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)

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

If a firm provides incentives by promoting those who have performed well in a job, it may transfer them to a job to which they are not well suited and agents are promoted to their levels of incompetence. Tournaments are an alternative to reputation as a means of ensuring that firms reward good performance when performance is unverifiable.

In accordance with current philosophical opinions, four classical and one more recently proposed types of methods frequently used in theoretical natural science are specified here together with the corresponding sources of inspiration. More precisely, abstract models, thought experiments, mathematical hypotheses and metaphors are dealt with here as classical types of methods, whereas hybrids of mathematical hypotheses and thought experiments represent more recent methodic group. In addition, this paper describes the relationships of the introduced types of methods to the (i) three-floor (...) hierarchy of scientific theories, (ii) examples of ancient or recent discoveries and (iii) recent usage of computers. (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)

We investigate several ideal versions of the pseudointersection number \(\mathfrak {p}\), ideal slalom numbers, and associated topological spaces with the focus on selection principles. However, it turns out that well-known pseudointersection invariant \(\mathtt {cov}^*({\mathcal I})\) has a crucial influence on the studied notions. For an invariant \(\mathfrak {p}_\mathrm {K}({\mathcal J})\) introduced by Borodulin-Nadzieja and Farkas (Arch. Math. Logic 51:187–202, 2012), and an invariant \(\mathfrak {p}_\mathrm {K}({\mathcal I},{\mathcal J})\) introduced by Repický (Real Anal. Exchange 46:367–394, 2021), we have $$\begin{aligned} \min \{\mathfrak (...) {p}_\mathrm {K}({\mathcal I}),\mathtt {cov}^*({\mathcal I})\}=\mathfrak {p},\qquad \min \{\mathfrak {p}_\mathrm {K}({\mathcal I},{\mathcal J}),\mathtt {cov}^*({\mathcal J})\}\le \mathtt {cov}^*({\mathcal I}), \end{aligned}$$ respectively. In addition to the first inequality, for a slalom invariant \(\mathfrak {sl_e}({\mathcal I},{\mathcal J})\) introduced in Šupina (J. Math. Anal. Appl. 434:477–491, 2016), we show that $$\begin{aligned} \min \{\mathfrak {p}_\mathrm {K}({\mathcal I}),\mathfrak {sl_e}({\mathcal I},{\mathcal J}),\mathtt {cov}^*({\mathcal J})\}=\mathfrak {p}. \end{aligned}$$ Finally, we obtain a consistency that ideal versions of the Fréchet–Urysohn property and the strictly Fréchet–Urysohn property are distinguished. (shrink)

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)

In this ambitious exploration of humanity and civilizations throughout history, major historical events and processes in the history of mankind are looked at in order to understand the "currents" of history. Jaroslav Krejc analyzes the whole history of civilization and considers historical events such as feudalism and the development of science. By bringing both sociological and historical insights to this broad subject, and particular attention to different types of knowledge (such as religion and its impact state law labor and (...) ownership), the book offers insights into the future of civilization and shifting global power. (shrink)

In a remarkable early paper, Wilfrid Sellars warned us that if we cease to recognize rules, we may well find ourselves walking on four feet; and it is obvious that within human communities, the phenomenon of rules is ubiquitous. Yet from the viewpoint of the sciences, rules cannot be easily accounted for. Sellars himself, during his later years, managed to put a lot of flesh on the normative bones from which he assembled the remarkable skeleton of the early paper; and (...) his followers too. However, what they say is somewhat divergent; and therefore my aim in this paper is to concentrate on the very concept of rule and analyse it in the context of the question what it is about us humans that makes us special. (shrink)

