We present how the theory of reasoning developed by Tadeusz Czeżowski, a Polish logician and a member of the Lvov-Warsaw School (LWS) can be applied to the mediaeval texts which interpret the Bible, which we collectively call as Biblical exegesis (BE). In the first part of the paper, we characterise Czeżowski's theory of reasoning with some modifications based on remarks of Kazimierz Ajdukiewicz. On these grounds, we discuss the nature of reasoning and its different types, as well as the problem (...) of textual representation of reasoning. In the second part, we describe the analytical nature of some BE at the end of twelfth century and in the thirteenth century by referring to the examples of Stephen Langton, Robert Grosseteste, Bonaventure, Albert the Great and Thomas Aquinas. We argue that they represented an analytical approach in BE, characterised by advanced use of logic and specific methods, including reasoning reconstruction and logical analysis. In the third part, we present selected examples to show how Czeżowski's framework helps in identifying various types of reasoning. We indicate some universal problems with the textual representation of reasoning found in the BE of the authors in question. Lastly, we point out how Czeżowski's framework enables the understanding of phenomena such as ‘Special Biblical Inference’. Thanks to this experiment, we can see how a framework as advanced as that offered by LWS representatives can be put to the test using mediaeval Biblical commentaries, yielding interesting results. (shrink)

Ajdukiewicz’s account of mathematical theories is presented and analyzed. Theories consist of primary and secondary theorems. Theories go through three phases or stages: preaxiomatic and intuitive, axiomatic but intuitive, axiomatic and abstract, whereas the final stage takes two forms: definitional and formal. Each stage is analyzed. The role of the concepts of truth, evidence, consequence, and existence is examined. It is claimed that the second stage is apparent or transitory, whereas the initial and final stages are vital and constitute two (...) salient attitudes to mathematics, focused on truth or consequence respectively. It is also claimed they are attitudes rather than stages, and the crucial difference between them concerns effectiveness. The chief question of philosophy of mathematics turns out to be to determine whether mathematical theories are assertive or hypothetical. (shrink)

The aim of this paper is to describe the history of logical investigations at the University of Poznań. The organisational structures within the discipline as well as the outstanding logicians and their achievements are presented. Connections with the Lviv–Warsaw School are indicated.

The issue of the justification of the laws of logic has been under discussion since the end of the nineteenth century. However, in many works devoted to this problem Ajdukiewicz’s achievements are left unmentioned. It can be shown that in certain periods of the development of his views, he tried to present various attempts at solving the problem of the justification of the laws of logic.

In this paper, we will explore two initiatives that focus on the importance of employing logical theories in educating people how to think and reason properly, one in Poland: The Lvov-Warsaw School; the other in North America: The Informal Logic Initiative. These two movements differ in the logical means and skills that they focus on. However, we believe that they share a common purpose: to educate students in logic and reasoning (logical education conceived as a process) so that they may (...) be able to apply their skills to analyze the issues in their society (logical culture as a result of logical education). The aim of the paper is to justify this claim by exploring research objectives and products that are common to both movements. (shrink)

O czterech typach argumentacji na rzecz logiki klasycznej Moim celem w tym artykule jest analiza argumentacji pod kątem poprawności standardowej logiki. Formułuję też kilka uwag krytycznych i porównawczych. Skupiam się na czterech najbardziej spójnych i kompletnych argumentach, które próbują uzasadnić wyróżnione stanowisko logiki klasycznej. Istnieją następujące argumenty: argumentacja pragmatyczno-metodologiczna Willarda van O. Quine’a, argumentacja filozoficzno-metalogiczna Jana Woleńskiego, argumentacja ontologiczno-semantyczna Stanisława Kiczuka, argumentacja metalogiczna. Moim zdaniem teza o poprawności logiki klasycznej jest racjonalnie uzasadniona tymi argumentacjami. Pozostaje problem, czy analizowana logika standardowa (...) jest jedyną właściwą logiką. (shrink)

The paper provides an analysis of two traditionally accepted distinctions between nominal and real definitions. The historical background is Kazimierz Ajdukiewicz’s conceptions of definitions as well as remarks by other members of the Lvov-Warsaw School of philosophy. The aim of the paper is to show that the analysed distinction, at least in Ajdukiewicz’s version, cannot be sustained.

Zajęcia prowadzone przez Profesora Pelca niewątpliwie wpisywały się w tak szeroko zarysowaną koncepcję logiki ogólnej. Starał się on być nauczycielem myślenia i dobrej roboty – nie tylko w filozofii, lecz w humanistyce i cel ten osiągał, nie tylko poprzez dobór tematów, wysokie wymagania, różnorodne sposoby sprawdzania wiedzy słuchaczy, lecz także – przez przykład. Wielu rzeczy nie przekazywał przez wykład czy lektury, lecz bezpośrednio kierując wysił- kami podopiecznych – zwłaszcza tymi związanymi z przygotowaniem obligatoryjnych prac rocznych. Pouczający był sam proces – (...) konsultowanie kolejnych etapów prac nad esejem – ale także oczekiwania, np. że praca będzie opatrzona abstraktem i słowami kluczowymi w jednym z języków kongresowych. Profesor Pelc dał się poznać i pozostaje w pamięci jako wybitny naukowiec, twórca współczesnej semiotyki polskiej, organizator i dydaktyk. W tym artykule starałem się pokazać, że zwłaszcza ta ostatnia rola stawia go w jednym rzędzie z przedstawicielami SLW, gdyż wspólna im była troska o wykształcenie kultury logicznej słuchaczy, wierność postulatom jasności i krytycyzmu, preferencja dla logiki w szerokim sensie nieograniczającej się jedynie do logiki formalnej, lecz dziedziny prawdziwie interdyscyplinarnej, obejmującej m.in. elementy epistemologii, psychologii, prakseologii – i pełniącej rolę współczesnego trivium. Na koniec chciałbym wyrazić głębokie przekonanie, że koncepcja logiki ogólnej – szkolnej, pedagogicznej, pragmatycznej – zasługuje, by odkryć ją na nowo, zrekonstruować ją i spisać jej historię, a co ważniejsze – by twórczo ją rozwijać. (shrink)

In the paper, I have presented a portrait of Jerzy Pelc as a teacher. He followed in the footsteps of Kazimierz Twardowski and his direct disciples and tried to develop his students’ skills of critical thinking and clear speaking—the basics of good work in philosophy. These skills are connected with methodological postulates of criticism and precision which were shared by all the members of the Lvov-Warsaw School. Jerzy Pelc treated these postulates also as didactic postulates arising out of the conceptions (...) of logical culture and general logic. In my article, I have sketched a general picture of the relation between logic and didactics, I have presented the aforementioned postulates, the concepts of logical culture and general logic and its curriculum. (shrink)

I characterize the deductivist ideal of justification and, following to a great extent Toulmin’s work The Uses of Argument, I try to explain why this ideal is erroneous. Then I offer an alternative model of justification capable of making our claims to knowledge about substantial matters sound and reasonable. This model of justification will be based on a conception of justification as the result of good argumentation, and on a model of argumentation which is a pragmatic linguistic reconstruction of Toulmin’s (...) model of argument. (shrink)