Frege: Philosophy of Language, Misc

The aim of this article is to contribute to a better understanding of Frege’s views on semantics and metatheory by looking at his take on several themes in nineteenth century geometry that were significant for the development of modern model-theoretic semantics. I will focus on three issues in which a central semantic idea, the idea of reinterpreting non-logical terms, gradually came to play a substantial role: the introduction of elements at infinity in projective geometry; the study of transfer principles, especially (...) the principle of duality; and the use of counterexamples in independence arguments. Based on a discussion of these issues and how nineteenth century geometers reflected about them, I will then look into Frege’s take on these matters. I conclude with a discussion of Frege’s views and what they entail for the debate about his stance towards semantics and metatheory more generally. (shrink)

I shall discuss some of the issues concerning a notorious doctrine of Frege that sentences are names of truth-values. I am interested in a problem raised by Kripke that the doctrine obscures the distinction between judgeable and unjudgeable contents. I shall present what I take to be Frege’s account of judgeable content: a proper expression of a judgeable content is susceptible to an analysis into a predicate and an argument-word, where a predicate is understood as a concept-word used to attribute (...) a certain property to the referent of the argument-word. In the light of this analysis, I shall argue that the doctrine does not obscure the distinction. The problem will also be discussed within the formal context of Grundgesetze. A new light will be shed on his rather peculiar conception of the symbol ‘ ${\boldsymbol \vdash}$’. (shrink)

Frege's strict alignment between his syntactic and ontological categories is not, as is commonly assumed, some kind of a philosophical thesis. There is no thesis that proper names refer only to objects, say, or that what refers to an object is a proper name. Rather, the alignment of categories is internal to Frege's conception of what syntax and ontology are. To understand this, we need to recognise the pride of place Frege assigns within his theorising to the notion of truth. (...) For both language and the world, the Fregean categories are logical categories, categories, that is, of truth. The elaboration of this point makes clear the incoherence of supposing that they might not align. (shrink)

This is a review article of a recently published guide to the philosophy of language, Przewodnik po filozofii języka, Wydawnictwo WAM, Kraków 2016). The article presents this publication against a background of other monographs and guides devoted to the topic of the contemporary philosophy of language which have been published in English. It aims at highlighting the main issues discussed by this philosophy, as well as its relation to linguistics.

Özne-yüklem ayrımı gibi, gündelik dilin gramerinden kaynaklanan ve klasik mantıkta geniş bir uygulama alanına sahip olan pek çok ayrıma kuşkuyla yaklaşan Frege, bilim ve felsefe yapmaya uygun bir dilin inşası için bu ayrımları terk etmemiz gerektiğini düşünür. Geliştirmiş olduğu mantıksal sistemle, bilim ve felsefe yapmaya uygun ideal bir dili inşa etmiş olduğunu düşünen Frege, matematiksel analizden devraldığı pek çok nosyonu mantığa uygulamıştır. Frege’nin geleneksel özne-yüklem ayrımı yerine ikame etmiş olduğu fonksiyon/argüman ayrımı oldukça verimli bir analiz biçimini ortaya çıkarmıştır. Biz ise (...) çalışmamızda, Frege’nin geleneksel özne-yüklem ayrımını neden terk ettiğine odaklanarak, bu ayrım yerine ikame etmiş olduğu fonksiyon-argüman ayrımından bahsedeceğiz. Sonrasında ise Frege’nin genel önermelere ilişkin geliştirmiş olduğu analizi serimlemeye çalışacağız. (shrink)

