Jacek Urbaniec: Platonism in the philosophy of mathematics does not necessarily imply that there are links between the temporal physical world and the eternal world of mathematics..

The purpose of the paper is to rethink the role of actuality in the branching model of possibilities. We investigate the idea that the model should be enriched with an additional factor—the so-called Thin Red Line—which is supposed to represent the single possible course of events that gets actualized in time. We believe that this idea was often misconceived which prompted some unfortunate reactions. On the one hand, it suggested problematic semantic models of future tense and and on the other, (...) it provoked questionable lines of criticism. We reassess the debate and point to potential pitfalls, focusing on the semantic dimension of the Thin Red Line theory. Our agenda transcends the semantics, however. We conclude that semantic considerations do not threaten the Thin Red Line theory and that the proper debate should be carried in the domain of metaphysics. (shrink)

In this article we consider linear isomorphisms over the field of rational numbers between the linear spaces ℝ2 and ℝ. We prove that if f is such an isomorphism, then the image by f of the unit disk is a strictly nonmeasurable subset of the real line, which has different properties than classical non-measurable subsets of reals. We shall also consider the question whether all images of bounded measurable subsets of the plane via a such mapping are non-measurable.

An increasing number of drugs removed from the market because of unacceptable toxicity raises concerns regarding preapproval testing of drug safety. In the present paper it is postulated that the non-inferiority type of trial should be abandoned in favor of the superiority trial with active controls and less stringent (p<0.1, both for efficacy and toxicity) statistics. This approach will increase sensitivity of detection of drug-induced adverse effects at the expense of increasing false positive results regarding the difference in efficacy between (...) the tested and reference drug. Such a move will increase the protection of future patients. In addition, the proposed design is far more acceptable from the clinical (e.g. no need to specify the statistically expected “unimportant” number of deaths) and ethical points of view, as well as being favored by the strong incentive of involved parties. In the second part of this paper arguments are presented in favor of the hypothesis that placebo (still used in some superiority trials) does not induce adverse effects. The assertion that placebo may induce adverse effects is probably biased by the nature of the clinical experiment. Such a conclusion is supported by studies indicating that placebo-induced adverse effects are disease — and treatment — specific. The modification of clinical trials according to the proposed changes may increase the trials’ sensitivity at detecting adverse effects of drugs. (shrink)

In 1968 the authors of the so-called Harvard Report, proposed the recognition of an irreversible coma as a new criterion for death. The proposal was accepted by the medical, legal, religious and political circles in spite of the lack of any explanation why the irreversible coma combined with the absence of brainstem reflexes, including the respiratory reflex might be equated to death. Such an explanation was formulated in the President’s Commission Report published in 1981. This document stated, that the brain (...) is the central integrator of the body, therefore the destruction of the brain results in the lack of that integration and the death of the organism. Therefore, according to that document, the so-called “brain dead” patients are really, biologically dead; strictly speaking they are not any more biological organisms but collections of organs and tissues. Their death was masked by the use of the medical equipment, but it was a real, biological death. Thus, the explanation given by the President’s Commission Report constituted a biological rationale for the new concept of death, known as “brain death.” However, after the long discussion, this rationale was refuted because of the evidence given by many medical authorities, that the bodies of the “brain dead” and “brainstem dead” patients are alive. In the context of the discussion about the neurological criteria for death, some authors follow the idea of Plato, that human being is the soul or mind, and the body does not belong to the human essence. Therefore, the loss of consciousness, which may be identified with the mind, constitutes the loss of personhood and may be interpreted as human death. The other group stresses the Aristotelian and Thomistic concept that the body belongs to the essence of every living creature, including human. Therefore, as long as the body is alive, the human being is alive and we cannot call the given patient dead even if he is deeply comatose. Moreover, in spite of the opinions dominating in the mass-media, these patients should be considered not only alive but also may be conscious to some degree and their state can be reversible. Their brains are lacking the electrical functions, but the neuronal tissue is alive and that state is reversible for at least first 48 hours since the onset of coma; this phenomenon is called “global ischemic penumbra” and is responsible for the regularly happening events interpreted as miracles, when some of the “brain dead” or “brainstem dead” patients turn to be alive and come back to normal life. Therefore, the neurological criteria of death are still lacking generally accepted scientific basis and should not be used in medicine and in the legal systems as a basis for diagnosing comatose/having no brainstem reflexes/apneic patients dead. (shrink)

