In der vorliegenden Arbeit wird über die verschiedenen Aspekte der sogenannten FitzGerald-Lorentz-Kontraktion berichtet. Nach einem kurzen Abriß der Entwicklung der Ätherkonzeption wird eine Beschreibung des Michelson-Morley Versuchs gegeben und seine Rolle in der Entstehungsgeschichte der speziellen Relativitätstheorie diskutiert. Anschließend wird die Kontraktionshypothese vorgestellt und die Frage erörtert, ob die Kontraktion „wirklich“ oder nur „scheinbar“ ist. Einige Gedankenexperimente werden vorgestellt, die zeigen, daß die Kontraktion bewegter Körper kein bloßer Schein ist. Ferner wird die noch bei Einstein unklare Beantwortung nach der Frage (...) der Sichtbarkeit der Längenkontraktion durch die Analyse der Begriffe „Beobachten“ und „Sehen“ aufgehellt. Abschließend wird auf die Frage nach der Falsifizierbarkeit der Kontraktionshypothese eingegangen, die von Popper aufgeworfen wurde. (shrink)

In this collection comprising four of his most influential essays, Henrich proves himself unique in the conjunction of philosophical acumen, insight, and originality that he brings to Kant interpretation.

Duality in Logic and Language [draft--do not cite this article] Duality phenomena occur in nearly all mathematically formalized disciplines, such as algebra, geometry, logic and natural language semantics. However, many of these disciplines use the term ‘duality’ in vastly different senses, and while some of these senses are intimately connected to each other, others seem to be entirely … Continue reading Duality in Logic and Language →.

In recent years, a number of authors have started studying Aristotelian diagrams containing metalogical notions, such as tautology, contradiction, satisfiability, contingency, strong and weak interpretations of contrariety, etc. The present paper is a contribution to this line of research, and its main aims are both to extend and to deepen our understanding of metalogical diagrams. As for extensions, we not only study several metalogical decorations of larger and less widely known Aristotelian diagrams, but also consider metalogical decorations of another type (...) of logical diagrams, viz. duality diagrams. At a more fundamental level, we present a unifying perspective which sheds new light on the connections between new and existing metalogical diagrams, as well as between object- and metalogical diagrams. Overall, the paper studies two types of logical diagrams and four kinds of metalogical decorations. (shrink)

Die vorliegende Arbeit hat den Leibnizschen metaphysischen Optimismus und einige der weniger bekannten Stationen und Zuge der Rezeption der "Essais de Theodicee" und des Theorems von der besten Welt im deutschen 18. Jahrhundert zum Gegenstand. Sie erhebt nicht den Anspruch, eine auch nur annahernd vollstandige Darstellung des Verlaufes der Debatte um die "beste Welt" zu geben. Angesichts der Fulle der zeitgenossischen Einlassungen und Ausserungen zum Thema war eine Auswahl bestimmter Rezeptionsmomente vorzunehmen. Auf die Prozesse der Verwandlung einer strikt metaphysischen Theodizee (...) hin zu einem populareren, dafur aber auch anfechtbareren Optimismus will diese Arbeit ebenso hinweisen wie auf den Umstand, dass nicht erst die Kantische Schrift "Uber das Misslingen aller philosophischen Versuche in der Theodizee" von 1791 die (philosophische) Problematik der Lehre von der besten Welt dingfest macht. (shrink)

This chapter establishes the concept of a “symbolic system of representation“ to make clear how it is possible that humans use not only the language-based system of representation for cognitive contents but also a many layered non-linguistic system, a system which we probably share with other species. A symbolic system of representation denotes a general concept of a performance of which our language is only one single case, but which nevertheless is most easily explained through the case of language. A (...) system of representation should enable us to form and manipulate an idea of a state of affairs or of an event without having the appropriate intuition of it. We usually think that we do this only using linguistic expressions, but this is not the whole truth. Language is one system of representation, but we can in principle conceive of other systems of representation with the same performance. Husserl’s theory of meaning already reveals this possibility. A phenomenological analysis reveals that a non-linguistic system of representation is in fact still functioning in our own consciousness. We simultaneously use different means of representation, the most prominent of which are language, gestures, feelings and scenic images. It is especially fruitful to investigate the scenic mode of daydreaming as a central form of non-linguistic thinking. Through a close comparison of alternative systems of representation, the systematic difference of usual semantics in normal language systems based on convention and the more natural similarity semantics of some non-linguistic systems of representation is revealed. (shrink)