Neste artigo daremos principal atenção aos dois critérios de identidade de conteúdo conceitual que estão presentes nos §§ 3 e 8 da Conceitografia de Gottlob Frege. Nosso propósito é analisar as características destes critérios da notação conceitual de Frege porque pretendemos delimitar a discussão em torno dos problemas relacionados às noções de identidade intensional e extensional. Dessa forma, pretendemos: analisar os critérios de identidade de conteúdo conceitual presentes nos §§ 3 e 8 da Conceitografia com o objetivo de mostrar que (...) Frege apresentou uma caracterização híbrida da noção de conteúdo conceitual e fazer considerações a respeito de relações que podemos estabelecer entre os critérios intensionais e extensionais de Frege e Richard Kirkham presentes no livro Teorias da Verdade: Uma Introdução Crítica. Com tais comparações pretendemos averiguar: se o critério de identidade do § 8 da Conceitografia é idêntico ao critério extensional de equivalência material de Kirkham e se o critério de identidade do § 3 da Conceitografia é mais forte, mais fraco ou idêntico aos critérios intensionais de equivalência essencial e de equivalência de sinonímia de Kirkham. (shrink)

A presentation and discussion of Gottlob Frege's understanding of language, both natural and artificial, with close attention to his texts.

Gottlob Frege is not only the father of contemporary mathematical logic and the philosophy of logic, but — as advocated by others, especially M. Dummett – he is, above all, the founder of contemporary research in logic and the philosophy of language. The categories and concepts introduced by Frege were assimilated by philosophers studying language and inspired further detailed analyses. It seems impossible to overestimate the role of Frege’s theory, despite the fact that his objectives — setting a logical basis (...) for mathematics, undoing the psychologizing of logic, building a clear and accurate language for logic and science — differ from the ones set out by contemporary explorers of language. (shrink)

In a single short passage in "On Sense and Reference" Frege outlines his conception of direct quotation wherein words must not be taken as having their customary reference, but rather refer to the words themselves or the words of another speaker. What unifies these uses? What is the logical form of direct quotation sentences, and what is their analysis? How does this view fit in with Frege's general semantics? How far can it be extended? What problems does it face? We (...) explore, if not completely answer, each of these questions."It can also happen, however, that one wishes to talk about the words themselves or their sense. This happens, for instance, when the words of another are quoted. One's own words then first designate words of the other speaker, and only the latter have their usual reference. We then have signs of signs. In writing, the words are in this case enclosed in quotation marks. Accordingly, a word standing between quotation marks must not be taken as having its ordinary reference," The above quotation contains virtually everything Frege has to say about quotation and it raises a number of issues --some terminological, some substantive. First, note that in the passage cited, Frege opens with a discussion of quotation in general , then ends with the specific case of quotation marks in writing. Most discussions of Frege have concentrated on quotation marks in writing, and we shall do so here, but ultimately a Fregean account will have to be more general, a point we will return to later. Second, Frege speaks of words enclosed in quotation marks as about "the words themselves" and also as about "words of another speaker". But as we will see, these need not be the same. However, because Frege moved so easily between them he may have thought that referring to the words themselves is involved in reporting the words of another speaker. At least this is an idea we will exploit later, but first some terminology. (shrink)

In recent work on Frege, one of the most salient issues has been whether he was prepared to make serious use of semantical notions such as reference and truth. I argue here Frege did make very serious use of semantical concepts. I argue, first, that Frege had reason to be interested in the question how the axioms and rules of his formal theory might be justified and, second, that he explicitly commits himself to offering a justification that appeals to the (...) notion of reference. I then discuss the justifications Frege offered, focusing on his discussion of inferences involving free variables, in section 17 of Grundgesetze, and his argument, in sections 29-32, that every well-formed expression of his formal language has a unique reference. (shrink)

En este trabajo se expone la doctrina acerca del juicio predicativo en Husserl con especial referencia a las doctrinas de Frege y Aristóteles. Se pone de manifiesto la discrepancia entre Husserl y Frege en torno a la concepción del juicio como acto de 'síntesis' y 'separación'. Bajo este respecto, Husserl se aproxima expresamente a la concepción de Aristóteles. Aparte de lo anterior, se plantea el problema acerca de la supuesta prioridad del juicio sobre los actos no judicativos, como deseo, orden, (...) ruego, etc. En este sentido se analiza una tesis de Husserl que sobrepasa a la concepción de Aristóteles y que deja la cuestión abierta acerca de la estructura fundamental de la razón. (shrink)

