Artykuł stanowi krytyczne omówienie książki Kevina Duttona zatytułowanej Mądrość psychopatów. Lekcja życia pobrana od świętych, szpiegów i seryjnych morderców. Celem pracy jest przybliżenie zasadniczych tez stawianych przez autora oraz zaproszenie do namysłu nad psychopatią – zarówno jako fenomenem naukowym, jak i egzystencjalnym.

In this paper two concepts of psychologism in logic are outlined: the one which Frege and Husserl fought against and the new psychologism, or cognitivism, which underlies a cognitive turn in contemporary logic. Four issues such cognitively oriented logic should be interested in are indicated. They concern: new fields opened for logical analysis, new methods and tools needed to address these fields, neural basis of logical reasoning, and an educational problem: how to teach such logic? Several challenging questions, which arise (...) in the context of these issues, are listed. (shrink)

In his 1887's Mitteilungen zur Lehre von Transfiniten, Cantor seeks to prove inconsistency of infinitesimals. We provide a detailed analysis of his argument from both historical and mathematical perspective. We show that while his historical analysis are questionable, the mathematical part of the argument is false.

Foundations of Science recently published a rebuttal to a portion of our essay it published 2 years ago. The author, G. Schubring, argues that our 2013 text treated unfairly his 2005 book, Conflicts between generalization, rigor, and intuition. He further argues that our attempt to show that Cauchy is part of a long infinitesimalist tradition confuses text with context and thereby misunderstands the significance of Cauchy’s use of infinitesimals. Here we defend our original analysis of various misconceptions and misinterpretations concerning (...) the history of infinitesimals and, in particular, the role of infinitesimals in Cauchy’s mathematics. We show that Schubring misinterprets Proclus, Leibniz, and Klein on non-Archimedean issues, ignores the Jesuit context of Moigno’s flawed critique of infinitesimals, and misrepresents, to the point of caricature, the pioneering Cauchy scholarship of D. Laugwitz. (shrink)

Abraham Robinson’s framework for modern infinitesimals was developed half a century ago. It enables a re-evaluation of the procedures of the pioneers of mathematical analysis. Their procedures have been often viewed through the lens of the success of the Weierstrassian foundations. We propose a view without passing through the lens, by means of proxies for such procedures in the modern theory of infinitesimals. The real accomplishments of calculus and analysis had been based primarily on the elaboration of novel techniques for (...) solving problems rather than a quest for ultimate foundations. It may be hopeless to interpret historical foundations in terms of a punctiform continuum, but arguably it is possible to interpret historical techniques and procedures in terms of modern ones. Our proposed formalisations do not mean that Fermat, Gregory, Leibniz, Euler, and Cauchy were pre-Robinsonians, but rather indicate that Robinson’s framework is more helpful in understanding their procedures than a Weierstrassian framework. (shrink)

It is proved that the following conditions are equivalent: (a) there exists a complete, atomless, σ-centered Boolean algebra, which does not contain any regular, atomless, countable subalgebra, (b) there exists a nowhere dense ultrafilter on ω. Therefore, the existence of such algebras is undecidable in ZFC. In "forcing language" condition (a) says that there exists a non-trivial σ-centered forcing not adding Cohen reals.

In theology there has never been any doubt that God can cause things to happen, but there has been a great deal of controversy about the precise nature of God’s causal activity in nature. The theory of divine concurrentism (both God, as primary cause, and creatures, as secondary causes, are engaged in causal processes), fostering the middle way between the anti-providential notion of natural causation and occasionalism (which attributes all causation to God), was questioned in the era of modern science (...) and philosophy. The restriction of divine action to the moment of the first creation in deism led to the agnostic and atheistic rejection of God as an ‘unnecessary hypothesis.’ Most theological responses to this crisis followed the restriction of causality to efficient causes, showing an implicit tendency to speak about the causation of God and creatures in univocal terms and trying to define the ‘causal joint’ between God and nature. A philosophical analysis of evolutionary biology, emergence, big bang cosmology, chaos theory, and quantum mechanics, however, has recently brought a retrieval of a broader understanding of causation, triggering a renewed interest in divine action. The topic of causality has raised interest among analytical philosophers as well. Those following the metaphysics of dispositions and manifestations acknowledge the neo-Aristotelian flavor of their analyses, which becomes, in turn, an incentive for a revival of the classical version of divine concurrentism. (shrink)

