Frege: Truth and Assertion

Frege argued for the force-content distinction not only by appealing to the logical and fictional contexts which are most closely associated with the “Frege point", but also based on the fact that an affirmative answer to a yes-no question constitutes an assertion. Supposedly this is only intelligible if the question contains a forceless thought or proposition which an affirmative answer then asserts. Against this I argue that this fact more readily supports the view that questions operate on assertions and other (...) forceful acts themselves. Force is neither added to propositions as on the traditional view, nor is it cancelled as has recently been proposed. Rather higher-level acts such as questioning, but also e.g. conditionalizing, embed and present assertoric or directive acts that are forceful and committal, while suspending commitment to them. The Frege point confounds different varieties of force and the question whether something is merely presented for consideration with the question what is so presented. Force is representational: through assertoric and directive force indicators subjects non-conceptually present positions of theoretical or practical knowledge, while interrogative acts indicate positions of wondering which strive for such knowledge. (shrink)

A general survey of Frege's views on truth, the paper explores the problems in response to which Frege's distinctive view that sentences refer to truth-values develops. It also discusses his view that truth-values are objects and the so-called regress argument for the indefinability of truth. Finally, we consider, very briefly, the question whether Frege was a deflationist.

It is often claimed that the theory of function levels proposed by Frege in Grundgesetze der Arithmetik anticipates the hierarchy of types that underlies Church’s simple theory of types. This claim roughly states that Frege presupposes a type of functions in the sense of simple type theory in the expository language of Grundgesetze. However, this view makes it hard to accommodate function names of two arguments and view functions as incomplete entities. I propose and defend an alternative interpretation of first-level (...) function names in Grundgesetze into simple type-theoretic open terms rather than into closed terms of a function type. This interpretation offers a still unhistorical but more faithful type-theoretic approximation of Frege’s theory of levels and can be naturally extended to accommodate second-level functions. It is made possible by two key observations that Frege’s Roman markers behave essentially like open terms and that Frege lacks a clear criterion for distinguishing between Roman markers and function names. (shrink)

Gottlob Frege (1848–1925), begründete nicht nur die moderne Logik, sondern auch die Sprachphilosophie. Er erweiterte die funktionale Analyse der Sätze zu einer Systematik des gesamten sprachlichen Bedeutens und Ausdrucks, indem er zwischen den Zeichen selbst, dem Sinn und der Bedeutung der Zeichen unterschied. Dieser Band versammelt Kommentare und Analysen zu den drei klassischen Aufsätzen Funktion und Begriff (1891), Über Sinn und Bedeutung und Über Begriff und Gegenstand (beide 1892). Er verschafft dadurch einen fundierten Überblick sowohl zu den Kernproblemen wie auch (...) den Hintergründen von Freges bis heute kontrovers diskutiertem Ansatz. Dabei wird die enge Verzahntheit zwischen dem logischen Hintergrund und Freges logizistischem Anliegen einerseits und den Vorschlägen zur Deutung einer ganzen Reihe von sprachlichen Erscheinungen erkennbar. Dazu gehören Fragen nach dem Wesen von Begriff und Gegenstand bzw. Prädikaten und Eigennamen als den Grundelementen jeder Aussage überhaupt – aber auch Erläuterungen zu indirekter Rede und fiktionalem Diskurs. Der vorliegende Band bietet dazu informierte Kommentare und Analysen. (shrink)

The main question of this article is that what are the important differences or similarities between Aristotle's and Frege's analysis of the categorical proposition? Based on the famous view, Aristotle analyzes the categorical proposition into three components: Subject, Predicate and Relation; while Frege analyzes the categorical proposition into two components of Variable and Function, and therefore; these two analyses are completely different and there is no similarity between them. In the other article, I have argued that in the Aristotle's viewpoint, (...) in the logical analysis of the categorical proposition, against its linguistic analysis, it is divided into two main components of subject and predicate. At this article, I have shown that by accepting of this analysis and based on it, it becomes clear that: firstly, there are important similarities between these two analyses: 1) both are two-part analyses 2) Aristotle, like Frege, considers «to be attributed to something else» to be the essential feature of the predicate part; Secondly, there are important differences between them: 1) Aristotle considers «to be attributed to something else» to be merely the essential property of the Role of Predicate, but Frege considers it to be also the essential property of general concepts that replaces in this role, and therefore 2) Frege, against Aristotle, maintains that general concepts cannot be the subject of propositions. This viewpoint of Frege is based on the «Fundamental distinction between Object and Concept». Therefore the root of the differences between the two analyses should be sought in this assertion.. (shrink)