The great revolutions of modern times have been analysed from various angles, but their civilizational aspects and contexts have on the whole been neglected. More specifically, the major 20th-century revolutions can be seen as particularly important cases of intercivilizational encounters. They represent different responses to the ascendant and challenging civilization of the West. The Western civilizational trajectory (or set of trajectories), based on a shift from fideism to empiricism and on multiple social dynamics fuelled by this cultural reorientation (such as (...) those of the capittalist economy and the one-nation-state), is selectively appropriated by non-Western societies which at the same time reject the less adaptable parts of the West in the name of traditional or invented alternatives. Russia, China, Turkey and Iran are analysed as variations of this recurrent pattern. At one end of the spectrum, the Russian revolution aspired to transcend Western models on the basis of a more radical interpretation of their own principles; at the other, the Iranian revolution, made up of several episodes with intervals in between, has been characterized by an exceptionally tenacious - and in some ways inventive - defence of a pre-existing civilizational identity. (shrink)

The question how to turn the principles implicitly governing the concept of truth into an explicit definition of the concept hence coalesced with the question how to get a finite grip on the infinity of T-sentences. Tarski's famous and ingenious move was to introduce a new concept, satisfaction, which could be, on the one hand, recursively defined, and which, on the other hand, straightforwardly yielded an explication of truth. A surprising 'by-product' of Tarski's effort to bring truth under control was (...) the breathtaking finding that truth is in a precisely defined sense ineffable, that no non trivial language can contain a truth-predicate which would be adequate for the very 4 language. This implied that truth proved itself to be strangely 'language-dependent': we can have a concept of truth-in-L for any language L, but we cannot have a concept of truth applicable to every language. In a sense, this means, as Quine put it, that truth belongs to "transcendental metaphysics", and Tarski's 'scientific' investigations seem to lead us back towards a surprising proximity of some more traditional philosophical views on truth. 3. TARSKI'S THEORY AS A PARADIGM So far Tarski himself. Subsequent philosophers then had to find out what his considerations of the concept of truth really mean and what are their consequences; and this now seems to be an almost interminable task. (shrink)

In this paper I put forward a thesis regarding the anatomy of “cultural evolution”, in particular the way the “cultural” transmission of behavioral patterns came to piggyback, through us humans, on the transmission effected by genetic evolution. I claim that what grounds and supports this new kind of transmission is a complex behavioral “meta-pattern” that makes it possible to grasp a pattern as something that “ought to be”, i.e. that transforms the pattern into what we can call a rule. (Here (...) I draw especially on the philosophical insights of Wilfrid Sellars.) In this way I interlink empirical research done in evolution theory with some more speculative philosophical theories, thus shedding new light on the former and adding an empirical footing to the latter. (shrink)

Business ethics represents an important aspect that influences each country’s socio-economic system, and is important to society, environment, and economy. The present article aims to define significant attributes of business ethics in the sector of small and medium-sized enterprises (SMEs) and compares their attitudes within the three most significant business sectors in the Visegrad Group countries (V4 countries: Czech Republic, Slovak Republic, Poland, and Hungary). An empirical study, focusing on the attitudes of small and medium-sized firms, was conducted in June (...) 2022 in Visegrad Group countries through the reputable hired company MNFORCE, using the Computer Assisted Web Interviewing research method. The total number of respondents in the Visegrad Group countries was 1,398. Statistical hypotheses were tested using descriptive statistics, chi-square, and Z-score at a significance level of α = 5%. The most important conclusion of this research is that there are no significant differences in the approach of SMEs to business ethics based on the sector in which the companies operate. Some notable differences in attitudes among SMEs in Slovakia and the Czech Republic were identified, but these were marginal. Therefore, differences in the transformation process within selected economic sectors do not impact the formation of attitudes of small and medium-sized companies in business ethics. It is evident that business ethics is significantly determined primarily by the personal characteristics of the owner/manager of the company, and the specificities of individual sectors do not influence this field. (shrink)