The current strategy of searching for an effective treatment for COVID-19 relies mainly on repurposing existing therapies developed to target other diseases. Conflicting results have emerged in regard to the efficacy of several tested compounds but later results were negative. The number of conducted and ongoing trials and the urgent need for a treatment pose the risk that false-positive results will be incorrectly interpreted as evidence for treatments’ efficacy and a ground for drug approval. Our purpose is twofold. First, we (...) show that the number of drug-repurposing trials can explain the false-positive results. Second, we assess the evidence for treatments’ efficacy from the perspective of evidential pluralism and argue that considering mechanistic evidence is particularly needed in cases when the evidence from clinical trials is conflicting or of low quality. Our analysis is an application of the program of Evidence Based Medicine Plus to the drug repurposing trials for COVID. Our study shows that if decision-makers applied EBM+, authorizing the use of ineffective treatments would be less likely. We analyze the example of trials assessing the efficacy of hydroxychloroquine as a treatment for COVID-19 and mechanistic evidence in favor of and against its therapeutic power to draw a lesson for decision-makers and drug agencies on how excessive hypothesis testing can lead to spurious findings and how studying negative mechanistic evidence can be helpful in discriminating genuine from spurious results. (shrink)

Making more accurate marketing decisions by managers requires building effective predictive models. Typically, these models specify the probability of customer belonging to a particular category, group or segment. The analytical CRM categories refer to customers interested in starting cooperation with the company, customers who purchase additional products or customers intending to resign from the cooperation. During building predictive models researchers use analytical tools from various disciplines with an emphasis on their best performance. This article attempts to build a hybrid predictive (...) model combining decision trees and cluster analysis. During experiments five different cluster validity indices and eight datasets were used. The performance of models was evaluated by using popular measures such as: accuracy, precision, recall, G-mean, F-measure and lift in the first and in the second decile. The authors tried to find a connection between the number of clusters and models' quality. (shrink)

Locke’s theory of property is irreconcilable with intellectual property. Property-like titles in ideal objects cannot be introduced within the framework of the natural law, because they could constrain others from acts necessary for their survival. Nevertheless, followers of Locke’s theory of politics choose to belittle this conclusion and even Locke himself supported early copyright legislation. The inconsistency is important, for it depicts the problem of legitimization of intellectual property as political and demonstrates liberal reification of various aspects of social life.

All through the XXth century it has been repeated that "there is an exact correspondence, almost coincidence between Euclid's definition of equal ratios and the modern theory of irrational numbers due to Dedekind". Since the idea was presented as early as in 1908 in Thomas Heath's translation of Euclid's Elements as a comment to Book V, def. 5, we call it in the paper Heath's thesis. Heath's thesis finds different justifications so it is accepted yet in different versions. In the (...) paper its historical and mathematical version is reconstructed. We next reconstruct Eudoxos' theory of proportions in an axiomatic fashion. Finally, we show that Heath's thesis both in the historical and mathematical version is false. To this end a counterexample is given; it is based upon a specific interpretation of the uniform distribution theorem. (shrink)

