Vuvodnim rocniku ORGANONu Pavel Cmorej ve svych @@piton lch z logicjce syntaxe predvadel, jak je prirozeny jazyk mozne nahlizet prismatem 'standardni' logiky. Historicky ovsem neexistuje jedna logika,ale ruzne logicke systemy, ktere spolu castecne soupeii (tak jako treba klasicka a intuicionisticka logika), castecne jeden druhy rozsiruji (Iako treba klasicky vyrokovy a klasicky predikatovy pocet) ci se navzajem doplnuji (Iako napriklad modalni a temporalni logika). To co je v logice obecne prijimano za standard, je fakticky vysledkem interakce a soutezeni ruznych (...) neustale vznikajicich systemu. (shrink)

s. 50, 51 Ve vĂ˝razu 'x = Dallas ® S' ve formulĂch (5) a (6) a v neÄŤĂslovanĂ© formuli na desátĂ©m řádku odspoda na str. 51 má bĂ˝t nad symbolem 'S' vodorovná čárka (znaÄŤĂcĂ jeho negaci).

Když jsem v roce 1992 začínal na filosofické fakultě UK přednášet teorii sémantiky, cítil jsem intenzivní potřebu poskytnout studentům nějaký učební text. O překotném vývoji tohoto interdisciplinárního oboru, který odstartovalo v sedmdesátých letech úspěšné “zkřížení logiky s lingvistikou” Richardem Montaguem a dalšími a který se nezpomalil dodnes, totiž v češtině neexistovaly prakticky žádné zprávy (s čestnou výjimkou přístupu tzv. transparentní intenzionální logiky, který byl dílem českého emigranta Pavla Tichého a o kterém u nás psal Pavel Materna). Přehledové publikace, jaké (...) jsou potřeba pro někoho, kdo se chce v dané problematice zorientovat, se ovšem v té době i po světě teprve začínaly objevovat: v roce 1990 vyšla kniha An Introduction to Semantics Gennara Chierchii a Sally McConell-Ginnetové a v roce 1991 vydala skupina holandských logiků pod kolektivním pseudonymem L.T.F. Gamut dvousvazkovou knihu Language and Meaning. Za této situace jsem se pokusil co nejrychleji sepsat učební text, který by moji studenti i jiní zájemci o sémantiku mohli použít; a protože o jeho vydání paradoxně projevila větší zájem filosofická fakulta Masarykovy univerzity v Brně (kde jsem já osobně nikdy neučil; ale zájem o sémantiku tam neúnavně podněcoval a vydání mého textu tam zprostředkoval kolega Materna) než filosofická fakulta mojí domovské Karlovy univerzity, vyšel tento text v Brně, a to pod názvem Úvod do teoretické sémantiky. (shrink)

"Syntaktika sa obmedzuje výlučně na skúmanie samotných výrazov ... Sémantika sa sústreďuje najmä na skúmanie vzťahov medzi jazykovými výrazmi a predmetmi, na ktoré sa tieto výrazy vzťahujú a na tie vlastnosti a vzťahy výrazov, ktoré súvisja a ich vzťahmi k týmto predmetom." (P. Cmorej: Úvod do logickej syntaxe a sémantiky, IRIS, Bratislava, 2001, s. 19.).

In his sharp critique of contemporary theoretical linguistics, Pavel Tichý speaks about a scandal (The Scandal of Linguistics , From the Logical Point of view 3/92, 70-80). As a matter of fact, I am not quite unsympathetic with such a sharp criticism of linguistics; but the view of language and of linguistic theory presented in Tichý's essay seem to me to be so misguiding, that I doubt that his advice presented in the essay could really help linguistics "to get (...) out off ground". (shrink)

[A Note on Peregrin‘s Critique of Cmorej‘s Conception. of Linguistic Expression].

Recenze: Apostolos Doxiadis - Christos H. Papadimitriou - Alecos Papadatos - Annie Di Donna, Logikomiks: Hledání absolutní pravdy. Praha: Dokořán 2012, 336 s. Z anglického originálu Logicomix: An Epic Search for Truth přeložil Jaroslav Peregrin.