?lánok sa sústre?uje na Antisthenovo chápanie výchovy, ktoré bolo nepochybne inšpirované Sókratom. K?ú?ový zlomok – „po?iatkom výchovy je skúmanie mien“ – je dokladom o úzkom spojení logiky a etiky, aké môžeme nájs? aj v Platónových a Xenofóntových dialógoch. Autor ?lánku porovnáva Antisthenov koncept paideie s Isokratovým rétorickým ideálom a poukazuje na variácie sókratovského modelu výchovy u významných predstavite?ov Sókratovho krúžku . Na rozdiel od Platóna Antisthenés neprejavuje záujem o metafyzické rozvinutie náuky svojho u?ite?a, ale ponúka pozitívny etický ideál, ktorý treba (...) nasledova?. Práve v tomto bode neskôr na sókratovskú tradíciu nadviazali kynici a stoici, pri?om kynici kládli vä?ší dôraz na osobnú etiku, zatia? ?o stoici ju dop??ali aj logickými skúmaniami. (shrink)

This paper is a follow up of the author’s programme of characterizing Ramsey classes of structures by a combination of model theory and combinatorics. This relates the classification programme for countable homogeneous structures to the proof techniques of the structural Ramsey theory. Here we consider the classes of topological and metric spaces which recently were studied in the context of extremally amenable groups and of the Urysohn space. We show that Ramsey classes are essentially classes of finite objects only. While (...) for Ramsey classes of topological spaces we achieve a full characterization, for metric spaces this seems to be at present an intractable problem. (shrink)

Filosofové odedávna snili o jazyce, který by byl z hlediska řešení těch problémů, se kterými se potýkají (případně všech lidských problémů vůbec), vhodnější než jazyk, jímž nás obdařila příroda. Mnozí z nich si představovali, že filosofické problémy vznikají zčásti nebo zcela v důsledku toho, že přirozený jazyk není dostatečně přesným prostředkem vyjádření našich idejí a myšlenek - a že by se tedy vše spravilo, kdyby byl k dispozici jazyk, jehož výrazivo by bylo s našim myšlením - případně s naším světem (...) - v dokonalém souladu. Podle tohoto názoru je tím, co filosof (ale i vědec) potřebuje, jakási „abeceda lidských myšlenek“, která by nám umožnila „pomocí spojení jejích písmen a analýzy slov, která se z nich skládají, objevit a posoudit všechno ostatní“ (Leibniz) K tomu, aby se taková „abeceda“ dala vytvořit, ovšem zbývala jedna ‘maličkost’: bylo třeba posbírat a zinventarizovat všechny naše myšlenky a ideje, zjistit, pro které vyjádření nemáme, případně které vyjadřujeme nějak ‘nevhodně’, a tyto nedostatky a nesrovnalosti odstranit. Problém byl ovšem v tom, že nikdo neměl nejmenší ponětí, jak tohle udělat: a Leibnizův projekt calculu philosophicu, stejně tak jako jiné podobné nápady, zůstal navždy pouhou utopií. (shrink)

Logic is usually considered to be the study of logical consequence – of the most basic laws governing how a statement’s truth depends on the truth of other statements. Some of the pioneers of modern formal logic, notably Hilbert and Carnap, assumed that the only way to get hold of the relation of consequence was to reconstruct it as a relation of inference within a formal system built upon explicit inferential rules. Even Alfred Tarski in 1930 seemed to foresee no (...) kind of consequence other than one induced by a set of inference rules: "Let A be an arbitrary set of sentences of a particular discipline. With the help of certain operations, the so-called rules of inference, new sentences are derived from the set A, called the.. (shrink)

Kniha Tomáše Marvana přehledným způsobem rekapituluje filosofické diskuse, které se odehrávaly a odehrávají na půdě tzv. „postanalytické“ filosofie na téma realismus vs. relativismus; a je pokusem o jejich kritické zhodnocení. Jde o nesporně zajímavou a užitečnou knihu; v tomto textu však argumentuji, že realismus, z jehož pozic Marvan svou kritiku vede, není neproblematický. Zdá se mi, že Marvan zaměňuje prokázání nemožnosti vyvrátit realismus za prokázání relativismu; přičemž podle mne je tato nemožnost jenom důsledkem toho, že celá diskuse realismus vs. relativismus (...) je pochybená. (shrink)

