When asked in 1962 on what he was working Kazimierz Ajdukiewicz replied: Several years ago Polish Scientific Publishers suggested that I pre pare a new edition of The Logical Foundations of Teaching, which I wrote 1 before 1939 as a contribution to The Encyclopaedia of Education. It was a small booklet covering elementary information about logical semantics and scientific methodology, information which in my opinion was necessary as a foundation of teaching and as an element of the education of (...) any teacher. When I recently set to preparing the new edition, I rewrote practically everything, and a booklet of some 100 pages swelled into a bulky volume almost five times bigger. The issues have remained practically the same, but they are now analysed much more thoroughly and the threshold of difficulty is much higher now. The main stress has been laid on the methods used in the empirical sciences, and within that field, on the theory of measurement and the methods of statistical inference. I am now working on the last chapter of the book, concerned with explanation procedures and theory construction in the empirical sciences. When that book, which I intend to entitle Pragmatic Logic, is com pleted I intend to prepare for the press Vol. 2 of my minor writings, 2 Language and Cognition, which will cover some of my post-war pa pers. (shrink)

A set X⊆ℝ is strongly meager if for every measure zero set H, X+H ≠ℝ. Let [Formula: see text] denote the collection of strongly meager sets. We show that assuming [Formula: see text], [Formula: see text] is not an ideal.

Bartoszynski, T. and S. Shelah, Closed measure zero sets, Annals of Pure and Applied Logic 58 93–110. We study the relationship between the σ-ideal generated by closed measure zero sets and the ideals of null and meager sets. We show that the additivity of the ideal of closed measure zero sets is not bigger than covering for category. As a consequence we get that the additivity of the ideal of closed measure zero sets is equal to the additivity of (...) the ideal of meager sets. (shrink)

We construct a model of ZFC satisfying the Dual Borel Conjecture in which there is a set of size ℵ₁ that does not have measure zero.

We show that it is consistent with ZFC that the intersection of some family of less than ultrafilters have measure zero. This answers a question of D. Fremlin.

In this paper we present two consistency results concerning the existence of large strong measure zero and strongly meager sets. RID=""ID="" Mathematics Subject Classification (2000): 03e35 RID=""ID="" The first author was supported by Alexander von Humboldt Foundation and NSF grant DMS 95-05375. The second author was partially supported by Basic Research Fund, Israel Academy of Sciences, publication 658.

We will construct several models where there are no strongly meager sets of size 2ℵ0.

We show that it is consistent with MA + ¬CH that the Forcing Axiom fails for all forcing notions in the class of ωω–bounding forcing notions with norms of [17].

. ACT, CONTENT, AND OBJECT OF THE PRESENTATION It is one of the best known positions of psychology, hardly contested by anyone, that every mental phenomenon ...

We study the cardinal invariants of measure and category after adding one random real. In particular, we show that the number of measure zero subsets of the plane which are necessary to cover graphs of all continuous functions may be large while the covering for measure is small.

During the first semester of the academic year 1930/31 in the John Casimir University in Lvov Kazimierz Ajdukiewicz delivered a series of lectures on logical semantics. In eight of them, now published for the first time, he presents - in the very clear manner - his fractional method of identifying syntactic categories, and he shows how to use this method to eliminate the antynomies of classes, relations and properties. The Ajdukiewiczian method had been appreciated among logicians and it is (...) considered widely one of the starting points of so-called categorial grammars. (shrink)

This paper is an English translation of "Contemporary Philosophy on Immortality of the Soul" by Kazimierz Twardowski.

The article reviews the book Die Möglichkeit des Guten. Ethik im 21. Jahrhundert [The Possibility of the Good. Ethics in the 21st Century], by Wilhelm Vossenkuhl.

We prove that the cofinality of the smallest covering of R by meager sets is bigger than the additivity of measure.

We conclude the discussion of additivity, Baire number, uniformity, and covering for measure and category by constructing the remaining 5 models. Thus we complete the analysis of Cichon's diagram.

OPER ACCESS. The correspondence between Meinong and Kazimierz Twardowski highlights the relationship between two philosophers who influenced the history of philosophy and psychology in Austria and Poland. The two correspondents discuss, among other things, their epistemological approach and the university politics of their times. In addition, there is an extensive introduction that places the correspondence in its proper historical and philosophical context.

A simple, journalist scheme indicates that knowledge qualif‌ied to be scientif‌ic directly and fundamentally changes – thanks to its technological applications – the social world. The author presents arguments indicating that things are not that simple for several reasons.Firstly, historians of science argue that many fundamental technologies were created without a clear reference to scientif‌ic knowledge, and the knowledge accumulated by technologists often arises outside the areas of scientific theory. Secondly, we also know that what is technically possible is not (...) necessarily socially possible – not least because of costs, cultural constraints or social practices that we are not willing to give up. Thirdly, it is increasingly clear that the increase in scientif‌ic knowledge is primarily the result of the decision to allocate more and more resources to applied research. This means, however, that the pursuit of knowledge results not so much from the pressure to seek scientif‌ic truth, but from the values that we consider important. Fourthly, this leads to a reorientation in science, which allows contesting the thesis about the objectivity of scientif‌ic cognition in various ways: due to methodological disputes conducted by philosophers of science, the so‑called ‘scientif‌ic method’ does not guarantee the objectivity of scientif‌ic cognition. Consequently, the Enlightenment vision of science, which collapsed under the pressure of post-modernism, ceases to be the basic frame of reference on which we try to improve our collective life. We need this frame only when we cannot imagine this life without appealing to authorities that allow the resolution of essentially undecidable disputes. (shrink)

The story of Abraham and Isaac belongs to the plots frequently recurring in the school drama of sixteenth century Europe. Two related texts are related in the article: Theodore de Bčze’s drama with the title Abraham sacrificanl (staged in Lausanne in 1550) and an anonymous Polish text dating from the end of the sixteenth century Ofiarowanie Izaaka [The Sacrifice of Isaac]. Both the dramas begin with the Prologue, heralding the main events of the story. The works share a three-part, biblical (...) structure (Ofiarowanie Izaaka is composed of three acts), the motif of a father’s love for his son, Abraham’s and Sarah’s care for their son, Abraham’s perplexity and finally the ending, where an angel, a pre-figuration of Christ, appears. The main differences lie in the way in which the protagonists have been grouped - the amusing characters of, among others, Achne, the servant, enrich the play with comical, realistic elements. The similarities between the two texts result not only from their chronology, the common repertoire of school theatres, and the cosmopolitan character of school education. The congruence (despite some apparent differences between the staging possibilities of Lausanne and Cracow) confirms a close relationship between Polish Renaissance drama and the culture of Western Europe and emphasizes its creative character in the presentation of Biblical plots, extending beyond the Bible. (shrink)

Ziel des vorliegenden Aufsatzes ist es, die Existenz von eventuellen Berührungspunkten zwischen Wittgenstein und Ingarden nachzuweisen. Nach einer kurzen Einführung wird anfangs der Hintergrund der Analyse des Problems formuliert. Darauf hin werden die Positionen Wittgensteins Ontologie mit wenigen Begriffen und Ingardens dreistufige Ontologie jeweils skizzenhaft dargestellt und kritisch auf das Vorhandensein von gemeinsamen Grundlinien geprüft. Als Gesichtspunkte gelten dabei folgende Begriffe: Ontologie, Welt und Mensch, Sprache und Ästhetik. Abschließend werden die charakteristischen Merkmale von Berührungspunkten genannt.