We present the results of research carried out as a part of the project “Current Controversies about Human Origins: Between Anthropology and the Bible”, which focused on the supposed conflict between natural sciences and some branches of the humanities, notably philosophy and theology, with regard to human origins. One way to tackle the issue was to distribute a questionnaire among students and teachers of the relevant disciplines. Teachers of religion and the natural sciences (biology, chemistry, and physics) and students of (...) theology, philosophy, and the natural sciences (specializing in biology and/or anthropology) were asked to answer eleven questions concerning the perception of the conflict between evolutionism and creationism, the definitions of creation and evolution, the existence of a human spiritual element, and the ways of interpreting the Bible, especially the first chapters of the book of Genesis. In the paper we present and analyze selected results of this questionnaire. Among interesting findings there are the following: 1) the opinion concerning the relationship between evolutionism and creationism largely depends on the respondent’s general attitude toward religion, and not on their field of study or teaching expertise, which runs contrary to the received view attributing the opinion of the conflict between science and religion to people’s educational or professional background; 2) The conflict is far more pronounced in the group of nonbelievers. This distinguishes Poland from other countries, notably the United States, where the majority of people with strong religious beliefs seem to maintain that there is a conflict between the natural sciences and religion; 3) literal understanding of the Bible was rejected by vast majority of the respondents, including those who insist on the ‘conflict view’, which seems to make the situation in Poland again quite different from that in some other countries; 4) Unsophisticated understanding of creation positively correlates with the ‘conflicting view’ on the one hand, while, on the other, erroneous understanding of the basics of the theory of evolution appears to have its bearing on too optimistic vision of certain coherence between religion and science. We suggest some hypotheses to explain these and other results of the questionnaire. (shrink)

The crux of the dispute on the mutual relations between attention and consciousness, and to which I have referred in this paper, lies in the question of what can be attended in spatial attention that obviously resonates with the phenomenological issue of intentionality. The discussion has been initiated by Christopher Mole. He began by calling for a commonsense psychology, according to which one is conscious of everything that one pays attention to, but one does not pay attention to all the (...) things that one is conscious of. In other words, attention is supposed to be a condition which is sufficient but not necessary for consciousness, i.e., consciousness is a necessary concomitant of attention, but attention is not a necessary concomitant of consciousness. Mole seeks to validate his stance with data from psychology labs. His view is, however, partly confronted, for instance, by Robert Kentridge, Lee de-Wit and Charles Heywood, who used their experimental research on a neurological condition called blindsight as evidence of a dissociation between attention and consciousness, i.e., that visual attention is not a sufficient precondition for visual awareness. In this meta-theoretical state of affairs, I would like to focus on the cognitive phenomenon most often referred to as Inhibition of Return and suggest that, following its micro dynamics from the perspective of micro-phenomenology, it can be used to actually showcase all of the options on both sides of the argument. One of my leading goals would be also to follow Mole’s attempt to link attention with agency but where we differ is that I wish to heuristically articulate the matter in terms of Merleau-Ponty’s phenomenological notion of embodied pre-reflective intentionality. (shrink)

This paper is a study of similarities and differences between strong and weak quantum consequence operations determined by a given class of ortholattices. We prove that the only strong orthologics which admits the deduction theorem (the only strong orthologics with algebraic semantics, the only equivalential strong orthologics, respectively) is the classical logic.

In this paper we investigate some basic semantic and syntactic conditions characterizing the equivalence connective. In particular we define three basic classes of algebras: the class of weak equivalential algebras, the class of equivalential algebras and the class of regular equivalential algebras.Weak equivalential algebras can be used to study purely equivalential fragments of relevant logics and strict equivalential fragments of some modal logics. Equivalential algebras are suitable to study purely equivalential fragment of BCI and BCK logic. A subclass of the (...) class of regular equivalential algebras is suitable to study equivalential fragments of ukasiewicz logics. Some subvarieties of the class of regular equivalential algebras provide natural semantics for equivalential fragments of the intuitionistic prepositional logic and various intermediate logics. (shrink)

The first part of the paper is a reminder of fundamental results connected with the adequacy problem for sentential logics with respect to matrix semantics. One of the main notions associated with the problem, namely that of the degree of complexity of a sentential logic, is elucidated by a couple of examples in the second part of the paper. E.g., it is shown that the minimal logic of Johansson and some of its extensions have degree of complexity 2. This is (...) the first example of an exact estimation of the degree of natural complex logics, i.e. logics whose deducibility relation cannot be represented by a single matrix. The remaining examples of complex logics are more artificial, having been constructed for the purpose of checking some theoretical possibilities. (shrink)