The entire development of modern logic is characterized by various forms of confrontation of what has come to be called proof theory with what has earned the label of model theory. For a long time the widely accepted view was that while model theory captures directly what logical formalisms are about, proof theory is merely our technical means of getting some incomplete grip on this; but in recent decades the situation has altered. Not only did proof theory expand into new (...) realms, generalizing the concept of proof in various directions; many philosophers also realized that meaning may be seen as primarily consisting in certain rules rather than in language-world links. However, the possibility of construing meaning as an inferential role is often seen as essentially compromised by the limits of prooftheoretical means. The aim of this paper is to sort out the cluster of problems besetting logical inferentialism by disentangling and clarifying one of them, namely determining the power of various inferential frameworks as measured by that of explicitly semantic ones. (shrink)

Brandom’s inferentialism explains meaning in terms of inferential rules. As he insists that “the normative” is not reducible to “the natural,” inferentialism would seem an unlikely ally of naturalism. However, in this paper I suggest that Brandom’s theory of language harbors insights which can promote a naturalistic theory of meaning and language, and that a naturalistic version of Brandom’s inferentialism might have great potential. Also I sketch the lines along which such a theory could be built.

Logic is usually considered to be the study of logical consequence – of the most basic laws governing how a statement’s truth depends on the truth of other statements. Some of the pioneers of modern formal logic, notably Hilbert and Carnap, assumed that the only way to get hold of the relation of consequence was to reconstruct it as a relation of inference within a formal system built upon explicit inferential rules. Even Alfred Tarski in 1930 seemed to foresee no (...) kind of consequence other than one induced by a set of inference rules: "Let A be an arbitrary set of sentences of a particular discipline. With the help of certain operations, the so-called rules of inference , new sentences are derived from the set A , called the consequences of the set A . To establish these rules of inference, and with their help to define exactly the concept of consequence, is again a task of special metadisciplines; in the usual terminology of set theory the schema of such definition can be formulated as follows: The set of all consequences of the set A is the intersection of all sets which contain the set A and are closed under the given rules of inference." (p. 63) Thereby also the concept of truth came to be reconstructed as inferability from the empty set of premises. (More precisely, this holds only for non-empirical, necessary truth; but of course logic never set itself the task of studying empirical truth.) From this viewpoint, logic came to look as the enterprise of explication of consequence in terms of inference. (shrink)

Part of the philosophy of language of the 20th century is marked by a shift from the view of language as a tool of representing the world to its view as a means of interacting with the world. This shift is common to the later Wittgenstein, to pragmatists and neopragmatists including Brandom, and also to Chomsky and his school. The claim of the paper is that though the Chomskyans have offered an admirably elaborated theory of syntax adequate to the interactive (...) view of language, they failed to develop a comparably adequate notion of semantics; and that it is Brandom‘s approach which, though prima facie much more speculative and much less scientific, paves the way to a semantic theory which an ‘interactivist’ should endorse. (shrink)

Článok je pokusom o interpretáciu Platónovho dialógu Faidón vo svetle prvých Sókratových slov, ktoré v ňom zaznievajú. Sókratova krátka úvaha o vzťahu príjemného a nepríjemného je vzápätí vsadená do kontextu konfrontácie filozofického a básnického typu explanácie. Zaujímavé je, že Sókratov komentár k snu, ktorý ho kedysi vyzval k praktizovaniu múzického umenia, neprezentuje oba prístupy ako navzájom sa vylučujúce, ale skôr ako komplementárne. V tejto perspektíve je možné čítať Faidóna ako náčrt „vysokej“ filozofie oddelených ideí, a zároveň ako výzvu o jej (...) doplnenie „nižšou“ filozofiou zmesí. (shrink)