At the centre of the traditional discussion of truth is the question of how truth is defined. Recent research, especially with the development of deflationist accounts of truth, has tended to take truth as an undefined primitive notion governed by axioms, while the liar paradox and cognate paradoxes pose problems for certain seemingly natural axioms for truth. In this book, Volker Halbach examines the most important axiomatizations of truth, explores their properties and shows how the logical results impinge on (...) the philosophical topics related to truth. In particular, he shows that the discussion on topics such as deflationism about truth depends on the solution of the paradoxes. His book is an invaluable survey of the logical background to the philosophical discussion of truth, and will be indispensable reading for any graduate or professional philosopher in theories of truth. (shrink)

If □ is conceived as an operator, i.e., an expression that gives applied to a formula another formula, the expressive power of the language is severely restricted when compared to a language where □ is conceived as a predicate, i.e., an expression that yields a formula if it is applied to a term. This consideration favours the predicate approach. The predicate view, however, is threatened mainly by two problems: Some obvious predicate systems are inconsistent, and possible-worlds semantics for predicates of (...) sentences has not been developed very far. By introducing possible-worlds semantics for the language of arithmetic plus the unary predicate □, we tackle both problems. Given a frame (W, R) consisting of a set W of worlds and a binary relation R on W, we investigate whether we can interpret □ at every world in such a way that □ $\ulcorner A \ulcorner$ holds at a world ᵆ ∊ W if and only if A holds at every world $\upsilon$ ∊ W such that ᵆR $\upsilon$ . The arithmetical vocabulary is interpreted by the standard model at every world. Several 'paradoxes' (like Montague's Theorem, Gödel's Second Incompleteness Theorem, McGee's Theorem on the ω-inconsistency of certain truth theories, etc.) show that many frames, e.g., reflexive frames, do not allow for such an interpretation. We present sufficient and necessary conditions for the existence of a suitable interpretation of □ at any world. Sound and complete semi-formal systems, corresponding to the modal systems K and K4, for the class of all possible-worlds models for predicates and all transitive possible-worlds models are presented. We apply our account also to nonstandard models of arithmetic and other languages than the language of arithmetic. (shrink)

Definitional and axiomatic theories of truth -- Objects of truth -- Tarski -- Truth and set theory -- Technical preliminaries -- Comparing axiomatic theories of truth -- Disquotation -- Classical compositional truth -- Hierarchies -- Typed and type-free theories of truth -- Reasons against typing -- Axioms and rules -- Axioms for type-free truth -- Classical symmetric truth -- Kripke-Feferman -- Axiomatizing Kripke's theory in partial logic -- Grounded truth -- Alternative evaluation schemata -- Disquotation -- Classical logic -- Deflationism (...) -- Reflection -- Ontological reduction -- Applying theories of truth. (shrink)

The uniform reflection principle for the theory of uniform T-sentences is added to PA. The resulting system is justified on the basis of a disquotationalist theory of truth where the provability predicate is conceived as a special kind of analyticity. The system is equivalent to the system ACA of arithmetical comprehension. If the truth predicate is also allowed to occur in the sentences that are inserted in the T-sentences, yet not in the scope of negation, the system with the reflection (...) schema for these T-sentences assumes the strength of the Kripke-Feferman theory KF, and thus of ramified analysis up to go. (shrink)

A theory of the transfinite Tarskian hierarchy of languages is outlined and compared to a notion of partial truth by Kripke. It is shown that the hierarchy can be embedded into Kripke's minimal fixed point model. From this results on the expressive power of both approaches are obtained.

Solutions to semantic paradoxes often involve restrictions of classical logic for semantic vocabulary. In the paper we investigate the costs of these restrictions in a model case. In particular, we fix two systems of truth capturing the same conception of truth: of the system KF of Feferman formulated in classical logic, and the system PKF of Halbach and Horsten, formulated in basic De Morgan logic. The classical system is known to be much stronger than the nonclassical one. We assess the (...) reasons for this asymmetry by showing that the truth theoretic principles of PKF cannot be blamed: PKF with induction restricted to non-semantic vocabulary coincides in fact with what the restricted version of KF proves true. (shrink)

Wittgenstein’s Whewell’s Court Lectures contains previously unpublished notes from lectures given by Ludwig Wittgenstein between 1938 and 1941. The volume offers new insight into the development of Wittgenstein’s thought and includes some of the finest examples of Wittgenstein’s lectures in regard to both content and reliability.