In the article, I present changes that analytic philosophy of mind underwent throughout the twentieth century, as well as consequences these transformations have for the latest debates. I argue that over the past century, the analytical movement abandoned its anti-metaphysical stance and accepted materialism that supposed to respect main assumptions of the early program of analysis. However, by the end of the last century, materialism found itself in a crisis, and attempts to resolve it led to significant changes in the (...) field of the latest philosophical investigations about the mind. Observing current trends allows for making conjectures about the shape of analytic philosophy of mind in the coming decades. (shrink)

In this paper we present a characterization of hyper-connexivity by means of a relating semantics for Boolean connexive logics. We also show that the minimal Boolean connexive logic is Abelardian, strongly consistent, Kapsner strong and antiparadox. We give an example showing that the minimal Boolean connexive logic is not simplificative. This shows that the minimal Boolean connexive logic is not totally connexive.

The author presents Leszek Kołakowski from the perspective of his private acquaintanceship, lasting for about 47 years, as a witty man and a workaholic. L. Kołakowski never formed a classic “school”, but there is something all his disciples share: a thesis, key to understanding his ideas, which holds that “THERE IS MORE THAN ONE CORRECT OPINION IN THE HUMANITIES”, i.e. we will ALWAYS have opinions for and against, which goes against any dogmatism, wherever it may appear; this also bears consequences (...) in diagnosing the socio-political reality past and present. (shrink)

Education is increasingly coming under the shadow of economics. In this article we engage in ideology critique by applying a critical realist analysis to conventional economic models and the teaching of students. Through a historical and philosophical interrogation, we argue that the current curriculum suffers from a diminutive understanding of human being. We argue that economics education has for a long time now worked with a highly abstracted and decontextualized idea of human being that has absented other dimensions of human (...) concerns. We examine the current English Advanced level economic curriculum and the revised curriculum which will be taught from September 2015. Using an understanding of the dynamics of structure and agency and that economics operates in open systems, we argue for retroduction as an appropriate methodology. (shrink)

There is considerable discussion in contemporary philosophical inquiry concerning the problematics of personalism. Among these inquiries is the book of Wojciech Słomski, a professor of philosophy at the Higher Institute of Psychotherapy and Rehabilitation in Warsaw, entitled The Personalist Vision of Freedom: Examining Emmanuel Mounier's Concept of Personal Freedom. This is the second edition of the book which once appeared under the title Personal Freedom According to Emmanuel Mounier in 1996. The new additions are the first chapter, in which the (...) author introduces E. Mounier as a man and philosopher, as well as chapter five, which deals with the role and significance of freedom. This is rounded off by the remaining chapters. The book, therefore, is composed of six chapters and the bibliography. (shrink)

NADZIEJA SKOWANA NIEPEWNOŚCIĄ WOKÓŁ MYŚLI LWA SZESTOWA W artykule, odwołując się do egzystencjalnych przemyśleń Lwa Szestowa nad ludzkim losem, Bogiem i przeznaczeniem świata, nie zapominając o rosyjskiej duszy filozofa, starano się uwyraźnić problem ludzkiej nadziei. Nadziei, która odnajdywana jest w prawdach opartych na sprzecznościach. Nie są to bowiem abstrakcyjne, wypolerowane prawdy rozumu, lecz prawdy egzystencjalne, rządzące się szczególnymi prawidłami. Mianowicie takimi, które spoczywają poza obszarem pewności naszej egzystencji. W tym sensie oczywiste jest, iż myśliciel żąda od filozofii rzeczy niemożliwej, by (...) językiem nauki orzekała o tym, co filozofią nie jest. Szestow zostaje więc oceniony jako ten, który „myśli poza logiką i filozofią”, co sytuuje go w realnej opozycji do cechu akademickich filozofów. Dla nich to, jako zdeklarowanych racjonalistów, Szestowowskie „myślenie poza myśleniem” oznaczało brak pewności i zagubienie. Paradoksalnie właśnie tam, w „chaosie” braku spekulatywnych rozwiązań, w przerażającej egzystencji Hioba i jemu podobnych, Szestow odnajduje drogę nadziei na odnalezienie prawdy wiecznej, prowadzącej do wrót zbawienia. Słowa kluczowe: Nadzieja, niepewność, tajemnica, paradoks, prawda, filozofia, poznanie, system, egzystencja, Bóg, racjonalizm, irracjonalizm, możliwe, niemożliwe, metafizyka, idealizm, materializm. (shrink)

