The starting point of this article is an old question asked by Feferman in his paper on Hancock's conjecture [6] about the strength of ${\rm ID}_{1}^{\ast}$. This theory is obtained from the well-known theory ID₁ by restricting fixed point induction to formulas that contain fixed point constants only positively. The techniques used to perform the proof-theoretic analysis of ${\rm ID}_{1}^{\ast}$ also permit to analyze its transfinitely iterated variants ${\rm ID}_{\alpha}^{\ast}$. Thus, we eventually know that $|\widehat{{\rm ID}}_{\alpha}|=|{\rm ID}_{\alpha}^{\ast}|$.

In Spescha and Strahm [15], a system of explicit mathematics in the style of Feferman [6] and [7] is introduced, and in Spescha and Strahm [16] the addition of the join principle to is studied. Changing to intuitionistic logic, it could be shown that the provably terminating operations of are the polytime functions on binary words. However, although strongly conjectured, it remained open whether the same holds true for the corresponding theory with classical logic. This note supplements a proof of (...) this conjecture. (shrink)

We propose two admissible closures $${\mathbb{A}({\sf PTCA})}$$ and $${\mathbb{A}({\sf PHCA})}$$ of Ferreira’s system PTCA of polynomial time computable arithmetic and of full bounded arithmetic (or polynomial hierarchy computable arithmetic) PHCA. The main results obtained are: (i) $${\mathbb{A}({\sf PTCA})}$$ is conservative over PTCA with respect to $${\forall\exists\Sigma^b_1}$$ sentences, and (ii) $${\mathbb{A}({\sf PHCA})}$$ is conservative over full bounded arithmetic PHCA for $${\forall\exists\Sigma^b_{\infty}}$$ sentences. This yields that (i) the $${\Sigma^b_1}$$ definable functions of $${\mathbb{A}({\sf PTCA})}$$ are the polytime functions, and (ii) the $${\Sigma^b_{\infty}}$$ definable (...) functions of $${\mathbb{A}({\sf PHCA})}$$ are the functions in the polynomial time hierarchy. (shrink)

In this article we show how to use the result in Jäger and Probst [7] to adapt the technique of pseudo-hierarchies and its use in Avigad [1] to subsystems of set theory without foundation. We prove that the theory KPi0 of admissible sets without foundation, extended by the principle (Σ-FP), asserting the existence of fixed points of monotone Σ operators, has the same proof-theoretic ordinal as KPi0 extended by the principle (Σ-TR), that allows to iterate Σ operations along ordinals. (...) By Jäger and Probst [6] we conclude that the metapredicative Mahlo ordinal φ ω00 is also the ordinal of KPi0+(Σ-FP). Hence the relationship between fixed points and iteration persists in the framework of set theory without foundation. (shrink)

We give a corrected definition for the paper [1] mentioned in the title.

The Suslin operator is a type-2 functional testing for the well-foundedness of binary relations on the natural numbers. In the context of applicative theories, its proof-theoretic strength has been analyzed in Jäger and Strahm [18]. This article provides a more direct approach to the computation of the upper bounds in question. Several theories featuring the Suslin operator are embedded into ordinal theories tailored for dealing with non-monotone inductive definitions that enable a smooth definition of the application relation.

We observe that removing contraction from a standard sequent calculus for first-order predicate logic preserves completeness for the modal fragment.

The main purpose of this article is to present new material concerning Leibniz's use of indivisibles and infinitesimals in his early mathematical texts. Most of these texts are contained in hitherto unpublished manuscripts and are soon to be printed in volume VII, 4 of the Academy Edition. They present examples which illustrate how Leibniz operated with concepts such as indivisibles and infinitesimals in that period of his development.