The paper presents an argument against a "metaphysical'* conception of logic according to which logic spells out a specific kind of mathematical structure that is somehow inherently related to our factual reasoning. In contrast, it is argued that it is always an empirical question as to whether a given mathematical structure really does captures a principle of reasoning. lMore generally, it is argued that it is not meaningful to replace an empirical investigation of a thing by an investigation of its (...) a priori analyzable structure without paying due attention to the question of whether it really is the structure of the thing in question.) It is proposed to elucidate the situation by distinguishing two essentially different realms with which our reason must deal: "the realm of the natural'*, constituted by the things of our empirical world, and "the realm of the formal'*, constituted by the structures that we use as "prisms'* to view, to make sense of, and to reconstruct the world. It is suggested that this vantage point may throw light on many foundational problems of logic. (shrink)

In this study two strands of inferentialism are brought together: the philosophical doctrine of Brandom, according to which meanings are generally inferential roles, and the logical doctrine prioritizing proof-theory over model theory and approaching meaning in logical, especially proof-theoretical terms.

This book offers a comprehensive account of logic that addresses fundamental issues concerning the nature and foundations of the discipline. The authors claim that these foundations can not only be established without the need for strong metaphysical assumptions, but also without hypostasizing logical forms as specific entities. They present a systematic argument that the primary subject matter of logic is our linguistic interaction rather than our private reasoning and it is thus misleading to see logic as revealing "the laws of (...) thought". In this sense, fundamental logical laws are implicit to our "language games" and are thus more similar to social norms than to the laws of nature. Peregrin and Svoboda also show that logical theories, despite the fact that they rely on rules implicit to our actual linguistic practice, firm up these rules and make them explicit. By carefully scrutinizing the project of logical analysis, the authors demonstrate that logical rules can be best seen as products of the so called reflective equilibrium. They suggest that we can profit from viewing languages as "inferential landscapes" and logicians as "geographers" who map them and try to pave safe routes through them. This book is an essential resource for scholars and researchers engaged with the foundations of logical theories and the philosophy of language. (shrink)

This book addresses the hasty development of modern logic, especially its introducing and embracing various kinds of artificial languages and moving from the study of natural languages to that of artificial ones. This shift seemed extremely helpful and managed to elevate logic to a new level of rigor and clarity. However, the change that logic underwent in this way was in no way insignificant, and it is also far from an insignificant matter to determine to what extent the "new logic" (...) only engaged new and more powerful instruments to answer the questions posed by the "old" one, and to what extent it replaced these questions with new ones. Hence, this movement has generated brand new kinds of philosophical problems that have still not been dealt with systematically. Philosophy of Logical Systems addresses these new kinds of philosophical problems that are intertwined with the development of modern logic. Jaroslav Peregrin analyzes the rationale behind the introduction of the artificial languages of logic; classifies the various tools which were adopted to build such languages; gives an overview of the various kinds of languages introduced in the course of modern logic and the motifs of their employment; discusses what can actually be achieved by relocating the problems of logic from natural language into them; and reaches certain conclusions with respect to the possibilities and limitations of this "formal turn" of logic. This book is both an important scholarly contribution to the philosophy of logic and a systematic survey of the standard logical systems that were established during the short history of modern logic. (shrink)

A review of deVries' and O'Shea's books, both titled "Wilfrid Sellars". By Jaroslav Peregrin.

There may be various reasons for claiming that meaning is normative, and additionally, very different senses attached to the claim. However, all such claims have faced fierce resistance from those philosophers who insist that meaning is not normative in any nontrivial sense of the word. In this paper I sketch one particular approach to meaning claiming its normativity and defend it against the anti-normativist critique: namely the approach of Brandomian inferentialism. However, my defense is not restricted to inferentialism in any (...) narrow sense for it encompasses a much broader spectrum of approaches to meaning, connected with the Wittgensteinian and especially Sellarsian view of language as an essentially rule-governed enterprise; and indeed I refrain from claiming that the version of inferentialism I present here is in every detail the version developed by Brandom. (shrink)

I propose that logic may be seen as a science of patterns—however, not in the sense in which mathematics is a science of patterns, but rather in the sense in which physics is. The proposal is that logic identifies, explores, and fixes the inferential patterns which de facto govern our argumentative practices. It can be seen, I argue, as picking up the patterns and working from them toward the state of reflective equilibrium, where the laws it aims at are explicitly (...) articulated. Due to the normativity of logic, this process is not quite the same as that in which a natural science works its way from data to its laws; however, there is no reason why it should be seen as proceeding via a mysterious "a priori analysis.” Instead, it should proceed in the intersubjective space in which the sciences are practiced. (shrink)