The article reads the preface to the Phenomenology of Spirit as the unfolding of the first circle in the development of spirit. It starts with a deception, as we become aware of the impossibility of reading the text along the lines of a regular understanding of regular meanings: instead, the speculative presentation needs to be written while reading. Philosophy takes place in this actualisation of the speculative, and Hegel appears within the text not as its author, but as the site (...) of the speculative, in which he disappears at the same time. This first circle creates a model for the development of spirit in which the theological form of the kenosis is actualised. Spirit empties itself and actualises itself as externalised, directing us beyond Hegel’s text to other texts, only to find its actual presentation in other places. (shrink)

We investigate axiomatizations of Kripke's theory of truth based on the Strong Kleene evaluation scheme for treating sentences lacking a truth value. Feferman's axiomatization KF formulated in classical logic is an indirect approach, because it is not sound with respect to Kripke's semantics in the straightforward sense: only the sentences that can be proved to be true in KF are valid in Kripke's partial models. Reinhardt proposed to focus just on the sentences that can be proved to be true in (...) KF and conjectured that the detour through classical logic in KF is dispensable. We refute Reinhardt's Conjecture, and provide a direct axiomatization PKF of Kripke's theory in partial logic. We argue that any natural axiomatization of Kripke's theory in Strong Kleene logic has the same proof-theoretic strength as PKF, namely the strength of the system RA< ωω ramified analysis or a system of Tarskian ramified truth up to ωω. Thus any such axiomatization is much weaker than Feferman's axiomatization KF in classical logic, which is equivalent to the system RA<ε₀ of ramified analysis up to ε₀. (shrink)

According to the disquotationalist theory of truth, the Tarskian equivalences, conceived as axioms, yield all there is to say about truth. Several authors have claimed that the expression of infinite conjunctions and disjunctions is the only purpose of the disquotationalist truth predicate. The way in which infinite conjunctions can be expressed by an axiomatized truth predicate is explored and it is considered whether the disquotationalist truth predicate is adequate for this purpose.

Bewusstsein, Außenwelt und Sprache bilden eine untrennbare Einheit in der Frage nach dem Sinn und der Bedeutung sprachlicher Ausdrücke. Zeichen und ihre Verwendung lassen sich daher weder durch rein internalistische Bewusstseinsanalysen noch durch rein externalistische Gegenstandsbezüge angemessen rekonstruieren. Daher befinden sich Bedeutungen weder „innerhalb" noch „außerhalb" des Kopfes. Unterschiedliche Gebrauchsweisen und somit Bedeutungen spiegeln sich vielmehr in der Fähigkeit wieder, sprachliche Zeichen zu verstehen und auf unsere subjektiven Erlebnisse sowie die uns umgebende Welt anzuwenden. Volker Munz zeigt, inwieweit sowohl (...) rein phänomenale als auch rein physikalistische Interpretationsansätze zu kurz greifen, die Bedeutung sprachlicher Ausdrücke zu bestimmen. Beide Positionen stehen nicht in Widerstreit zueinander, sondern ergänzen einander vielmehr in der Bestimmung des Sinnes und der Bedeutung sprachlicher Zeichen. Sowohl externalistische Semantiken (Putnams Zwillingserde, Kripkes Marsianer, Davidsons Sumpfmann etc.) als auch internalistische Positionen (Locke, Thomas Nagel, Jackson etc.) werden anhand spezifischer Gedankenexperiment kritisch auf ihre Rolle und Schlüssigkeit hin überprüft und mit alternativen Gedankenszenarios konfrontiert. Neben den genannten Autoren werden auch Russell, Frege und insbesondere Wittgenstein ausführlich diskutiert. (shrink)

Name der Zeitschrift: Zeitschrift für Religionswissenschaft Jahrgang: 25 Heft: 1 Seiten: 6-29.