First I argue that the prohibition of linguistic self-reference as a solution to the antinomy problem contains a pragmatic contradiction and is thus not only too restrictive, but just inconsistent (chap.1). Furthermore, the possibilities of non-restrictive strategies for antinomy avoidance are discussed, whereby the explicit inclusion of the – pragmatically presuposed – consistency requirement proves to be the optimal strategy (chap.2). The central question here is that about the actual reason for antinomic structures. It turns out to be a form (...) of negative self-conditioning (chap.3). This makes it necessary to clarify the status of negative concepts (chap.4). The generalization of these considerations (chap.5) leads to the actual analysis of the antinomic basic structure (chap.6): Decisively for the pragmatics of the concept is that it positively owns a meaning, so that positivity is always constituted by the concept qua concept. Thus a negative concept is characterized by a fundamental ambivalence: From a semantic point of view it has negative character, in its pragmatic status as a concept, however, it has positive character. If the meaning is especially that of a negative self-reference, the ambivalence leads to the antinomic constellation of a negative self-condition – that is the crux of the matter here! The concept thus possesses the property defined by it exactly when it does not possess it and vice versa. A closer analysis shows that the function of reflective structures for the occurrence of antinomies has to be judged much more differentiated than previous opinions suggest. Not only are four forms of reflectivity to be distinguished in this context – ontic, semantic, pragmatic reflectivity, and especially the form of negative self-condition; but it is also apparent that these are intertwined with each other in a way that is difficult to be understood. The astonishing variety of relationships associated with this makes the irritation that has always emanated from the antinomy problem appear more comprehensible. In the developed pragmatic perspective furtheron parallels to the structure of self-consciousness become visible (chap.7). I conclude with considerations about the significance of the antinomic structure for the problem of dialectics, especially for the synthesis formation of mutually exclusive terms (chap.8). ---------- Zunächst wird gezeigt, dass das Verbot sprachlicher Selbstreferenz als Lösung des Antinomienproblems einen pragmatischen Widerspruch enthält und damit nicht nur zu restriktiv, sondern geradezu inkonsistent ist (Kap.1). Ferner werden Möglichkeiten nicht-restriktiver Strategien zur Antinomienvermeidung diskutiert, wobei sich die explizite Einbindung der – pragmatisch präsupponierten – Konsistenzforderung als optimale Strategie erweist (Kap.2). Zentral ist hier die Frage nach dem eigentlichen Grund antinomischer Strukturen. Er erweist sich als eine Form von negativer Selbst-Bedingung (Kap.3). Dies nötigt zu einer Klärung des Status negativer Begriffe (Kap.4). Die Verallgemeinerung dieser Überlegungen (Kap.5) leitet über zur eigentlichen Analyse der antinomischen Grundstruktur (Kap.6): Entscheidend zur Pragmatik des Begriffs gehört, dass ihm eine Bedeutung positiv zukommt, sodass durch den Begriff qua Begriff stets auch Positivität konstituiert ist. Dadurch ist ein negativer Begriff durch eine prinzipielle Ambivalenz gekennzeichnet: In semantischer Hinsicht hat er negativen Charakter, in seinem pragmatischen Status als Begriff hingegen positiven Charakter. Ist die Bedeutung insbesondere die eines negativen Selbstbezugs, führt die Ambivalenz zur antinomischen Konstellation einer negativen Selbst-Bedingung – das ist hier der springende Punkt! Der Begriff besitzt so die durch ihn definierte Eigenschaft genau dann, wenn er sie nicht besitzt und umgekehrt. Die nähere Analyse zeigt, dass hierbei die Funktion reflexiver Strukturen für das Auftreten von Antinomien weitaus differenzierter zu beurteilen ist, als bisherige Auffassungen nahelegen. Nicht nur dass in diesem Kontext vier Formen von Reflexivität – ontische, semantische, pragmatische Reflexivität und insbesondere auch die Form negativer Selbstbedingung – unterschieden werden müssen; es zeigt sich auch, dass diese in schwer durchschaubarer Weise ineinander verschränkt sind. Die damit verbundene erstaunliche Beziehungsvielfalt läßt die Irritation, die seit je vom Antinomienproblem ausging, begreiflicher erscheinen. In der entwickelten pragmatischen Perspektive werden ferner Parallelen zur Struktur von Selbstbewußtsein sichtbar (Kap.7). Ich schließe mit Überlegungen zur Bedeutung der antinomischen Struktur für das Problem der Dialektik, insbesondere zur Synthesebildung einander ausschließender Bestimmungen (Kap.8). (shrink)