Frege is an anti-psychologist about logic who takes logic to be sharply distinguished from psychology. However, Frege also takes judgment, which seems to be a subject of psychology, to be essential to logic. Van der Schaar attempts to explain away this tension by arguing that judgments relevant to logic in Frege are not mental actions psychology deals with. Against this reading, I show that for Frege, judgments are mental actions consistently. The tension in question should be explained away by clarifying (...) the sense in which judgment is essential to logic for Frege. He takes judgment to be essential to logic because he thinks that logic requires judgments to be performed. Logic requires logicians to be committed to truth, and it is by judgments that we are committed to truth. If Frege takes judgment to be essential to logic only in this sense, he is not thereby committed to logical psychologism. (shrink)

ABSTRACT Frege characterizes judgement as the acknowledgement of the truth of a thought, appearing thereby to rule out false judgement. First in this paper I explain Frege’s characterization so that it does not have this consequence. Frege is not saying that for a subject S to judge that p is for S to acknowledge the truth of the thought that p. Rather, he is articulating judgement’s nature within self-consciousness. From within, to judge means to acknowledge a truth. Second, I suggest (...) that this articulation is centrally operative in Frege’s argument for the indefinability of truth. As Frege argues, it follows from judgement’s self-consciousness that truth is indefinable. (shrink)

Gottlob Frege takes logic to be the science of truth throughout his career. However, the mature Frege makes remarks which seem to go against the idea that logic is the science of truth. This paper shows that we can explain away this tension in the mature Frege’s conception of logic if we accept that truth is an object, that is, the truth-vale True qua the reference of a sentence, for Frege. Even though the main thesis of this paper is a (...) conditional, I provide reasons why we ought to consider the possibility seriously that truth is an object for Frege. I also explain how we can make sense of Frege’s conception of logic as the science of truth while accepting truth is an object. (shrink)

I develop a new reading of Frege’s argument for the indefinability of truth. I concentrate on what Frege literally says in the passage that contains the argument. This literal reading of the passage establishes that the indefinability argument is an arguably sound argument to the following conclusion: provided that the Fregean conception of judgment—which has recently been countered by Hanks—is correct and that truth is a property of truth-bearers, a vicious infinite regress is produced. Given this vicious regress, Frege chooses (...) to reject that truth is a property of truth-bearers. Frege’s choice leads to a unique version of the Fregean conception of judgment. His unique conception of judgment can cope with Hanks’s recent criticisms against the Fregean conception. (shrink)

In the explanations of logical laws and inference rules of the mature version of Begriffsschrift in Grundgesetze, Frege uses the predicate “… is the True.” Scholars like Greimann maintain that this predicate is a metalinguistic truth-predicate for Frege. This paper examines an argument for this claim that is based on the “nominal reading” of Frege’s conception of sentences—the claim that for Frege a sentence “p” is equivalent to a nonsentential phrase like “the truth-value of the thought that p.” In particular, (...) this paper attempts to establish two points concerning this argument based on the nominal reading. First, the argument implies a claim about the nature of assertion which Frege repeatedly denies in his mature works. Secondly, the nominal reading on which the argument depends is false. A sentence “p” is not equivalent to a nonsentential phrase like “the truth-value of the thought that p” for Frege. Our discussion will lead to an important lesson about Frege’s conception of sentences and of assertion. (shrink)

Asserting is the act of claiming that something is the case—for instance, that oranges are citruses, or that there is a traffic congestion on Brooklyn Bridge (at some time). We make assertions to share information, coordinate our actions, defend arguments, and communicate our beliefs and desires. Because of its central role in communication, assertion has been investigated in several disciplines. Linguists, philosophers of language, and logicians rely heavily on the notion of assertion in theorizing about meaning, truth and inference. -/- (...) The nature of assertion and its relation to other speech acts and linguistic phenomena (implicatures, presuppositions, etc.) have been subject to much controversy. This entry will situate assertion within speech act theory and pragmatics more generally, and then go on to present the current main accounts of assertion. (shrink)

