Dirk Greimann

This paper pursues two goals. The first is to show that Horwich's anti-primitivist version of minimalism must be rejected because, already for formal reasons, the truth-schema does not achieve a positive explication of any property of propositions. The second goal is to develop a more moderate primitivist version of minimalism according to which the truth-schema is admittedly powerless to underpin truth with something more basic but it still succeeds in giving a complete account of the necessary and sufficient conditions for a proposition to be true.

Joan Weiner has recently claimed that Frege neither uses, nor has any need to use, a truth-predicate in his justification of the logical laws. She argues that because of the assimilation of sentences to proper names in his system, Frege does not need to make use of the Quinean device of semantic ascent in order to formulate the logical laws, and that the predicate ‘is the True’, which is used in Frege's justification, is not to be considered as a truth-predicate, because it does not apply to true sentences or true thoughts. The present paper aims to show that Frege needs to use, and does use, a truth-predicate in this context. It is argued, first, that Frege needs to use a truthpredicate in order to show that the truth of the logical laws is evident from the senses of the sentences by means of which they are formulated, and second, that the predicate that he actually uses, ‘is the True’, must be considered as a truth-predicate in the relevant sense, because it can be used and is actually used by Frege to explain the truth-conditions of thoughts. To defend this interpretation, it is discussed whether the explanatory use of ‘is the True’ in Frege's system is compatible with his deflationary analysis of ‘true’. The paper's conclusion is that there is indeed a conflict here; but, from Frege's point of view, this conflict is due merely to the logical imperfection of natural language and does not affect the proper system but only its propaedeutic.

According to the standard characterization of logic in Frege’s writings, the word “true” indicates the essence of logic, as the word “good” indicates the essence of ethics and the word “beautiful” the essence of aesthetics. In a posthumous writing from 1915, however, Frege says that it is the assertoric force, and not the word “true”, which indicates the essence of logic properly. Prima facie, this correction is in conflict with Frege’s criticism of the psychologist conception of logic. For according to this criticism, logic is not the science of the laws of “being taken as true”, but the science of the laws of “being true”, while the assertoric force expresses being taken as true. In previous writings, I tried to resolve this conflict by a reconstruction of Frege’s conception of truth that is based on his thesis that truth is expressed in natural language by the “form of the assertoric sentence”. The goal of this paper is to defend this interpretation against the objections recently made by Marco Ruffino.

The aim of this paper is to give a detailed reconstruction of Frege's solution to his puzzle about the cognitive function of truth, which is this: On the one hand, the concept of truth seems to play an essential role in acquiring knowledge because the transition from the mere hypothetical assumption that p to the acknowledgement of its truth is a crucial step in acquiring the knowledge that p, while, on the other hand, this concept seems to be completely redundant because the sense of the word 'true' does not make any essential contribution to the senses of the sentences in which it occurs.

The Ontological Dilemma of Normative Ethics. This paper pursues two goals. The first is to show that normative ethics is confronted with the following dilemma: to be coherent, this discipline is ontologically committed to acknowledge the existence of objective values, but, to be scientifically respectable, it is committed to repudiate such values. The second goal is to assess the possible solutions to this dilemma. To this end, the following strategies are discussed: Kant’s constructive objectivism, Jürgen Habermas’ “epistemic ersatzism”, Franz von Kutschera’s “confirmation pragmatism”, and David Brink’s “objectivist tour de force”. The paper’s conclusion is that the dilemma cannot be solved because it rests on a clash of intuitions none of which can be given up.

The syntax of Frege's scientific language is commonly taken to be characterized by two oddities: the representation of the intended illocutionary role of sentences by a special sign, the judgement-stroke, and the treatment of sentences as a species of singular terms. In this paper, an alternative view is defended. The main theses are: the syntax of Frege's scientific language aims at an explication of the logical form of judgements; the judgement-stroke is, therefore, a truth-operator, not a pragmatic operator; in Frege's first system, '⊦ Δ' expresses that the circumstance Δ is a fact, and in his second system that the truth-value - Δ is the True; in both systems, the judgement-stroke is construed as a sign sui generis, not as a genuine predicate; its counterpart in natural language is the syntactic "form of assertoric sentences", not the truth-predicate; neither in Frege's first nor in his second system sentences are treated as singular terms.

In almost all of his writings on ontology, Quine celebrated the discovery of contextual definition as a milestone of the history of philosophy. The philosophical appeal of this tool resides in the hope that it allows us to reduce the ontological commitments of theories in substantial ways. The goal of this paper is to show that contextual definition does not really come up to this hope. It is argued that the material adequacy of such definitions presupposes a very strong context-principle, one implying that theories do not have any ontological commitments at all

Quine has persuasively shown that the empiricist "dogma of reductionism", which is the belief that each meaningfiil statement of science can be reduced to statements about immediate sense experience, must be abandoned. However, Quine's methodology of ontology seems to incorporate an analogous physicalistic dogma according to which the identity conditions of each scientifically respectable sort of abstract objects can be reduced to the identity conditions of physical objects. This paper aims to show that the latter dogma must be abandoned, too. In section 1, the reductionist methodology underlying Quine's prescript "No Entity without Identity" is reconstructed in detail. In section 2 and 3, this methodology is criticized on the ground that Quine's individuation of sets offendsagainst the reductive Criteria of adequacy for individuations that are presupposed by his criticism of the ontological recognition of intensional objects. Finally, in section 4 an alternative holistic conception of individuation is outlined.

