächst wird mit Michael Dummetts Schach-Analogie ein prominentes Beispiel dargestellt und eine genauere Charakterisierung des Analogiebegriffs vorgeschlagen. Danach wird die gängigste Rekonstruktionsform von Analogien diskutiert, das Analogieargument, und in einigen Punkten verfeinert. Vor diesem Hintergrund schlägt der Beitrag eine zweite, (...) alternative Rekonstruktionsform vor, in der zwei analoge Argumente an die Stelle eines einzelnen Analogiearguments treten. Nachdem diese beiden Rekonstruktionsformen an einem weiteren berühmten Beispiel vorgeführt wurden, an Peter Singers Teich-Analogie, wird diskutiert, wie sich diese beiden Varianten gegenseitig ergänzen und welche Stärken und Schwächen sie haben. Es zeigt sich, dass Analogien nicht nur in Form von Analogieargumenten einen zentralen Topos eines Einzelarguments darstellen. Darüber hinaus kann die Untersuchung analoger Argumente bereits selbst als argumentationstheoretische Topik verstanden werden. (shrink)