We attempt here to trace the evolution of Frege’s thought about truth. What most frames the way we approach the problem is a recognition that hardly any of Frege’s most familiar claims about truth appear in his earliest work. We argue that Frege’s mature views about truth emerge from a fundamental re-thinking of the nature of logic instigated, in large part, by a sustained engagement with the work of George Boole and his followers, after the publication of Begriffsschrift and the (...) appearance of critical reviews by members of the Boolean school. (shrink)

In this dissertation I explore Frege’s conception of truth. In particular I defend the thesis that Frege in his mature career takes truth to be an object, i.e., the True qua the reference of true sentences. In the literature on truth Frege has been usually taken to be a truth deflationist or a truth primitivist. Indeed Frege leaves a number of comments that sound like typical deflationist claims and his famous indefinability argument is the most discussed argument for primitivism. However, (...) Frege is neither a deflationist nor a primitivist. His deflationist remarks and the indefinability argument are rather his arguments that truth is an object. -/- For Frege judging—and its verbal counterpart asserting—is always acknowledging the truth of a truth-bearer. Thus, if truth is an object for him, his conception of judgment ought to also be adjusted accordingly. Indeed Frege shows how we can understand judgment qua acknowledgment of truth if truth is an object. Specifically, judging that p is identifying the True with the reference of ‘p’ non-judgmentally, i.e., without judging that p is identical with the reference of ‘p’. Frege’s conception of judgment impacts his conception of knowledge because the act of judging is that of producing knowledge. In a nutshell our act of judging and the knowledge we produce by it are epistemically grounded in our objectual knowledge of the True. If we take this point into account, we can develop a new reading of Frege’s claim that logic is the science of truth. -/- The suggested reading of Frege’s conception of truth and related notions can make a contribution to contemporary philosophical problems. First, Frege’s conception of judgment can cope with Peter Hanks’s recent criticisms of the Fregean picture of judgment in general. Secondly, his conception of assertion can explain the connection between truth and assertion in a novel way. Lastly, Frege’s conception of knowledge can be developed into a new theory of knowledge where objectual knowledge is more fundamental than propositional knowledge. (shrink)

This paper addresses an issue with the sign ‘⊢’ in Frege’s mature version of Begriffsschrift, i.e., the version in ‘Function and Concept’ and Grundgesetze. The sign is a performative for asserting in that writing down ‘⊢p’ is equivalent to asserting that p. Frege further says that writing ‘ p’ is also equivalent to identifying the reference of ‘p’ with the truth-value True. It looks as if he holds that asserting that p consists in identifying the True with the reference of (...) ‘p’. Frege’s commitment to it, however, seems to encounter a number of tensions. This paper aims to show that these tensions can be avoided by endorsing a non-assertive conception of identification under which making an identification is not making an identity assertion. The suggested reading leads to an entirely di erent understanding of the compositionality of the sign ‘⊢’ as well as Frege’s conception of assertion and judgment. (shrink)

In 1893 and 1903, two volumes of the most important of Frege’s works Grundegezte der Arithmetik were published. This period can be called the peak of Frege’s logicism. Although the subject of truth in Frege’s logical and philosophical works has been repeatedly investigated, there is a lack of studies on his view in this period, especially in Polish literature. In this article, therefore, I carry out the following research task: to collect and order Frege’s statements about truth during the period (...) of publishing the two volumes of Grundegezte der Arithmetik. I refer to the texts published during Frege’s life, published posthumously and his correspondence. Particularly noteworthy are: Grundegezte der Arithmetik and the unpublished Logik. That is why there are two separate sections dedicated to these two texts, whereas the discussions of truth from other texts are grouped thematically: the problem of antinomy, geometry, expression of generality, and others. The subject of truth appears there in relation to logic, philosophy of language, philosophy of logic, philosophy of mathematics and ontology. (shrink)

The object reading of Frege's conception of truth holds that, for him, truth is an object---the truth-value the True. Greimann rejects the object reading and suggests an alternative reading. According to his suggested reading, Frege is the proponent of the assertion theory of truth the main thesis of which is that truth is what is expressed by the form of assertoric sentences and truth as such is neither an object nor a property. I argue that Frege cannot accept the assertion (...) theory. I also defend the object reading by elaborating it further and replying to Greimann's criticisms. (shrink)