Summary. I do not think there is one true answer to the question What is logic?. There are, clearly, good and less good answers, and there are answers which are plainly wrong; but the term 'logic' has been employed, throughout the history of the subject matter, in such diverse ways that no single one of the uses can be said to be the correct one. However, even among the answers which are acceptable on historico-semantical grounds there are still, without doubt, (...) good and less good ones, in the sense of more and less useful. In this paper, I will argue for a certain, rather narrow conception of logic; and I am going to argue that it is not only an acceptable answer, but also one which is more useful and fruitful than its alternatives. (shrink)

Recent decades are marked by the upswing of the use of the term “normativity“ not only in philosophical discussions, but increasingly also within reports of empirical scientists. This may invoke the question how far these developments overlap and in how far they go past each other. A significant overlap might lead to an interesting coalescence of the two approaches to norms, which may provide for a ”naturalization” of some philosophical speculations about normativity, putting them on a firmer foundation, while offering (...) the empirical scientists some new impulses for directing their research. In this paper I give an overview of some recent empirical results concerning human normativity and I point out a certain philosophical tradition, rooted especially in the works of Wittgenstein, Sellars and Brandom, which treats normativity so that it becomes more or less compatible with these results. (shrink)

Doing Worlds with Words throws light on the problem of meaning as the meeting point of linguistics, logic and philosophy, and critically assesses the possibilities and limitations of elucidating the nature of meaning by means of formal logic, model theory and model-theoretical semantics. The main thrust of the book is to show that it is misguided to understand model theory metaphysically and so to try to base formal semantics on something like formal metaphysics; rather, the book states that model theory (...) and similar tools of the analysis of language should be understood as capturing the semantically relevant, especially inferential, structure of language. From this vantage point, the reader gains a new light on many of the traditional concepts and problems of logic and philosophy of language, such as meaning, reference, truth and the nature of formal logic. (shrink)

While according to the inferentialists, meaning is always a kind of inferential role, proponents of other approaches to semantics often doubt that actual meanings, as they see them, can be generally reduced to inferential roles. In this paper we propose a formal framework for considering the hypothesis of the.

We know that lots of things are correct. (Helping people in need is correct. Moving the bishop diagonally when playing chess is correct. Adding 7 to 5 to make 12 is correct.) But where does this correctness come from? I argue that correctness is best seen as something we humans created in the process of forming our societies. This, admittedly, is speculative; but aside of this, there are facts that are more than speculations. In particular, I argue that our correctness (...) is based on normative attitudes, though these often determine only the criteria of correctness, letting the criteria to then determine what is correct independently of our will. Thus it holds both that correctness is wholly our creation and that it is independent of us in the sense that things may be correct even if we do not know that they are (or, indeed, think them incorrect). (shrink)

In this paper we put forward and defend a view of the nature of logic that we call moderate anti-exceptionalism. In the first part of the paper we focus on the problem of genuine logical validity and consequence. We make use of examples from current debates to show that attempts to pinpoint the one and only authentic logic inevitably either yield irrefutable theories or lead to dead ends. We then outline a thoroughly naturalist account of logical consequence as grounded in (...) rules implicit in human linguistic practices. We insist that there are only two existing kinds of language: natural languages, and artificial languages that have been forged by us. There is thus no room for a "genuine" language and hence for "genuine" logic. We conclude that though logical theories are established—and are liable to criticism—in a similar fashion as those of the sciences, and in this sense logic is not exceptional, to fulfill its mission logic must lay a claim to normative authority over our argumentation and reasoning, which makes its methodology somewhat special. Logical theory is not meant to provide just an explanation, the standards it establishes serve also as a tool, providing for a reinforcement of our rational communication. (shrink)

Variations on the argument “Inferences are moves from meaningful statements to meaningful statements; hence the meanings cannot be inferential roles” are often used as knock-down argument against inferentialism. In this short paper I indicate that the argument is simply a non sequitur.