In this paper we show that the field of the real numbers is an intentional object in the sense specified by Roman Ingarden in his Das literarische Kunstwer and Der Streit um die Existenz der Welt. An ontological characteristics of a classic example of an intentional object, i.e. a literary character, is developed. There are three principal elements of such an object: the author, the text and the entity in which the literary character forms the content. In the case of (...) the real numbers the triad consists of Richard Dedekind, his work Steitigkeit und irratinale Zahlen, and the intentional object determined by this work. Showing that we are indeed faced with the inten-tional object we analyse three moments: two-sidedness of the formal structure of the intentional object, the moment of its existentional derivation, and schematism of the intentional object. Since there are many constructions of the real numbers known in mathematics, we show what relation obtains between Dedekind's and Cantor's constructions of the real numbers as these are taken as intentional objects. Moreover, we show what relation obtains between Dedekind's construction and the axiomatic characteristics of the real numbers. (shrink)

The wound inflicted by the clerical sexual abuse scandal and its cover-up runs so deep that it is sometimes deemed impossible to talk about the church at the beginning of the twenty-first century in a credible way without making at least some reference to this problem. This opinion is seemingly partially shared by current and previous pontiffs, who, on many occasions and in various contexts, have touched upon this issue. In the many interventions in which Benedict XVI and Francis have (...) raised this sad topic, they have apologised on behalf of the leaders of the church for the cases of abuse and for the following cover-up. They have offered words of regret and consolation to victims, their families, the entire church and the world, and have promised to do everything possible to prevent it from happening again. Further, they have attempted to identify the causes of the problem to understand how it could have taken place and the actions required to prevent this tragedy from recurring. Their analyses bear signs of similarities and dissimilarities. The purpose of this article is to ask what the church in Australia, and the church in general, can learn from the two popes' approaches to this problem, not only with regard to handling possible future cases of abuse, but also with regard to the general ways of existing as a church in the twenty-first century. Behind Francis's and Benedict's conclusions lie their own theologies of the church, which are worth exploring since they contain important lessons and signposts for the church at the beginning of the third millennium. (shrink)

The idea of the university was never a significant context for researchers of Franz Kafka work. It was the other social institutions that became the natural source of allusive recognition of literary scholars. In this sketch – written on the margins of Kafka’s famous short story: Report for the Academy – we are trying to change it. The university here becomes a “central object of criticism”, an institution in ruins, a place where one does not practice research and does not (...) perfect humanistic virtues. On the contrary, it is a space where the “gate of perception” and „critical thinking” are consistently closed – as a tribute to the particular game of interests. In the worst case – the effect of the Academy’s impact becomes destruction resulting from training and humiliation. (shrink)

W odpowiedzi na tekst Michała Chaberka, będący polemiką z moim stanowiskiem w kwestii teistycznego ewolucjonizmu, zwracam uwagę na kilka kluczowych zagadnień dotyczących filozofii i teologii arystotelesowsko-tomistycznej w kontekście teorii ewolucji, oraz wykazuję pewne nieścisłości i błędy w argumentacji mojego adwersarza. Definiując kluczowe aspekty terminu „stworzenie” w ujęciu Tomasza z Akwinu podkreślam, że zmiany ewolucyjne należą do Boskiego gubernatio, a nie creatio. Przedstawiam także nieco bardziej wnikliwą analizę zagadnienia dotyczącego konieczności bezpośredniej Boskiej interwencji w powstaniu nowych gatunków. Przechodząc do zagadnień stricte (...) metafizycznych poruszam kwestie definicji substancjalizmu arystotelesowsko-tomistycznego, analogicznego charakteru statusu bycia substancją, oraz alternatywnej systematyki organizmów żywych zaproponowanej przez Chaberka. W dziedzinie teologii filozoficznej odpowiadam na pytanie o pochodzenie formy substancjalnej pierwszego przedstawiciela nowopowstałego gatunku, w odniesieniu do zagadnień dyspozycji materii i przypadłości substancji. Wracając do kwestii metafizycznych aspektów ewolucjonizmu, proponuję charakterystykę transformacji międzygatunkowej jako procesu, na który składa się wiele zmian substancjalnych i przypadłościowych. (shrink)