Rok 2021 został w Polsce ogłoszony rokiem Stanisława Lema z powodu przypadającej setnej rocznicy jego urodzin. Jest to dobra okazja do pewnych podsumowań. Artykuł jest próbą zarysowania niektórych aspektów filozoficznych występujących w prozie fantastycznonaukowej Lema. Przede wszystkim problematyka epistemologiczna odnajduje w twórczości autoraNiezwyciężonego swoje interesujące rozwinięcie. Ujęcie tematyki międzycywilizacyjnego kontaktu w takich książkach jak Eden czy Solaris uznawane jest za oryginalny wkład Lema w ideowy dorobek światowej literatury science fiction. Z kolei problematyka ontologiczna łączy się u Lema ze specyficznie pojmowaną (...) „filozofią przypadku”, której genealogii można poszukiwać w meandrach życiorysu pisarza. Świat w jego powieściach (Śledztwo, Katar) działa według zasad indeterminizmu, które odnajdują swoje potwierdzenie we współczesnych koncepcjach filozoficznych i socjologicznych. (shrink)

This is a summary of the recent research related to the issue of future contingents. It focuses on the aspects that were largely neglected in the traditional debate, such as relativism, pragmatics of assertion, probability, epistemology, and metaphysics.

We prove that no logic (i.e. consequence operation) determined by any class of orthomodular lattices admits the deduction theorem (Theorem 2.7). We extend those results to some broader class of logics determined by ortholattices (Corollary 2.6).

Celem poniższych analiz jest eksplikacja, ujednoznacznienie i przystępne wyłożenie znaczenia pojęcia sprawiedliwość, występującego w pismach Emmanuela Levinasa. Cel to o tyle ważny, że pojęcie to – jak mam nadzieję wykazać – jest jednym z kluczowych pojęć spajających konstrukcję myślową filozofii Levinasa, a sam Levinas – jak z przekonaniem sądzę – jest jednym z ważniejszych myślicieli XX stulecia; nie wspominając już o wadze teoretycznej i politycznej samego tego pojęcia w perspektywie uniwersalnej.

Let J be any proper ideal of subsets of the real line R which contains all finite subsets of R. We define an ideal J * ∣B as follows: X ∈ J * ∣B if there exists a Borel set $B \subset R \times R$ such that $X \subset B$ and for any x ∈ R we have $\{y \in R: \langle x,y\rangle \in B\} \in \mathscr{J}$ . We show that there exists a family $\mathscr{A} \subset \mathscr{J}^\ast\mid\mathscr{B}$ of power ω (...) 1 such that $\bigcup\mathscr{A} \not\in \mathscr{J}^\ast\mid\mathscr{B}$ . In the last section we investigate properties of ideals of Lebesgue measure zero sets and meager sets in Cohen extensions of models of set theory. (shrink)

This book is dedicated to the life and work of logician Janusz Czelakowski on the topic of logical consequence. It consists of three parts – a biography, a survey and research sections. The volume begins with an autobiographic chapter by Janusz Czelakowski followed by a historical chapter written by Jacek Malinowski. The survey section forms the backbone of the volume with each chapter covering one of Janusz Czelakowski’s results. They focus on his results in the area of logical consequence, (...) demonstrate how his results influenced following research, and presents potential future results, problems and applications. This volume is of interest to logicians and mathematicians. (shrink)

Recently I defended a hybrid view of persistence whereby simple objects endure while composite objects are stage related. I argued that it deserves further investigation given the explanatory work it does with regard to two problems raised in the literature on the metaphysics of the persistence of objects. In this paper I look at two further problems that have been raised—one from natural explanation, the other from time travel. I show how the hybrid view is able to deal with these (...) problems. In doing so I further build the case that the hybrid view is a serious contender in the persistence debate based on the explanatory work it can do. (shrink)

The kernel of this volume is an English translation of Jan Łukasiewicz’s classic work on the concept of cause (1906). It is the starting point for analytical considerations on causality of two generations of philosophers belonging to the tradition of the Lvov-Warsaw School.