The aim of this paper is to initiate a systematic exploration of the model theory of epistemic plausibility models (EPMs). There are two subtly different definitions in the literature: one by van Benthem and one by Baltag and Smets. Because van Benthem's notion is the most general, most of the paper is dedicated to this notion. We focus on the notion of bisimulation, and show that the most natural generalization of bisimulation to van Benthem-type EPMs fails. We then introduce parametrized (...) bisimulations, and prove various bisimulationimplies- equivalence theorems, a Hennessy-Milner theorem, and several (un)definability results. We discuss the problems arising from the fact that these bisimulations are syntax-dependent (and thus not fully structural), and we present and compare two different ways of coping with this issue: adding a modality to the language, and putting extra constraints on the models. We argue that the most successful solution involves restricting to uniform and locally connected (van Benthem-type) EPMs: for this subclass the intuitively most natural notion of bisimulation and the technically sound notion coincide. Such EPMs turn out to correspond exactly with Baltag/Smets-type EPMs, which can be interpreted as constituting a methodological argument, favoring Baltag and Smets's definition of EPM over that of van Benthem. (shrink)

This paper studies the Lockean thesis from the perspective of contemporary epistemic logic. The Lockean thesis states that belief can be defined as ‘sufficiently high degree of belief’. Its main problem is that it gives rise to a notion of belief which is not closed under conjunction. This problem is typical for classical epistemic logic: it is single-agent and static. I argue that from the perspective of contemporary epistemic logic, the Lockean thesis fares much better. I briefly mention that it (...) can successfully be extended from single-agent to multi-agent settings. More importantly, I show that accepting the Lockean thesis (and a more sophisticated version for conditional beliefs) leads to a significant and unexpected unification in the dynamic behavior of (conditional) belief and high (conditional) probability with respect to public announcements. This constitutes a methodological argument in favor of the Lockean thesis. Furthermore, if one accepts Baltag’s Erlangen program for epistemology, this technical observation has even stronger philosophical implications: because belief and high probability display the same dynamic behavior, it is plausible that they are indeed one and the same epistemic notion. (shrink)

This paper studies John Buridan's octagons of opposition for the de re modal propositions and the propositions of unusual construction. Both Buridan himself and the secondary literature have emphasized the strong similarities between these two octagons (as well as a third one, for propositions with oblique terms). In this paper, I argue that the interconnection between both octagons is more subtle than has previously been thought: if we move beyond the Aristotelian relations, and also take Boolean considerations into account, then (...) the strong analogy between Buridan's octagons starts to break down. These differences in Boolean structure can already be discerned within the octagons themselves; on a more abstract level, they lead to these two octagons having different degrees of Boolean complexity (i.e. Boolean closures of different sizes). These results are obtained by means of bitstring analysis, which is one of the key tools from contemporary logical geometry. Finally, I argue that this historical investigation is directly relevant for the theoretical framework of logical geometry, and discuss how it helps us to address certain open questions in this framework. (shrink)

In the recent debate on future contingents and the nature of the future, authors such as G. A. Boyd, W. L. Craig, and E. Hess have made use of various logical notions, such as the Aristotelian relations of contradiction and contrariety, and the ‘open future square of opposition.’ My aim in this paper is not to enter into this philosophical debate itself, but rather to highlight, at a more abstract methodological level, the important role that Aristotelian diagrams can play in (...) organizing and clarifying the debate. After providing a brief survey of the specific ways in which Boyd and Hess make use of Aristotelian relations and diagrams in the debate on the nature of the future, I argue that the position of open theism is best represented by means of a hexagon of opposition. Next, I show that on the classical theist account, this hexagon of opposition ‘collapses’ into a single pair of contradictory statements. This collapse from a hexagon into a pair has several aspects, which can all be seen as different manifestations of a single underlying change. (shrink)

This paper studies Aumann’s agreeing to disagree theorem from the perspective of dynamic epistemic logic. This was first done by Dégremont and Roy (J Phil Log 41:735–764, 2012) in the qualitative framework of plausibility models. The current paper uses a probabilistic framework, and thus stays closer to Aumann’s original formulation. The paper first introduces enriched probabilistic Kripke frames and models, and various ways of updating them. This framework is then used to prove several agreement theorems, which are natural formalizations of (...) Aumann’s original result. Furthermore, a sound and complete axiomatization of a dynamic agreement logic is provided, in which one of these agreement theorems can be derived syntactically. These technical results are used to show the importance of explicitly representing the dynamics behind the agreement theorem, and lead to a clarification of some conceptual issues surrounding the agreement theorem, in particular concerning the role of common knowledge. The formalization of the agreement theorem thus constitutes a concrete example of the so-called dynamic turn in logic. (shrink)