Entgegen rationalistisch verkürzten Handlungs- und Wissenstheorien wird mit der Philosophie des Empraktischen der der selbstbewussten Praxis immer je schon vorgängige leiblich gestimmte Handlungsvollzug thematisiert. Das Buch knüpft an aktuelle Debatten um unmittelbar körperliche, implizite Wissensformen und um eine Philosophie der Gefühle an.

This article presents a critical reading of Albert O. Hirschman’s typology of exit, voice and loyalty as a heuristic for understanding the changing meanings of exile in the 20th and early 21st centuries. It is argued that Hirschman’s experiences as well as the theory he distilled from them are highly relevant for researchers of forced migration and exile. After first defending the usefulness of Hirschman’s analytical framework for exile and diaspora studies, the article then highlights the need to revise and (...) complicate his approach. Hirschman could not foresee the emerging global possibilities of cultivating ‘the art of voice’, new forms of internal and self-exile as a result of post-fascist versions of authoritarianism, and the growing difficulties faced by refugees including, refugee scholars and writers, to exit their countries and find a safe haven somewhere else. The gaps in Hirschman’s theory are addressed by drawing on insights from the writings of Judith Shklar. (shrink)

The article analyses the motivations of fundamentalists. Typically, fundamentalism is considered to have its origin in determinate cultural or religious systems of beliefs and norms. In this regard, it is possible to distinguish between metaphysical accounts and moral accounts of fundamentalism. The first state that fundamentalism makes claims concerning the reality of cultures and religions. The second hold fundamentalism to be of practical, not of theoretical, nature. This article argues, on the contrary, that fundamentalism does not have its source in (...) religion or culture. Fundamentalists are not motivated by cultural or religious beliefs and reasons. Their intolerance is, in contrast, caused and driven by purely emotional reactions. What makes a fundamentalist is the emotional non-distinction between the intentions and actions of others and the proper behavior in matters of culture and religion. A fundamentalist has equally strong and intense emotional reactions when it comes to others’ integrity as with regard to his or her own piety. (shrink)

This paper aims to provide a comprehensive explanation for the likely failure in the decoupling of economic growth from environmental degradation, and also intends to offer perspectives on the new role of competition in a steady state or a degrowth economy. The analysis is based on five different scenarios, and uses the European Union as an example. It is concluded that we must prepare ourselves for a potential incompatibility between sustainability and economic growth. In this respect one can say that (...) the current EU situation is in some ways already quite close to an economic system without growth, although far from sustainable as yet. Two of the four perspectives developed, regarding the new role of competition in an economy without growth, indicate an increase of direct and indirect competition over resources. The other two perspectives point out that regulatory public intervention as well as financial intervention will increase in order to ensure that - despite the revised role of competition - the poorest are still given a chance to develop (e.g. through basic minimum incomes), even in a degrowth economy. (shrink)

Over the past decades, we have witnessed calls for greater transdisciplinary engagement between scientific and societal actors to develop more robust answers to complex societal challenges. Although there seems to be agreement that these approaches might nurture innovations of a new kind, we know little regarding the research practices, their potential, and the limitations. To fill this gap, this article investigates a funding scheme in the area of transdisciplinary sustainability research. It offers a detailed analysis of the imaginaries and expectations (...) on which the funding scheme rests and how researchers actually practice transdisciplinarity within the respective projects. Identifying three ideal typical models of science–society relations at work, attention is paid to how, where, and when societal and scientific arenas get entangled. This article discusses the tensions between classical academic values and efforts to open research to society, the prevailing power structures that make societal participation challenging, the importance of place and technopolitical cultures, and how temporal project structures impede more radical openings to new ways of knowledge production. We finally emphasize that transdisciplinary knowledge production can only become a serious option for addressing societal challenges if broader changes are made to the knowledge regimes in place. (shrink)