The article addresses two closely related questions: What are the criteria of adequacy of logical formalization of natural language arguments, and what gives logic the authority to decide which arguments are good and which are bad? Our point of departure is the criticism of the conception of logical formalization put forth, in a recent paper, by M. Baumgartner and T. Lampert. We argue that their account of formalization as a kind of semantic analysis brings about more problems than it solves. (...) We also argue that the criteria of adequate formalization need not be based on truth conditions associated with logical formulas; in our view, they are better based on structural (inferential) grounds. We then put forward our own version of the criteria. The upshot of the discussion that follows is that the quest for an adequate formalization in a suitable logical language is best conceived of as the search for a Goodmanian reflective equilibrium. (shrink)

In Meaning and Structure, Peregrin argues that recent and contemporary (post)analytic philosophy, as developed by Quine, Davidson, Sellars and their followers, is largely structuralistic in the very sense in which structuralism was originally tabled by Ferdinand de Saussure. The author reconstructs de Saussure's view of language, linking it to modern formal logic and mathematics, and reveals close analogies between its constitutive principles and the principles informing the holistic and neopragmatistic view of language put forward by Quine and his followers. (...) Peregrin also indicates how this view of language can be made compatible with what is usually called 'formal semantics'. Drawing on both the Saussurean tradition and recent developments in analytic philosophy of language, this book offers a unique study of the ways in which the concept of meaning can be seen as consisting in the concept of structure. (shrink)

V knize konfrontuji běžné pojetí jazyka, podle kterého je význam záležitostí vztahu slovo-věc, se strukturalistickým pohledem, podle kterého význam nemůže existovat bez toho, aby byly výrazy určitým způsobem provázány mezi sebou. Ukazuji, že takový strukturalismus není jen věcí Ferdinanda de Saussura, ale že se vyskytuje (pod jménem holismus) i v základech (post)analytické filosofie Quina, Davidsona, Sellarse a Brandoma. Ukazuji také, že není neslučitelný s formálně-logickým přístupem k významu, jaký byl rozpracován Carnapem, Montaguem a dalšími.

The perennial question – What is meaning? – receives many answers. In this paper I present and discuss inferentialism – a recent approach to semantics based on the thesis that to have ( such and such ) a meaning is to be governed by ( such and such ) a cluster of inferential rules . I point out that this thesis presupposes that looking for meaning requires seeing language as a social institution (rather than, say, a psychological reality). I also (...) indicate that this approach may be seen as a new embodiment of the old ideas of structuralism. (shrink)

The heyday of discussions initiated by Searle's claim that computers have syntax, but no semantics has now past, yet philosophers and scientists still tend to frame their views on artificial intelligence in terms of syntax and semantics. In this paper I do not intend to take part in these discussions; my aim is more fundamental, viz. to ask what claims about syntax and semantics in this context can mean in the first place. And I argue that their sense is so (...) unclear that that their ability to act as markers within any disputes on artificial intelligence is severely compromised; and hence that their employment brings us nothing more than an illusion of explanation. (shrink)

Inferentialism is the conviction that to be meaningful in the distinctively human way, or to have a 'conceptual content', is to be governed by a certain kind of inferential rules. The term was coined by Robert Brandom as a label for his theory of language; however, it is also naturally applicable (and is growing increasingly common) within the philosophy of logic.

The topic of this paper is the question whether there is a logic which could be justly called the logic of inference. It may seem that at least since Prawitz, Dummett and others demonstrated the proof-theoretical prominency of intuitionistic logic, the forthcoming answer is that it is this logic that is the obvious choice for the accolade. Though there is little doubt that this choice is correct (provided that inference is construed as inherently single-conclusion and complying with the Gentzenian structural (...) rules), I do not think that the usual justification of it is satisfactory. Therefore, I will first try to clarify what exactly is meant by the question, and then sketch a conceptual framework in which it can be reasonably handled. I will introduce the concept of 'inferentially native' logical operators (those which explicate inferential properties) and I will show that the axiomatization of these operators leads to the axiomatic system of intuitionistic logic. Finally, I will discuss what modifications of this answer enter the picture when more general notions of inference are considered. (shrink)

Tarskian model theory is almost universally understood as a formal counterpart of the preformal notion of semantics, of the “linkage between words and things”. The wide-spread opinion is that to account for the semantics of natural language is to furnish its settheoretic interpretation in a suitable model structure; as exemplified by Montague 1974.