In the Philosophical Investigations, Wittgenstein famously criticizes Frege’s conception of assertion. “Frege’s opinion that every assertion contains an assumption”, says Wittgenstein, rests on the possibility of parsing every assertoric sentence into two components: one expressing the assumption that is put forward for assertion, the other expressing that it is asserted. But this possibility does not entail that the “assertion consists of two acts, entertaining and asserting” - any more than the possibility of rendering assertions as pairs of questions and affirmative (...) answers entails that they consist of questions. Frege scholars protest that such criticism is inappropriate, not only because Frege doesn’t speak about assumptions, but also - and crucially - because Wittgenstein fails to address the logical nature of assertion as reflected in Frege’s use of the judgment stroke. They seem to read Wittgenstein’s argument in the light of a remark in the Tractatus saying that the judgment stroke is “logically meaningless” because it simply indicates that the author holds the propositions marked with this sign to be true. In this paper, I argue that Wittgenstein’s criticism of Frege is not that the latter’s conception of judgment and assertion contains a corrupting psychological element. Rather, the criticism is that for Frege judgment and assertion are composed of two separate acts, i.e. an act of referring to a truth value and an act of determining which of the two it is. Through a detailed examination of the “black-spot analogy” in the Tractatus, I want to show that Wittgenstein presents a serious objection to Frege’s conception of judgment and assertion. (shrink)

In the Philosophical Investigations, Wittgenstein famously criticizes Frege's conception of assertion. "Frege's opinion that every assertion contains an assumption", says Wittgenstein, rests on the possibility of parsing every assertoric sentence into two components: one expressing the assumption that is put forward for assertion, the other expressing that it is asserted. But this possibility does not entail that the "assertion consists of two acts, entertaining and asserting" – any more than the possibility of rendering assertions as pairs of questions and affirmative (...) answers entails that they consist of questions. Frege scholars protest that such criticism is inappropriate, not only because Frege doesn't speak about assumptions, but also – and crucially – because Wittgenstein fails to address the logical nature of assertion as reflected in Frege's use of the judgment stroke. They seem to read Wittgenstein's argument in the light of a remark in the Tractatus saying that the judgment stroke is "logically meaningless" because it simply indicates that the author holds the propositions marked with this sign to be true. In this paper, I argue that Wittgenstein's criticism of Frege is not that the latter's conception of judgment and assertion contains a corrupting psychological element. Rather, the criticism is that for Frege judgment and assertion are composed of two separate acts, i.e. an act of referring to a truth value and an act of determining which of the two it is. Through a detailed examination of the 'black-spot analogy' in the Tractatus, I want to show that Wittgenstein presents a serious objection to Frege's conception of judgment and assertion. (shrink)

W latach 1893 i 1903 ukazały się dwa tomy najważniejszego dzieła Fregego Grundegezte der Arithmetik. Ten okres można nazwać „szczytem logicyzmu” Fregego. Chociaż temat prawdy w logiczno-filozoficznej twórczości Fregego był podejmowany wielokrotnie, to brakuje pozycji skupiającej się na badaniu poglądów w tym okresie. Dotyczy to w szczególności literatury polskiej. Moim zadaniem jest zebranie i uporządkowanie wszystkich wypowiedzi Fregego na temat prawdy w okresie wydawania wspomnianych tomów. Realizując to zadanie, badam użycie tego pojęcia w pierwszym tomie Grundegezte der Arithmetik oraz w (...) niepublikowanym tekście Logik. Podejmuję zagadnienie funkcjonowania tego terminu w szczególnych kontekstach: antynomii, geometrii i wyrażania ogólności. Na koniec zasygnalizuję kwestię sposobu rozumienia późniejszych wypowiedzi Fregego na temat prawdy. (shrink)