Gibt es ein einzelnes Problem, das mit Recht als das Grundproblem der Semantik bezeichnet werden kann? Der Titel dieses Buches behauptet es und unterstellt zugleich, Frege habe sich mit diesem Grundproblem auseinandergesetzt. Die Aufgabe der Semantik besteht darin, die unterschiedlichen semantischen Funktionen verschiedener Ausdrücke darzustellen; sie wird zum Problem, weil unklar ist, wie sie begonnen werden soll. Einerseits sind die selbständigen Ausdrücke (meistens syntaktisch und immer semantisch) komplex, so dass scheinbar auch ihre Funktionen aus denen der einfacheren, die sie aufbauen, (...) erklärt werden müssen; andererseits ist gerade dies unmöglich, weil die letzteren Funktionen sicher nicht von den ersteren abhängen. Freges Beitrag zur philosophischen Semantik besteht zunächst einmal in gegensätzlichen Vorschlägen - kompositionaler Charakter der Sätze bei gleichzeitiger Kontextualität der Aufbaustücke - die sich jedoch verständlich vereinbaren lassen, und eine Aufklärung jener Funktionen von den komplexen her, beispielsweise der des Behauptungssatzes, ermöglichen. Nun können auch Freges Überlegungen zur semantischen Funktion des Behauptungssatzes selbst fruchtbar gemacht werden, und von dorther wird schließlich auch seine Theorie der unterschiedlichen Funktionen der einfacheren Ausdrücke, insbesondere der Eigennamen und Prädikate, verständlich. (shrink)

This text argues that we must depart considerably from Frege's own views if we are to work towards an adequate conception of natural language.

In this essay I will consider two theses that are associated with Frege,and will investigate the extent to which Frege really believed them.Much of what I have to say will come as no surprise to scholars of thehistorical Frege. But Frege is not only a historical figure; he alsooccupies a site on the philosophical landscape that has allowed hisdoctrines to seep into the subconscious water table. And scholars in a widevariety of different scholarly establishments then sip from thesedoctrines. I believe (...) that some Frege-interested philosophers at various ofthese establishments might find my conclusions surprising.Some of these philosophical establishments have arisen from an educationalmilieu in which Frege is associated with some specific doctrine at theexpense of not even being aware of other milieux where other specificdoctrines are given sole prominence. The two theses which I will discussillustrate this point. Each of them is called Frege''s Principle, but byphilosophers from different milieux. By calling them milieux I do not want to convey the idea that they are each located at some specificsocio-politico-geographico-temporal location. Rather, it is a matter oftheir each being located at different places on the intellectuallandscape. For this reason one might (and I sometimes will) call them(interpretative) traditions. (shrink)

Frege's linguistic views are exemplified by an analysis of the following topics: proper and common names, the definite and the indefinite article, the singular and plural distinction, words and sentences, together with the role of the copula, and the relationship of syntactical and semantical categories. His endeavour to overcome the ambiguities of natural language inherently connected with his logical investigations failed. In fact, his conceptions are relying on accidental features of a particular natural language, namely German. Therefore, they are neither (...) valid in general nor relevant from the logical point of view. They are influenced rather by his philosophical prejudices than by empirical results obtained in comparative philology and linguistics at all. (shrink)

Fregeś linguistic views are exemplified by an analysis of the following topics: proper and common names, the definite and the indefinite article, the singular and plural distinction, words and sentences, together with the role of the copula, and the relationship of syntactical and semantical categories. His endeavour to overcome the ambiguities of natural language inherently connected with his logical investigations failed. In fact, his conceptions are relying on accidental features of a particular natural language, namely German. Therefore, they are neither (...) valid in general nor relevant from the logical point of view. They are influenced rather by his philosophical prejudices than by empirical results obtained in comparative philology and linguistics at all. (shrink)

Chapter: Sense and Intentionality A: Reference and Sense — Preliminary Remarks Few people during Frege's lifetime paid due attention to his work and its ...