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)

This paper explores the interplay between logic-sensitivity and bitstring semantics in the square of opposition. Bitstring semantics is a combinatorial technique for representing the formulas that appear in a logical diagram, while logic-sensitivity entails that such a diagram may depend, not only on the formulas involved, but also on the logic with respect to which they are interpreted. These two topics have already been studied extensively in logical geometry, and are thus well-understood by themselves. However, the precise details of their (...) interplay turn out to be far more complicated. In particular, the paper describes an elegant and natural interaction between bitstrings and logic-sensitivity, which makes perfect sense when bitstrings are viewed as purely combinatorial entities. However, when we view bitstrings as semantically meaningful entities (which is actually the standard perspective, cf. the term ‘bitstring semantics’!), this interaction does not seem to have a full and equally natural counterpart. The paper describes some attempts to address this situation, but all of them are ultimately found wanting. For now, it thus remains an open problem to capture this interaction between bitstrings and logic-sensitivity from a semantic (rather than merely a combinatorial) perspective. (shrink)

In der 1970 gegründeten Reihe erscheinen Arbeiten, die philosophiehistorische Studien mit einem systematischen Ansatz oder systematische Studien mit philosophiehistorischen Rekonstruktionen verbinden. Neben deutschsprachigen werden auch englischsprachige Monographien veröffentlicht. Gründungsherausgeber sind: Erhard Scheibe (Herausgeber bis 1991), Günther Patzig (bis 1999) und Wolfgang Wieland (bis 2003). Von 1990 bis 2007 wurde die Reihe von Jürgen Mittelstraß mitherausgegeben.

There is a consensus that satire cannot be defined, but is best characterized by a cluster account. However, I argue that a cluster account does not acknowledge the artistically and politically significant distinction between real satire and some forms of frivolous topical comedy which are casually labeled ‘satire’ in international media contexts. To uphold this distinction, I introduce a weak proposal that satire is a genre which necessarily sets out to critique and entertain (with the qualification that these purposes necessarily (...) interact, although neither is wholly instrumental to the other). I further argue that this proposal also provides necessary and sufficient conditions for a definition of satire. (shrink)

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)

This article describes a specific pedagogical context for an advanced logic course and presents a strategy that might facilitate students’ transition from the object-theoretical to the metatheoretical perspective on logic. The pedagogical context consists of philosophy students who in general have had little training in logic, except for a thorough introduction to syllogistics. The teaching strategy tries to exploit this knowledge of syllogistics, by emphasizing the analogies between ideas from metalogic and ideas from syllogistics, such as existential import, the distinction (...) between contradictories and contraries, and the square of opposition. This strategy helps to improve students’ understanding of metalogic, because it allows the students to integrate these new ideas with their previously acquired knowledge of syllogistics. (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)

The Sure-Thing Principle famously appears in Savage’s axiomatization of Subjective Expected Utility. Yet Savage introduces it only as an informal, overarching dominance condition motivating his separability postulate P2 and his state-independence postulate P3. Once these axioms are introduced, by and large, he does not discuss the principle any more. In this note, we pick up the analysis of the Sure-Thing Principle where Savage left it. In particular, we show that each of P2 and P3 is equivalent to a dominance condition; (...) that they strengthen in different directions a common, basic dominance axiom; and that they can be explicitly combined in a unified dominance condition that is a candidate formal statement for the Sure-Thing Principle. Based on elementary proofs, our results shed light on some of the most fundamental properties of rational choice under uncertainty. In particular they imply, as corollaries, potential simplifications for Savage’s and the Anscombe- Aumann axiomatizations of Subjective Expected Utility. Most surprisingly perhaps, they reveal that in Savage’s axiomatization, P3 can be weakened to a natural strengthening of so-called Obvious Dominance. (shrink)

Kant is by no means the pure rationalist that Husserl and others represented him as being. To the contrary I claim that Kant is an ethical intuitionist when it comes to our recognition of the validity of the moral law. Interpreting Kant’s famous thesis about the “fact of reason”, I will first argue for three interpretative theses: 1. The factum theory explains our insight into the binding character of the moral law; it is a theory of justification. 2. In our (...) consciousness of the categorical imperative, the moral law is immediately given in its unconditional and binding validity. 3. The unconditional validity of the CI is given in the feeling of respect. Drawing on basic thoughts of Reformed Epistemology, I will then sketch a way to defend Kant’s theory. (shrink)