ABSTRACT In “Die Verneinung”, Frege discusses two types of negation, a semantic one and a pragmatic one. Semantic negation consists in the application of the logical function denoted by ‘it is false that p’ to a thought, and pragmatic negation in the act of asserting or judging a thought as false. According to the standard interpretation, Frege does not acknowledge pragmatic negation, because it is logically redundant. He therefore rejects the classical dualistic view that both truth and falsity are qualities (...) of judgement and adopts instead the monistic view that to judge is always to recognize a thought as true. My aim in this paper is to show that this interpretation cannot be sustained. Though Frege does not endorse the classical view, he defends a dualistic conception that is characterized by the claim that judging is a binary operation that contains both the act of recognizing a thought as true and the act of rejecting the opposite thought as false. To make this interpretation plausible, Frege’s dualistic remarks on negation in three posthumous writings, which have received little attention so far, are analyzed in detail and their background is reconstructed. It is argued that Frege acknowledges negative judgements to account for the epistemic role of the act of judgement in the acquisition of knowledge. RESUMO Frege discute dois tipos de negação em “Die Verneinung” : uma semântica e uma pragmática. Negação semântica consiste na aplicação da função lógica denotada por ‘é falso que p’ para um pensamento, e negação pragmática no ato de afirmar ou julgar um pensamento como falso. De acordo com a interpretação padrão, Frege não reconhece a negação pragmática, porque ela é logicamente redundante. Assim, ele rejeita a visão dualística clássica de que tanto verdade quanto falsidade são qualidades de julgamento e, em vez disso, adota a visão monística de que julgar é sempre reconhecer um pensamento como verdade. Meu objetivo neste artigo é mostrar que tal interpretação não pode ser sustentada. Apesar de Frege não endossar a visão clássica, ele defende um conceito dualista que é caracterizado pela afirmação de que julgar é uma operação binária que contém tanto o ato de reconhecer um pensamento como verdade, quanto o ato de rejeitar o pensamento oposto como falso. Para tornar essa interpretação plausível, Frege faz observações dualísticas sobre a negação em três escritos póstumos, que têm recebido pouca atenção até o presente, são analisadas em detalhe e seu background é reconstruído. Argumenta-se que Frege reconhece o julgamento negativo para explicar o papel epistêmico do ato de julgar na aquisição de conhecimento. (shrink)

How is Frege able to claim that the notion of judgement is essential to his logic without introducing a form of psychologism? I argue first that Frege’s logical notion of judgement is to be distinguished from an empirical notion of judgement, that it cannot be understood as an abstract, idealized notion, and that there are doubts concerning a transcendental reading of Frege’s writings. Then, I explain that the logical notion of judgement has to be understood from a first-person perspective, to (...) be contrasted with a third-person perspective, in which judgement is understood as an empirical, psychological phenomenon. Frege’s logic is essentially a first-person engagement, as each of us can make use of the ideography as a science of logic only if we ourselves have made the relevant judgements. Finally, I claim that the judging agent as conceived by Frege can, after all, be understood as a transcendental ego. (shrink)

Assertion plays a crucial dual role in Frege's conception of logic, a formal and a transcendental one. A recurrent complaint is that Frege's inclusion of the judgement-stroke in the Begriffsschrift is either in tension with his anti-psychologism or wholly superfluous. Assertion, the objection goes, is at best of merely psychological significance. In this paper, I defend Frege against the objection by giving reasons for recognising the central logical significance of assertion in both its formal and its transcendental role.

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. (shrink)

Frege's philosophy of language includes detailed views on judgments. His formal logic - the Begriffsschrift - documents some of these views in the introduction and treatment of the judgment stroke. In current logic such an expression is either entirely ignored or, appearing as turnstile, plays an fundamentally different role. In this paper I put forward four claims: (i) Considering Frege's Begriffsschrift, it is methodologically palpable why the judgment stroke was omitted in nearly all logical systems developed after Frege. (ii) The (...) Frege-style inclusion of the judgment stroke in a formal language represents a partial implementation of results from speech act theory. (iii) A more comprehensive implementation, not limited to the judgment stroke, helps to satisfy justified expectations about formal languages and logical calculi. (iv) Such an implementation has not yet been achieved in the current logical mainstream. (shrink)