It is shown that David Hilbert's formalistic approach to axiomaticis accompanied by a certain pragmatism that is compatible with aphilosophical, or, so to say, external foundation of mathematics.Hilbert's foundational programme can thus be seen as areconciliation of Pragmatism and Apriorism. This interpretation iselaborated by discussing two recent positions in the philosophy ofmathematics which are or can be related to Hilbert's axiomaticalprogramme and his formalism. In a first step it is argued that thepragmatism of Hilbert's axiomatic contradicts the opinion thatHilbert style (...) axiomatical systems are closed systems, a reproachposed by Carlo Cellucci. In the second section the question isdiscussed whether Hilbert's pragmatism in foundational issuescomes close to an a-philosophical ``naturalism in mathematics'' assuggested by Penelope Maddy. The answer is ``no'', because forHilbert philosophy had its specific tasks in the general projectto found mathematics. This is illuminated in the concludingsection giving further evidence for Hilbert's foundationalapriorism by discussing his ``axiom of the existence of mind'' andrelating it to the ``one and only axiom'' of the German algebraistof logic, Ernst Schröder, postulating the inherence of signs onthe paper. (shrink)

Hauptbeschreibung Hinter den Anderen erscheint unser Ich immer schon als Schattenbild aller Möglichkeiten Seit jeher ist sich der Mensch in seiner Bösartigkeit und Güte ein Rätsel, dem Philosophen mit Moral und Tugend beizukommen versucht haben. Dabei ist der scharfe Blick auf das tatsächliche Verhalten von Menschen nicht verlorengegangen. Die Aufklärung am Beginn unserer Moderne versuchte eine Balance zwischen einem realistischen Menschenbild und einer zukunftsweisenden Perspektive zu finden, die das Zusammenleben durch Staat und Recht für alle verträglich machen sollte. D.

The acceleration and qualitative change of West European integration in the 1980s — as evidenced by the Single European Act — were big events of the world political economy of that decade. They not only paved the way for political union, but also altered the competition in the Triad — United States, Western Europe and Japan. This article analyzes the relaunch of the European Community and later European Union in the framework of conflictive evolutionary theory. Two elements of that theory (...) are combined to explain the timing, the forces behind and the actors involved. The arguments are developed from the theory of the rise and decline of societal models and from the theory of competition among governments in the world market for social order and protection. The thesis of an elite argain among European transnational corporations and the EC-Commission is exposed ana briefly confronted with empirical evidence from the author's research. The article also reflects the competitive position of Western Europe in the Triad and draws conclusions for the future structure of the core: no hegemon similar to Britain's and America's position in the past will emerge since the systemic conditions have changed. (shrink)

In this sequel toSelf-reference in arithmetic Iwe continue our discussion of the question: What does it mean for a sentence of arithmetic to ascribe to itself a property? We investigate how the properties of the supposedly self-referential sentences depend on the chosen coding, the formulae expressing the properties and the way a fixed point for the expressing formulae are obtained. In this second part we look at some further examples. In particular, we study sentences apparently expressing their Rosser-provability, their own${\rm{\Sigma (...) }}_n^0$-truth or their own${\rm{\Pi }}_n^0$-truth. Finally we offer an assessment of the results of both papers. (shrink)

To the axioms of Peano arithmetic formulated in a language with an additional unary predicate symbol T we add the rules of necessitation and conecessitation T and axioms stating that T commutes with the logical connectives and quantifiers. By a result of McGee this theory is -inconsistent, but it can be approximated by models obtained by a kind of rule-of-revision semantics. Furthermore we prove that FS is equivalent to a system already studied by Friedman and Sheard and give an analysis (...) of its proof theory. (shrink)

The proof-theoretic results on axiomatic theories oftruth obtained by different authors in recent years are surveyed.In particular, the theories of truth are related to subsystems ofsecond-order analysis. On the basis of these results, thesuitability of axiomatic theories of truth for ontologicalreduction is evaluated.