According to Frege, the introduction of a new sort of abstract object is methodologically sound only if its identity conditions have been satisfactorily explained. Ironically, this ontological restriction has come to be known by Quine's criticism of Frege's intensional semantics, as the precept "No entity without identity." The aim of the paper is to reconstruct Frege's methodology of the introduction of abstract objects in detail, and to defend it against the more restrictive methodology underlying Quine's criticism of the recognition of intensional objects. The main thesis is that Quine's criterion of non-circularity for the satisfactory individuation of abstract objects must be rejected

The Idea behind Tarski's Definition of Truth. In Tarski's presentations of his truth-definition, the steps of the construction are not sufficiently explained. It is not clear, on what general strategy the construction is based, what the fundamental ideas are, how some crucial steps work, and especially how the transition from the definition of satisfaction to the definition of truth should be understood. The paper shows that the account given in the model-theoretic literature, which is supported by Tarski's lemmata A and B, is unsatisfactory, because Tarski's notion of truth can't be interpreted as ‘truth independent of the assignment of values to the variables’. Moreover, a satisfactory account of all the crucial steps is given.

The purpose of this paper is to reconstruct Frege’s argument against the relativity of truth contained in his posthumous writing Logic from 1897. Two points are made. The first is that the argument is a performative version of the common objection that truth relativism is incoherent: it is designed to show that the assertion of the relativity of truth involves a performative incoherence, because the absoluteness of truth is a success condition for making assertions. From a modern point of view, the central premise of the argument, that the successful making of assertions depends on the absoluteness of truth, is highly doubtful. The second point is that this premise can be made plausible within the framework of Frege’s conception of truth and assertion: it can be derived from his thesis that, in order to put something forward as true, we do not need the word ‘true’, but only the assertoric force.

Frege hat in seinen Schriften zu den philosophischen Grundlagen der Logik eine eigenwillige Konzeption der Wahrheit skizziert, der zufolge das Wahre und das Falsche keine Eigenschaften von Sätzen oder Gedanken sind, sondern Gegenstände, die von Sätzen bezeichnet werden. In dem vorliegenden Sammelband werden zentrale Komponenten dieser Konzeption näher beleuchtet: die Thesen der Undefinierbarkeit der Wahrheit und der Redundanz des Wortes „wahr“, die Auffassung der Wahrheitswerte als Gegenstände, das so genannte slingshot-Argument, die Konzeption der Tatsachen als wahre Gedanken und die Bestimmung der logischen Gesetze als Gesetze des Wahrseins. Mit Beiträgen von Joachim Bromand, Gottfried Gabriel, Martin Grajner, Dirk Greimann, Andreas Kemmerling, Ulrike Kleemeier, Michael Kober, Verena Mayer, Uwe Meixner, Marco Ruffino, Richard Schantz, Hans Sluga und Christian Thiel.

This paper aims to determine what kind of problem Frege's famous “Julius Caesar problem” is. whether it is to be understood as the metaphysical problem of determining what kind of things abstract objects like numbers or value‐courses are, or as the epistemological problem of providing a means of recognizing these objects as the same again, or as the logical problem of providing abstract sortal concepts with a sharp delimitation in order to fulfill the law of excluded middle, or as the semantic problem of fixing the referents of the corresponding abstract singular terms. It is argued that, for Frege, the Caesar problem is a bundle of related problems of which the semantic problem is the most basic one

Quine has persuasively shown that the empiricist "dogma of reductionism", which is the belief that each meaningfiil statement of science can be reduced to statements about immediate sense experience, must be abandoned. However, Quine's methodology of ontology seems to incorporate an analogous physicalistic dogma according to which the identity conditions of each scientifically respectable sort of abstract objects can be reduced to the identity conditions of physical objects. This paper aims to show that the latter dogma must be abandoned, too. In section 1, the reductionist methodology underlying Quine's prescript "No Entity without Identity" is reconstructed in detail. In section 2 and 3, this methodology is criticized on the ground that Quine's individuation of sets offendsagainst the reductive Criteria of adequacy for individuations that are presupposed by his criticism of the ontological recognition of intensional objects. Finally, in section 4 an alternative holistic conception of individuation is outlined.

According to Peter Aczel, the inconsistency of Frege’s system in Grundgesetze is due, not to the introduction of sets, as is usually thought, but to the introduction of the Horizontal. His argument is that the principles governing sets are intuitively correct and therefore consistent, while the scheme introducing the Horizontal amounts to an internal definition of truth conflicting with Tarski’s classic result on the undefinability of truth in the object language. The aim of this paper is to show that the Horizontal is innocent: Aczel’s diagnosis is based on a mistaken view of the structure underlying Frege’s ideal language

Quines Kritik an den grundlegenden semantischen Begriffen hat zwei wesentliche Prämissen: erstens daß die Linguistik als wissenschaftliche Disziplin der methodischen Restriktion unterstellt ist, empirisch sinnlose Hypothesen und Begriffe abzulehnen, und zweitens, daß die semantischen Begriffe tatsächlich empirisch sinnlos sind. Um die Überzeugungskraft der Ausführungen Quines untersuchen zu können, werden zunächst die verschiedenen Versionen von seiner Kritik analysiert, klar gegeneinander abgegerenzt und in die Form expliziter Argumentationen gebracht. Prämissen, die in die jeweiligen Versionen implizit eingehen, werden rekonstruiert und darauf hin untersucht, ob sie durch Quines Gesamtsystem gestützt werden, bzw. überhaupt mit ihm verträglich sind. Quines Kritik erfährt so eine rein immanente Kritik mit dem Ergebnis, daß es ihm nicht gelingt, zwingende Gründe für die Ablehnung der semantischen Begriffe anzuführen.