In a posthumous text written in 1915, Frege makes some puzzling remarks about the essence of logic, arguing that the essence of logic is indicated, properly speaking, not by the word ‘true’, but by the assertoric force. William Taschek has recently shown that these remarks, which have received only little attention, are very important for understanding Frege's conception of logic. On Taschek's reconstruction, Frege characterizes logic in terms of assertoric force in order to stress the normative role that the logical (...) laws play vis-à-vis judgement, assertion and inference. My aim in this paper is to develop and defend an alternative reconstruction according to which Frege stresses that logic is not only concerned with ‘how thoughts follow from other thoughts’, but also with the ‘step from thought to truth-value’. Frege considers logic as a branch of the theory of justification. To justify a conclusion by means of a logical inference, the ‘step from thought to truth-value’ must be taken, that is, the premis.. (shrink)

In a famous passage (A68/B93), Kant writes that “the understanding can make no other use of […] concepts than that of judging by means of them.” Kant's thought is often called the thesis of the priority of judgments over concepts. We find a similar sounding priority thesis in Frege: “it is one of the most important differences between my mode of interpretation and the Boolean mode […] that I do not proceed from concepts, but from judgments.” Many interpreters have thought (...) that Frege's priority principle is close to (or at least derivable from) Kant's. I argue that it is not. Nevertheless, there was a gradual historical development that began with Kant's priority thesis and culminated in Frege's new logic. (shrink)

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. (shrink)

[ES] El presente trabajo muestra la continuidad, a través de la obra de Frege y en el contexto de su caracterización del hacer científico, de una noción de verdad que no es constructiva ni instrumental y ni siquiera puede entenderse como relación de correspondencia o adecuación. Se trata de un concepto primitivo y no definible, que se intenta llevar a sus últimas consecuencias —algo que no llegó a hacer Frege. El autor defiende, finalmente, una noción alternativa de verdad que podría (...) verse como condición de posibilidad de toda actitud epistémica. [EN] The present paper shows the continuity, through the work of Frege and the context of his characterization of scientific doing, of a notion of truth that is neither constructive nor instrumental, and can’t even be understood as a relation of correspondence or adaptation. It is a primitive and undefined concept, which is intended to be taken through its ultimate consequences –something that Frege did not come to do. The author supports, finally, an alternative notion of truth that could be seen as a condition of possibility of any epistemic attitude. (shrink)

This book has two objectives: to be a contribution to the understanding of Frege's theory of truth – especially a defence of his notorious critique of the correspondence theory - and to be an introduction to the practice of interpreting philosophical texts.

La noción de verdad juega un papel fundamental dentro del marco lógico- semántico expuesto por Gottlob Frege en sus ensayos “Función y concepto” y “Sentido y referencia”. En su artículo El pensamiento. Una investigación lógica, el filósofo alemán nos dice que la lógica es la ciencia que estudia lo verdadero y las leyes que en cuanto verdadero le competen, pero, ¿qué debemos entender por “verdad”? Esta interrogante será uno de los puntos centrales que Frege expondrá en su artículo. ¿La verdad (...) es una relación? ¿La verdad es una propiedad? Y, en caso de que sea una propiedad , ¿qué nos ofrece la verdad como predicado?, ¿qué nuevo conocimiento sobre aquello que predica nos aporta?Ahora bien, tras explicar y responder las preguntas con respecto a la verdad, nuestro autor termina afirmando en El pensamiento…, que la verdad es un concepto sui generis e indefinible, y es entonces cuando la noción de verdad expuesta en El pensamiento…, parece generar una tensión con la noción de verdad que sustenta todo el aparato lógico-semántico de la filosofía de Frege. El trabajo que expondré busca responder a las preguntas anteriores con respecto a la naturaleza de la verdad, rigiéndome por las respuestas de Frege y siguiendo la guía de autores como Joseph Salerno y Anthony Kenny y, además, busco examinar las interpretaciones existentes que pueden darse al “conflicto” que se genera debido a las dos diferentes nociones del concepto de verdad que aparecen a lo largo de la obra de Frege.The notion of truth plays a key role within the semantic logical framework outlined by Gottlob Frege in his essays “Function and concept” and “On Sense and Reference”. In his article “The Thought: a logical investigation”, the German philosopher tells us that logic is the science of truth and the laws, as true, which are of its competence, but what we must understand by “truth”? This question will be one of the central points that Frege shall exhibit in his article.”Is truth a relationship? Is truth a property?”. And, if it is a property , what86 episteme ns, vol. 31, nº 1, 2011, pp. 85-90gives us the truth as predicate? what new knowledge about what he predicates brings us?Now, after explaining and answering questions about the truth, our author ends by stating, in “The thought…”, that truth is a concept sui generis and indefinable, and that’s when the notion of truth presented in “Thought ...”, seems to generate tension with the notion of truth which underlies all the semantic-logical apparatus of the philosophy of Frege. These essay looks to answer the above questions regarding the nature of truth, guided by the responses of Frege and following the direction of authors like Joseph Salerno and Anthony Kenny. It also seeks to examine existing interpretations that may occur to the “conflict” that is generated due to the two different notions of the concept of truth that appear throughout the work of Frege. (shrink)