The results of econometric modeling are fragile in the sense that minor changes in estimation techniques or sample can lead to statistical models that support inconsistent causal hypotheses. The fragility of econometric results undermines making conclusive inferences from the empirical literature. I argue that the program of evidential pluralism, which originated in the context of medicine and encapsulates to the normative reading of the Russo-Williamson Thesis that causal claims need the support of both difference-making and mechanistic evidence, offers a ground (...) for resolving empirical disagreements. I analyze a recent econometric controversy regarding the tax elasticity of cigarette consumption and smoking intensity. Both studies apply plausible estimation techniques but report inconsistent results. I show that mechanistic evidence allows for discriminating econometric models representing genuine causal relations from accidental dependencies in data. Furthermore, I discuss the differences between biological and social mechanisms and mechanistic evidence across the disciplines. I show that economists mainly rely on mathematical models to represent possible mechanisms. Still, claiming the actuality of the represented mechanisms requires establishing that crucial assumptions of these models are descriptively adequate. I exemplify my approach to assessing the quality of mechanistic evidence in economics with an analysis of two models of rational addiction. (shrink)

The widespread idea that infinitesimals were “eliminated” by the “great triumvirate” of Cantor, Dedekind, and Weierstrass is refuted by an uninterrupted chain of work on infinitesimal-enriched number systems. The elimination claim is an oversimplification created by triumvirate followers, who tend to view the history of analysis as a pre-ordained march toward the radiant future of Weierstrassian epsilontics. In the present text, we document distortions of the history of analysis stemming from the triumvirate ideology of ontological minimalism, which identified the continuum (...) with a single number system. Such anachronistic distortions characterize the received interpretation of Stevin, Leibniz, d’Alembert, Cauchy, and others. (shrink)

To explore the extent of embeddability of Leibnizian infinitesimal calculus in first-order logic (FOL) and modern frameworks, we propose to set aside ontological issues and focus on pro- cedural questions. This would enable an account of Leibnizian procedures in a framework limited to FOL with a small number of additional ingredients such as the relation of infinite proximity. If, as we argue here, first order logic is indeed suitable for developing modern proxies for the inferential moves found in Leibnizian infinitesimal (...) calculus, then modern infinitesimal frameworks are more appropriate to interpreting Leibnizian infinitesimal calculus than modern Weierstrassian ones. (shrink)

Approximately one in six top economic research papers draws an explicitly causal conclusion. But what do economists mean when they conclude that A 'causes' B? Does 'cause' say that we can influence B by intervening on A, or is it only a label for the correlation of variables? Do quantitative analyses of observational data followed by such causal inferences constitute sufficient grounds for guiding economic policymaking? The Philosophy of Causality in Economics addresses these questions by analyzing the meaning of causal (...) claims made by economists and the philosophical presuppositions underlying the research methods used. The book considers five key causal approaches: the regularity approach, probabilistic theories, counterfactual theories, mechanisms, and interventions and manipulability. Each chapter opens with a summary of literature on the relevant approach and discusses its reception amongst economists. The text details case studies, and goes on to examine papers which have adopted the approach in order to highlight the methods of causal inference used in contemporary economics. It analyses the meaning of the causal claim put forward, and finally reconstructs the philosophical presuppositions accepted implicitly by economists. The strengths and limitations of each method of causal inference are also considered in the context of using the results as evidence for policymaking. This book is essential reading to those interested in literature on the philosophy of economics, as well as the philosophy of causality and economic methodology in general. (shrink)

Volume 27, Issue 3, September 2020, Page 266-268.

In this paper, we present a reinterpretation of Roman Ingarden's theory of intentional objects. There are four types of intentional objects in Ingarden's ontology, we offer a detailed analyses of an intentional object that is a correlate of a text. Such an object is characterised by Ingarden as a two-sided and schematised formation. We focus on the notion of schematism. We classify different interpretations of schematism and propose our own definition of schematism of a purely intentional object.