In logic, Aristotelian diagrams are almost always assumed to be closed under negation, and are thus highly symmetric in nature. In linguistics, by contrast, these diagrams are used to study lexicalization, which is notoriously not closed under negation, thus yielding more asymmetric diagrams. This paper studies the interplay between logical symmetry and linguistic asymmetry in Aristotelian diagrams. I discuss two major symmetric Aristotelian diagrams, viz. the square and the hexagon of opposition, and show how linguistic considerations yield various asymmetric versions (...) of these diagrams. I then discuss a pentagon of opposition, which occupies an uneasy position between the square and the hexagon. Although this pentagon belongs neither to the symmetric realm of logic nor to the asymmetric realm of linguistics, it occurs several times in the literature. The oldest known occurrence can be found in the cosmological work of the 14th-century author Nicole Oresme. (shrink)

The Cartesian concept of nature, which has determined modern thinking until the present time, has become obsolete. It shall be shown that Hegel's objective-idealistic conception of nature discloses, in comparison to that of Descartes, new perspectives for the comprehension of nature and that this, in turn, results in possibilities of actualizing Hegel's philosophy of nature. If the argumentation concerning philosophy of nature is intended to catch up with the concrete Being-of-nature and to meet it in its concretion, then this is (...) impossible for the finite spirit in a strictly a priori sense – this is the thesis supported here which is not at all close to Hegel. As the argumentation rather has to consider the conditions of realization concerning the Being-of-nature, too, it is compelled to take up empirical elements – concerning the organism, for instance, system-theoretical aspects, physical and chemical features of the nervous system, etc. With that, on the one hand, empirical-scientific premises are assumed (e.g. the lawlikeness of nature), which on the other hand become (now close to Hegel) possibly able to be founded in the frame of a Hegelian-idealistic conception. In this sense, a double strategy of empirical-scientific concretization and objective-idealistic foundation is followed up, which represents the methodical basic principle of the developed considerations. In the course of the undertaking, the main aspects of the whole Hegelian design concerning the philosophy of nature are considered – space and time, mass and motion, force and law of nature, the organism, the pro-blem of evolution, psychic being – as well as Hegel's basic thesis concerning the philosophy of nature, that therein a tendency toward coherence and idealization manifests itself in the sense of a (categorically) gradually rising succession of nature: from the separateness of space to the ideality of sensation. In the sense of the double strategy of concretization and foundation it is shown that on the one hand possibilities of philosophical penetration concerning actual empirical-scientific results are opened, and on the other hand – in turn – a re-interpretation of Hegel's theorem on the basis of physical, evolution-theoretical and system-theoretical argumentation also becomes possible. In this mutual crossing-over and elucidation of empirical and Hegelian argumentation not only do perspectives of a new comprehension of nature become visible, but also, at the same time – as an essential consequence of this methodical principle – thoughts on the possibilities of actualizing Hegel's philosophy of nature. (shrink)

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)

Burgess-Jackson has recently suggested that the debate between theism and atheism can be represented by means of a classical square of opposition. However, in light of the important role that the position of agnosticism plays in Burgess-Jackson’s analysis, it is quite surprising that this position is not represented in the proposed square of opposition. I therefore argue that the square of opposition should be extended to a slightly larger, more complex Aristotelian diagram, viz., a hexagon of opposition. Since this hexagon (...) does represent the position of agnosticism, it arguably yields a more helpful representation of the theism/atheism debate. It would be naïve to presume that Aristotelian diagrams can, by themselves, lead to a comprehensive solution of debates as intricate as that between theism and atheism. Nevertheless, this paper aims to show that these diagrams — especially if they are chosen carefully — have an important methodological role to play, by systematically organizing and clarifying the debate. (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)

In this paper, we consider certain cardinals in ZF (set theory without AC, the axiom of choice). In ZFC (set theory with AC), given any cardinals C and D, either C ≤ D or D ≤ C. However, in ZF this is no longer so. For a given infinite set A consider $\operatorname{seq}^{1 - 1}(A)$ , the set of all sequences of A without repetition. We compare $|\operatorname{seq}^{1 - 1}(A)|$ , the cardinality of this set, to |P(A)|, the cardinality of (...) the power set of A. What is provable about these two cardinals in ZF? The main result of this paper is that $ZF \vdash \forall A(|\operatorname{seq}^{1 - 1}(A)| \neq|\mathscr{P}(\mathscr{A})|)$ , and we show that this is the best possible result. Furthermore, it is provable in ZF that if B is an infinite set, then $|\operatorname{fin}(B)| <|\mathscr{P}(B)|$ even though the existence for some infinite set B* of a function f from $\operatorname{fin}(B^\ast)$ onto P(B*) is consistent with ZF. (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)