1. Einleitung 2. Herausforderungen für das Nichtgraduierbarkeits- und das Bivalenzprinzip 3. Freges Einwand gegen graduale Wahrheit 4. Warum semantische Vagheit keine Wahrheitsgrade erfordert 5. Grenzen ziehen, wo noch keine gezogen sind.

According to Frege, judgement is the ‘logically primitive activity’. So what is judgement? In his mature work, he characterizes judging as ‘acknowledging the truth’ (‘Anerkennen der Wahrheit’). Frege’s remarks about judging as acknowledging the truth of a thought require further elaboration and development. I will argue that the development that best suits his argumentative purposes takes acknowledging the truth of a thought to be a non-propositional attitude like seeing an object; it is a mental relation between a thinker, a thought, (...) and an object, namely a truth-value. (shrink)

§§3-4 of the Begriffsschrift present Frege’s objections to a dominant if murky nineteenth-century semantic picture. I sketch a minimalist variant of the pre-Fregean picture which escapes Frege’s criticisms by positing a thin notion of semantic content which then interacts with a multiplicity of kinds of truth to account for phenomena such as modality. After exploring several ways in which we can understand the existence of multiple truth properties, I discuss the roles of pointwise and setwise truth properties in modal logic. (...) I argue that thinking of supertruth and determinate truth as setwise truth properties allows an understanding of supervaluationist approaches to vagueness which escapes both Williamson’s objections to and a needless metalinguistic orientation of traditional supervaluationism. (shrink)

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. (shrink)

The founder of modern logic and grandfather of analytic philosophy was 70 years old when he published his paper 'Der Gedanke' (The Thought ) in 1918. This essay contains some of Gottlob Frege's deepest and most provocative reflections on the concept of truth, and it will play a prominent role in my lectures. The plan for my lectures is as follows. What is it that is (primarily) true or false? 'Thoughts', is Frege's answer. In §1, I shall explain and defend (...) this answer. In §2, I shall briefly consider his enthymematic argument for the conclusion that the word 'true' resists any attempt at defining it. In §3, I shall discuss his thesis that the thought that things are thus and so is identical with the thought that it is true that things are thus and so. The reasons we are offered for this thesis will be found wanting. In §4, I shall comment extensively on Frege's claim that, in a non-formal language like the one I am currently trying to speak, we can say whatever we want to say without ever using the word 'true' or any of its synonyms. I will reject the propositional-redundancy claim, endorse the assertive-redundancy claim and deny the connection Frege ascribes to them. In his classic 1892 paper 'Über Sinn und Bedeutung' (On Sense and Signification) Frege argues that truth-values are objects. In §5, I shall scrutinize his argument. In §6, I will show that in Frege's ideography (Begriffsschrift) truth, far from being redundant, is omnipresent. The final §7 is again on truth-bearers, this time as a topic in the theory of intentionality and in metaphysics. In the course of discussing Frege's views on the objecthood, the objectivity of thoughts and the timelessness of truth(s), I will plead for a somewhat mitigated Platonism. (shrink)

In the opening to his late essay, Der Gedanke, Frege asserts without qualification that the word "true" points the way for logic. But in a short piece from his Nachlass entitled "My Basic Logical Insights", Frege writes that the word true makes an unsuccessful attempt to point to the essence of logic, asserting instead that "what really pertains to logic lies not in the word "true" but in the assertoric force with which the sentence is uttered". Properly understanding what Frege (...) takes to be at issue here is crucial for understanding his conception of logic and, in particular, what he takes to be its normative status vis-à-vis judgement, assertion, and inference. In this paper, I focus my attention on clarifying the latter claim and Frege's motivations for making it, exposing what I take to be a fundamental tension in Frege's conception of logic. Finally, I discuss whether Frege's deployment of the horizontal in his mature Begriffsschrift helps to resolve this tension. (shrink)