[[[ (Here only the chapters 3 – 8, see *** ) First I argue that the prohibition of linguistic self-reference as a solution to the antinomy problem contains a pragmatic contradiction and is thus not only too restrictive, but just inconsistent (chap.1). Furthermore, the possibilities of non-restrictive strategies for antinomy avoidance are discussed, whereby the explicit inclusion of the – pragmatically presuposed – consistency requirement proves to be the optimal strategy (chap.2). ]]] The central question here is that about the (...) actual reason for antinomic structures. It turns out to be a form of negative self-conditioning (chap.3). This makes it necessary to clarify the status of negative concepts (chap.4). The generalization of these considerations (chap.5) leads to the actual analysis of the antinomic basic structure (chap.6): Decisively for the pragmatics of the concept is that it positively owns a meaning, so that positivity is always constituted by the concept qua concept. Thus a negative concept is characterized by a fundamental ambivalence: From a semantic point of view it has negative character, in its pragmatic status as a concept, however, it has positive character. If the meaning is especially that of a negative self-reference, the ambivalence leads to the antinomic constellation of a negative self-condition – that is the crux of the matter here! The concept thus possesses the property defined by it exactly when it does not possess it and vice versa. A closer analysis shows that the function of reflective structures for the occurrence of antinomies has to be judged much more differentiated than previous opinions suggest. Not only are four forms of reflectivity to be distinguished in this context – ontic, semantic, pragmatic reflectivity, and especially the form of negative self-condition; but it is also apparent that these are intertwined with each other in a way that is difficult to be understood. The astonishing variety of relationships associated with this makes the irritation that has always emanated from the antinomy problem appear more comprehensible. In the developed pragmatic perspective furtheron parallels to the structure of self-consciousness become visible (chap.7). I conclude with considerations about the significance of the antinomic structure for the problem of dialectics, especially for the synthesis formation of mutually exclusive terms (chap.8). (shrink)

The present investigation brings into view the philosophy of nature of German Idealism, a philosophical movement which emerged around the beginning of the nineteenth century. German Idealism appro- priated certain motivations of the Kantian philosophy and developed them further in a "speculative" manner (Engelhardt 1972, 1976, 2002). This powerful philosophical movement, associated above all with the names of Fichte, Schelling and Hegel - and moreover having nothing whatsoever to do with the "subjective idealism" of George Berkeley - was replaced by (...) philosophical positions designated roughly as metaphysics of the will, Marxism, life-philosophy, phenomenology and existentialism, as well as positivism, empiricism, philosophy of science, the linguistic turn, and analytic philosophy. These philosophical positions more or less still shape us today. German Idealism amounts to a virtual intellectual-historical antithesis to these movements and thus presents itself in retrospect as a striking alternative. The basis of Idealism - in its various respective forms - is the ideal <Ideelle>, and thus the opposite of that which is real. It continually takes as its task explaining the real in terms of the ideal, and this is especially true of the Idealists' philosophy of nature.' Is this a hopeless undertaking? Does Idealism not lack an empirical basis? Can one secure any solid ground whatsoever in the ether of the ideal? In what follows, I explain how, more than anyone else, Schelling and Hegel sought to handle this problem and to cope with it. By way of anticipation, a clear preference for the Hegelian philosophy of nature will emerge in what follows, a preference which may come as some surprise considering how much controversy has surrounded the significance of that view. The project of renewing a thoroughgoing philosophy of nature can meaningfully begin here. (shrink)

Buchkritik über: Chaim Perelman/Lucie Olbrechts-Tyteca: Die neue Rhetorik. Eine Abhandlung über das Argumentieren. Herausgegeben von Josef Kopperschmidt. Übersetzt von Freyr R. Varwig in Zusammenarbeit mit dem Herausgeber. Überarbeitet für die Drucklegung von Hans-Jörg Ehni in Zusammenarbeit mit dem Herausgeber, 2 Bände. Frommann-Holzboog Verlag, Stuttgart-Bad Canstatt 2004, 821 S.

The study ties in with former considerations concerning the problem of phenomenal perception of higher animals. Accordingly the phenomenal character, qualia included, results from the adjustment of perceptions to (typal) behavioral dispositions under the principle of self-preservation: an emergence phenomenon provided by the constitutive system unity of perception and behavior, here characterized as percept-act-system. Thereby the subject of behavior can be explained as an emergent instance of the – system-theoretically highest rank – percept-act-level. In terms of the principle of self-preservation (...) it subjects all sensations to an valuation. Perception thus gaining existential sense for the subject, a psychic sense-dimension is spanned which as such does not own physical but ideal character. Accessing Hegel this is further interpreted: Accordingly the ontological basis of this view is the lawfulness of nature, understood as the ideal essence underlying it. In virtue of this – basically Hegelian-type idealistic – conception the material being of nature always encloses the possibility of the psychic, according to that ideal substratum of nature. (shrink)