Conflicting results undermine making inferences from the empirical literature. So far, the replication crisis is mainly seen as resulting from honest errors and questionable research practices such as p-hacking or the base-rate fallacy. I discuss the malleability (researcher degrees of freedom) of quantitative research and argue that conflicting results can emerge from two studies using different but plausible designs (e.g., eligibility criteria, operationalization of concepts, outcome measures) and statistical methods. I also explore how the choices regarding study design and statistical (...) techniques bias results in a way that makes them more or less relevant for a given policy or clinical question. (shrink)

The methodological nonreductionism of contemporary biology opens an interesting discussion on the level of ontology and the philosophy of nature. The theory of emergence (EM), and downward causation (DC) in particular, bring a new set of arguments challenging not only methodological, but also ontological and causal reductionism. This argumentation provides a crucial philosophical foundation for the science/theology dialogue. However, a closer examination shows that proponents of EM do not present a unified and consistent definition of DC. Moreover, they find it (...) difficult to prove that higher-order properties can be causally significant without violating the causal laws that operate at lower physical levels. They also face the problem of circularity and incoherence in their explanation. In our article we show that these problems can be overcome only if DC is understood in terms of formal rather than physical (efficient) causality. This breakdown of causal monism in science opens a way to the retrieval of the fourfold Aristotelian notion of causality. (shrink)

The article is an introduction to the issue of Polish literature written in Germany after 1989. The first part of the work focuses around the current literary discussions on defining and developing the terminology and methods enabling research into this new literature – written abroad after the fall of the Iron Curtain. Post­-emigration literature, migration literature, minority literature, multi­-, inter­-, trans­-cultural and diasporic literature – these are only a few of the suggested terms. The second part of the article refers (...) to the works of selected representatives of Polish literature written after 1989 and the issues they discuss in their works. The purpose of the article is to briefly present the complexity of an important problem in the views of Polish, German and Slavic philologists. At the same time, it aims to show that study of the phenomenon in question is still insufficient. (shrink)

Galileo's paradox of infinity involves comparing the set of natural numbers, N, and the set of squares, {n2 : n ∈ N}. Galileo sets up a one-to-one correspondence between these sets; on this basis, the number of the elements of N is considered to be equal to the number of the elements of {n2 : n ∈ N}. It also characterizes the set of squares as smaller than the set of natural numbers, since ``there are many more numbers than squares". (...) As a result, it concludes that infinities cannot be compared in terms of greater--lesser and the law of trichotomy does not apply to them. Cantor's cardinal numbers provide a measure for sets. Cantor gives a definition of the relation greater–lesser between cardinal numbers and establishes the law of trichotomy for these numbers. Yet, when Cantor's theory is applied to subsets of N, it gives that any set can be either finite or of the power ℵ0. Thus, although the set of squares is the subset of N, they are of the same cardinality. Benci, Di Nasso introduces specific numbers to measure sets called numerosities. With numerosities, the following claim is true: numerosity of A < numerosity of B, whenever A ⊈ B. In this paper, we present a simplified version of the theory of numerosities that applies to subsets of N. This theory complies with Galileo's presupposition that when A ⊈ B, then the number of elements in A is smaller than the number of elements in B. Specifically, we show that as the numerosity of N is the number α, the numerosity of the set of squares is the integer part of the number √α, that is ⌊√α⌋, and the inequality ⌊√α⌋ < α holds. (shrink)

There are several faces of Four-Dimensionalism. Sometimes 4D-ism is formulated as the thesis that the material world is composed of spatial as well as temporal parts. Another version of 4D-ism states that persisting objects are extended over time in the same way that they are extended over space. Some Four-Dimensionalists defend the thesis that all objects persist by perduring i.e. by having different temporal parts at different times. Sometimes 4D-ism means the same as eternalism - the thesis that past and (...) future objects (and times) are just as real as currently existing ones. Finally it can mean the thesis that all objects are in fact four-dimensional i.e. they are in every case a filling of some subregions of space-time. The author examines some varieties of 4D-ism and tries to formulate both a precise meaning of those doctrines and an evaluation of them. (shrink)