I argued that Frege does not have a metatheory in the following sense: the justifications he offers for his basic laws and rules of inference neither employ nor require a truth-predicate or metalinguistic variables. In ‘Does Frege Use a Truth-predicate in his "Justification" of the Laws of Logic?’, Dirk Greimann disputes this. As Greimann interprets Frege, (i) Frege's remarks commit him to giving a metatheoretic justification of the basic laws and rules of his logic, and (ii) Frege actually gives such (...) a justification in the early sections of Grundgesetze—although the truth-predicate that Frege employs is a non-standard one: it is neither a predicate that holds of all and only true sentences nor a predicate that holds of all and only true thoughts. I argue that Greimann's interpretation is not, in the end, true to the text, and that his non-standard view of what is required of a Tarskian truth-predicate is ultimately not viable. (shrink)

It is commonly assumed that the conception of truth defended by Frege in his mature period is characterized by the view that truth is not the property denoted by the predicate 'is true', but the object named by true sentences. In the present paper, I wish to make plausible an alternative interpretation according to which Frege's conception is characterized by the view that truth is what is expressed in natural language by the "form of the assertoric sentence". So construed, truth (...) is neither an object (like the True) nor a property (like the Bedeutung of the predicate 'is true') but something of a very special kind that belongs to the same logical category as the logical relations (like subsumption). The main argument justifying this interpretation is that Frege's explication of truth does not hold of the True, but only of truth, considered as what is expressed by the form of the assertoric sentence. (shrink)

In his writings on the foundations of logic, Gottlob Frege, the father of modern logic, sketched a conception of truth that focuses on the following questions: What is the sense of the word "true"? Is truth a definable concept or a primitive one? What are the kinds of things of which truth is predicated? What is the role of the concept of truth in judgment, assertion and recognition? What is the logical category of truth? What is the significance of the (...) concept of truth for science in general and for logic in particular? The present volume is dedicated to the interpretation, reconstruction and critical assessment of Frege's conception of truth. It is of interest to all those working on Frege, the history of logic and semantics, or theories of truth. The volume brings together nine original papers whose authors are all widely known to Frege scholars. The main topics are: the role of the concept of truth in Frege's system, the nature of the truth-values, the logical category of truth, the relationship between truth and judgment, and the conception of the truth-bearers. (shrink)

Although Frege was eager to theoretically eliminate the judging subject from logic and mathematics, his system is permeated with notions that refer to subjective mental processes, such as grasping a thought, assuming, judging, and value. His semantic system depends on such notions, but since Frege in general shuns explaining them, his central conception of judgment and truth remains dark. In this paper it is proposed to fill out the gaps in Frege's explanations with the help of Husserl's phenomenological descriptions, especially (...) those of the sixth Logical Investigation. This leads to a comparison between Frege's notion of judgment and Husserl's "Evidenz", and finally also to a phenomenological classification of Frege's remarks on truth. (shrink)

In Frege's writings, the notions of truth, judgment, and objectivity are all prominent and important. This paper explores the close connections between them, together with their ties to further cognate notions, such as those of thought, assertion, inference, logical law, and reason. It is argued that, according to Frege, these notions can only be understood properly together, in their inter-relations. Along the way, interpretations of some especially cryptic Fregean remarks, about objectivity, laws of truth, and reason, are offered, and seemingly (...) opposed "realist" and "idealist" strands in his position reconciled. (shrink)

Frege subscribed neither to a correspondence theory of truth nor, as is now frequently argued, to a simple redundancy theory of truth. He did not believe, in other words, that the word "true" can be dropped from the language without loss. He argues, instead, that in a perfect language we would not require the term "true" but that we are far from possessing such a language. A perfect language would be one that is fully adequate in the sense that it (...) would allow us to state truths and truth-connections without ambiguities and contradictions. Ordinary language and the calculi we can construct on its basis are, on the other hand, always imperfect. In seeing these imperfections, Frege takes up an important line of late nineteenth century philosophical thinking which can be illustrated also by Nietzsche's reflections on language. Frege and Nietzsche draw, however, diametrically opposed conclusions from the thought that our language proves imperfect. (shrink)