Previous efforts to bring the Hegelian dialectic closer to a clarification give reason for skepticism. The question: "What is dialectic", according to Dieter Henrich, "has remained without an answer so far". Hegel's objective-idealistic program is, however, so much linked to the possibility of a dialectical logic that it is an urgent desideratum to gain clarity about the stringency of dialectical argumentation. But this is only possible on the basis of a theory of dialectic. Hegel's own reflection on methods cannot (...) be considered sufficient in this respect. It does not enable us to defend the dialectical procedure against objections or to answer questions of method. In the following, a detailed reconstruction of the dialectic of 'being' and 'nothing' in Hegel's 'Science of Logic' will reveal basic structures of dialectical argumentation. As will be shown, antinomic structures play a key role. Such a 'reconstruction', however, will not be a simple confirmation of Hegelian texts, but will always have the character of a critique. In fact, it will turn out that in comparison with Hegel's development of categories, radical revisions are to be expected. ----- Bisherige Bemühungen, das Verfahren Hegelscher Dialektik einer Klärung näherzubringen, geben Anlass zur Skepsis. Die Frage: „Was ist Dialektik?“, so Dieter Henrich, sei „bisher ohne Antwort geblieben“. Das objektiv-idealistische Programm Hegels ist indes so sehr mit der Möglichkeit einer dialektischen Logik verknüpft, daß über die Stringenz dialektischer Argumentation Klarheit zu gewinnen ein dringliches Desiderat darstellt. Das aber ist nur auf der Grundlage einer Theorie der Dialektik möglich. Hegels eigene Methodenreflexion kann diesbezüglich nicht als zureichend erachtet werden. Sie versetzt uns nicht in die Lage, das dialektische Verfahren gegen Einwände zu verteidigen oder Methodenfragen zu beantworten. Im Folgenden sollen in einer detaillierten Rekonstruktion der Dialektik von ‘Sein’ und ‘Nichts’ in Hegels ‘Wissenschaft der Logik’ Grundstrukturen dialektischer Argumentation sichtbar gemacht werden. Wie gezeigt wird, kommt dabei antinomischen Strukturen eine Schlüsselfunktion zu. Eine solche 'Rekonstruktion' wird allerdings nicht eine umstandslose Bestätigung der Hegelschen Textvorlage sein können, sondern immer auch den Charakter einer Kritik haben. In der Tat wird sich ergeben, daß im Vergleich mit Hegels Kategorienentwicklung einschneidende Revisionen zu gewärtigen sind. (shrink)

The scope of my considerations here is defined along two lines, which seem to me of essential relevance for a theory of dialectic. On the one hand, the form of negation that – as self-referring antinomical negation – gains a quasi-semantic expulsory force [Sprengkraft] and therewith a forwarding [weiterverweisenden] character; on the other hand, the notion that every logical category is defective insofar as the explicit meaning of a category does not express everything that is already implicitly presupposed for its (...) meaning. Both lines are tightly interwoven. This I would like to demonstrate with the example of the dialectic of Being and Non-Being at the beginning of the Hegelian Logic. I will first make visible the basic structures of dialectical argumentation (sections II and III) – whereby certain revisions will turn out to be necessary in comparison with Hegel’s actual argument. Thereby it proves essential that the whole apparatus of logical categories and principles must be always already available and utilized for the dialectical explication: proving dialectic as a self-explication of logic by logical means: dialectic, as it were, as the self-fulfillment of logic (sections IV–VI). (shrink)

My argument is that Chalmers' zombie fiction and his rigid-designator-argument going back on Kripke comes down to a petitio principii. Rather, at the core it appears to be more related to the essential 'privacy' of the phenomenal internal perspective. In return for Chalmers I argue that the 'principle self-preservation' of living organisms necessarily implies subjectivity and the emergence of sense. The comparison with a robot proves instructive. The mode of 'mere physical' being is transcended if, in the form of phenomenal (...) perception, sense appears on the stage of higher animals – a transition explained here as an emergence phenomenon based on the systemic co-operation of perception, valuation and action ('perc-val-act system'). Some fundamental considerations are added: Those consequences implied by the principle self-preservation reveal the natural-biological origin of the organism – primarily seeming a more insignificant circumstance – as a momentous fundamental difference (end-in-itself-character, subjectivity, constitution of sense) compared to technical artefacts (robot). And the emergentist approach indicates the – maybe paradoxical – possibility of a dualism of physical and psychical phenomena in an overall physical system, that is not dualistic at the same time. (shrink)