In this paper it is contended, against a challenging recent interpretation of Frege, that Frege should be credited with the first semirigorous formulation of semantic theory. It is argued that the considerations advanced against this contention suffer from two kinds of error. The first involves the attribution to Frege of a skeptical attitude towards the truth-predicate. The second involves the sort of justification which these arguments assume a classical semantic theory attempts to provide. Finally, it is shown that Frege was (...) in fact mindful of the need for the relevant sort of justification. (shrink)

Semantic theory has been used for many different philosophical purposes. This thesis investigates two such uses of semantic theory. The first is the use of semantic theory in providing a justification for a formal theory. The second is the use of semantic theory in yielding an account of understanding. ;The first paper is "Truth and Metatheory in Frege". In this paper, it is contended, against much recent work in Frege interpretation, that Frege should be credited with the first semi-rigourous formulation (...) of a semantic theory. In so doing, it attempts to show that many of the arguments which purport to establish that Frege could not have engaged in semantic theorizing suffer from two kinds of misconceptions. The first misconception involves the notion of truth which a philosopher must accept in order to engage in such theorizing. The second misconception involves the sort of justification which these arguments assume a semantic theory attempts to provide. ;The second paper is "Frege's Thesis". For each primitive expression in a language, two questions may be asked. The first is: what is it in virtue of which that expression has the semantic value it does? The second is: what is it in virtue of which a speaker counts as understanding that expression? Frege's Thesis states that one answer can be given to both of these questions: that the account of what it is in virtue of which a speaker understands an expression can also serve as the account of why that expression has the semantic value it does. In this paper, Frege's Thesis is defended. First, it is argued that some objections against it result from a confusion between semantics and metasemantics. Second, the Thesis is defended against traditional objections from Kripke and Putnam. ;The third paper is "Rigidity and Content". According to much recent philosophy of language, if two utterances differ in modal semantic value, then they must express different things. In this paper, it is argued that this view is false. In particular, it is argued that the notion of content which results from this consensus is incompatible with fundamental philosophical principles relating content to use. (shrink)

A discussion of 'Introduzione alla filosofia analitica del linguaggio' edited by Marco Santambrogio.

Este trabajo pretende examinar las coincidencias y divergencias que, en el modo de analizar lógicamente la oración, presentan las teorías de Frege y Zadeh. Este estudio previo proporcionará algunas razones para responder a la pregunta de si la teoría de Zadeh representa una ruptura o una evolución respecto al modo de análisis clásico fregeano.

It is a commonplace that Frege thought ordinary language to be seriously defective. Yet his remarks about ordinary language are not always unflattering. Comparing the relation between his formal language and ordinary language to the relation between the microscope and the eye, Frege remarked: ‘[the eye], because of the range of its applicability and because of the ease with which it can adapt itself to the most varied circumstances, has a great superiority over the microscope’. The point, of course, is (...) that, for Frege, the deficiencies of ordinary language arise in connection with the scientific endeavour: ordinary language is not an acceptable medium in which to pursue truth. As he goes on to observe: ‘… viewed as an optical instrument [the eye] reveals many imperfections … as soon as scientific purposes place strong requirements upon sharpness of resolution, the eye proves to be inadequate. On the other hand, the microscope is perfectly suited for just such purposes’. (shrink)

Two claims the present author has made about Frege's philosophy are defended against Michael Dummett's criticisms (The Interpretation of Frege's Philosophy and ?Objectivity and Reality in Lotze and Frege?, this journal, 1982). The claim that Frege was concerned primarily with epistemological problems rather than with the theory of meaning, and the claim (this journal, 1978) that the ascription of Wirklichkeit to Thoughts is evidence of Frege's realism, are clarified and defended. Dummett's own characterization of Frege's realism is considered and rejected.

Michael DUMMETT: Frege: Philosophy of Language, London: Duckworth second edition 1981; and Michael DUMMETT: The Interpretation of Frege's Philosophy, London: Duckworth 1981.