The center of this investigation is the hard problem of phenomenal perception. To be clear, hereby it is thought of higher animals; accordingly the problem of Human consciousness will explicitly not be treated. The so-called explanatory gap (Levine), i.e. missing a neural explanation of experiences, here is emergence-theoretically countered: It is argued that systems own properties and laws different from those of their components. Applied to the brain the phenomenal character of perception is explained as an emergence effect from the (...) systemic cooperation of perception, valuation and behavior, whereby also an interpretation is opened to Davidson’s anomal monism. As is further shown, feelings are to be understood as a necessary completion of perception when, as in the case of higher animals, the behavior is primarily controlled by phenomenal perception. (shrink)

The zombie, mocking all nomological arguments, gives rise to axiological considerations that also result in a vindication of the nomological paradigm. So the ‘philosophical benefit of zombies’ ultimately proves to be that they lead to an understanding they were originally invented to refute.

There are arguments for determinism. Admittedly, this is opposed by the fact of everyday experience of autonomy. In the following, it is argued for the compatibility of determinism and autonomy. Taking up considerations of Donald MacKay, a fatalistic attitude can be refuted as false. Repeatedly, attempts have been made to defend the possibility of autonomy with reference to quantum physical indeterminacy. But its statistical randomness clearly misses the meaning of autonomy. What is decisive, on the other hand, is the possibility (...) of knowledge, which opens up opportunities for planning, freedom of choice and ultimately 'self-choice'. Results of neurobiological research, especially Benjamin Libet's and more recently John-Dylan Haynes', seem to refute this: Actions are unconsciously initiated before conscious decision. But, as Libet has also shown, consciousness always has the possibility of a veto – and thus also of knowledge-driven action control. Ultimately, the idea of possible self-choice can thus become the determining condition. Only such a form of rational self-determination establishes a spiritual identity and at the same time represents the maximum of autonomy possible for human beings. (shrink)

What corresponds to the present-day ‘transcendental-pragmatic’ concept of ultimate grounding in Hegel is his claim to absoluteness of the logic. Hegel’s fundamental intuition is that of a ‘backward going grounding’ obtaining the initially unproved presuppositions, thereby ‘wrapping itself into a circle’ – the project of the self-grounding of logic, understood as the self-explication of logic by logical means. Yet this is not about one of the multiple ‘logics’ which as formal constructs cannot claim absoluteness. It is rather a fundamental logic (...) that only makes logical textures possible at all and so owns transcendental character. The non-contradiction-principle is an example for this. Es- sential is that it is ‘under-cover-effcient’ as soon as meaningful concepts are used. Self-explication of the fundamental logic then means explicating its implicit under-cover validity, in fact by means of the fundamental logic itself. As is shown this is the affair of dialectic which thereby is to be understood as ultimate grounding of the fundamental logic. This is analyzed in detail using the example of the being/non-being-dialectic. As is demonstrated each explication step generates a new implicit issue and therewith a new explication-discrepancy inducing an antinomical structure that anew forwards the explication procedure. So this is entirely determined by itself. Decisive for the ultimate grounding argumentation is that thereby an objectively verifyable procedure is found, which is apparently possible only in a Hegelian framework. In contrast the immediate evidence of a speech act claimed by the transcendental-pragmatic position has only private character, which is grounding-theoretically irrelevant. (shrink)

Dass Kunst Sinnliches zu vergeistigen und Geistiges zu versinnlichen vermag, macht ihren Wesenskern und zugleich Rätselcharakter aus. Dass dieses Rätsel immer erneut als unaufgelöst erscheint, bedeutet auch, dass eine fortdauernde Irritation von Kunst ausgeht. Das Bestürzende der Kunst ist dies, dass sie den scheinbar unversöhnlichen Gegensatz des Geistigen und Sinnlichen zugleich als versöhnt erscheinen lässt: als Ver-Sinnlichung von Ideellem. Hegels These, dass die Kunst, eben durch diese Bindung an Sinnliches, 'ihrer eigentlichen Bestimmung nach für uns ein Vergangenes' sei, erscheint so (...) gesehen problematisch. Hat die geistesgeschichtliche Entwicklung die Kunst ihrer Irrelevanz überführt im Vergleich mit den nach Hegel höheren Formen des Geistigen, der Religion und der Philosophie? Entscheidend ist die Bewertung des sinnlichen Elements – dies näher zu klären wird hier in der Konfrontation der Hegelschen These mit den Kunstdeutungen Heideggers und Adornos unternommen. (shrink)

Essential for the concept of the law of nature is not only spatio-temporal universality, but also functionality in the sense of the dependency on physical conditions of natural entities. In the following it is explained in detail that just the neglect of this functional property is to be understood as the real reason for the occurrence of the Goodman paradox – with the consequence, that the behavior of things seems to be completely at the mercy of change of unique unrepeatable (...) temporal points. It is exactly this (mis-)understanding that also generated the induction problem. From the intrinsic connection between universality and functionality, however, – that is my claim – the ontological consequence of a nature results, for which lawfulness is coupled to essentially functionally defined time sequences, thereby implying a potentiality dimension of nature, too. (shrink)

The study ties in with former considerations concerning the problem of phenomenal perception of higher animals. Accordingly the phenomenal character results from the adjustment of perceptions to (species-specific) behavioral dispositions under the principle of self-preservation: an emergence phenomenon provided by the constitutive system unity of perception, valuation and behavior, here named as perc-val-act-system. Thereby the subject of the behavior can be emergentistly explained as an emergent instance of the – systems-theoretically highest rank – perc-val-act-level. In terms of the principle of (...) self-preservation all sensations are submitted to a valuation. Perception thus gaining existential sense for the subject, a phenomenal-mental sense-dimension is spanned out which as such does not own physical but ideal character: Accordingly the ontological basis of this view is the lawfulness of nature, understood as the ideal essence underlying it. In virtue of this – basically Hegelian-type idealistic – conception the physical being of nature always includes the possibility of phenomenal-mental being, because of the implicit ideality of nature itself. (shrink)

The purpose of this study was to examine individual and organizational antecedents and consequences of safety-related moral disengagement. Using Conservation of Resources theory, social exchange theory, and psychological contract breach as a theoretical foundation, this study tested the proposition that higher job insecurity is associated with greater levels of subsequent safety-related moral disengagement, which in turn is related to reduced safety performance. Moreover, we examined whether perceived organizational and supervisor support buffered or intensified the impact of job insecurity on moral (...) disengagement. Using a two-wave lagged design, anonymous survey data collected from N = 389 working adults in the U.S. supported the hypothesized moderated mediation model. Specifically, the conditional indirect effects of job insecurity on safety performance via moral disengagement were intensified as levels of perceived organizational and supervisor support increased. These results suggest that the threat of job insecurity may prompt employee moral disengagement; this effect is even stronger among employees who perceived higher levels of organizational and supervisor support. We interpret these counterintuitive findings in light of increasingly insecure contemporary work arrangements and how these may give rise to potentially unethical safety-related decision making and behavior. (shrink)

Let ≺ be a primitive recursive well-ordering on the natural numbers and assume that its order-type is greater than or equal to the proof-theoretic ordinal of the theory T. We show that the proof-theoretic strength of T is not increased if we add the negation of the statement which formalizes transfinite induction along ≺.

If one compares Hans Blumenberg with the dominant contemporary German-speaking characters of philosophy and heads of their own schools, Husserl, Heidegger and Adorno, then one sees that Blumenberg’s understanding of philosophy proves tobe emphatically unemphatic, withdrawn, and deeply stacked. He exchanges the big bills of those philosophies for small coins: Philosophy is attention first, thoughtfulness second, consolation third, and memory fourth. – An introduction is evidence of the reorientation that Blumenberg undertook in the 1950s with regard to his Catholic-theological and (...) Heideggerian philosophical beginnings. This led him to redefine the modern age from one of crisis to one of overcoming the crisis. (shrink)

The Sophists owe their place in the history of philosophy to Plato – but also their bad reputation. He uses them to profile his image of the philosopher against them. For him, sophistry is the ultimate in distance from philosophy while at the same time being close to philosophy; it is as related to this »as the wolf is to the dog«. I first trace the negative exaggeration of sophistry and the sophists in Plato, which is reflected in the ineradicable (...) negative connotation of »sophist« and »sophistic«. The great intellectual-historical importance of the Sophists does not lie primarily in what they independently contributed to philosophy, but in the establishment of a conception of rhetoric as we encounter it in Isocrates, which became the most important educational institution in antiquity alongside and before philosophy. (shrink)