The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers. -/- Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, (...) Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought. -/- Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry. (shrink)

In consequence of significant social, political, economic, and demographic changes several wildlife species are currently growing in numbers and recolonizing Europe. While this is rightly hailed as a success of the environmental movement, the return of wildlife brings its own issues. As the animals arrive in the places we inhabit, we are learning anew that life with wild nature is not easy, especially when the accumulated cultural knowledge and experience pertaining to such coexistence have been all but lost. This book (...) provides a hermeneutic study of the ways we come to understand the troubling impacts of wildlife by exploring and critically discussing the meanings of 'ecological discomforts'. Thus, it begins the work of rebuilding the culture of coexistence. The cases presented in this book range from crocodile attacks to mice infestations, and their analysis consequently builds up an ethics that sees wildlife as active participants in the shaping of human moral and existential reality. This book is of interest not only to environmental philosophers, who will find here an original contribution to the established ethical discussions, but also to wildlife managers, and even to those members of the public who themselves struggle to make sense of encounters with their new wild neighbors. (shrink)

The current paper studies the formal properties of the Global Reflection Principle, to wit the assertion “All theorems of$\mathrm {Th}$are true,” where$\mathrm {Th}$is a theory in the language of arithmetic and the truth predicate satisfies the usual Tarskian inductive conditions for formulae in the language of arithmetic. We fix the gap in Kotlarski’s proof from [15], showing that the Global Reflection Principle for Peano Arithmetic is provable in the theory of compositional truth with bounded induction only ($\mathrm {CT}_0$). Furthermore, we (...) extend the above result showing that$\Sigma _1$-uniform reflection over a theory of uniform Tarski biconditionals ($\mathrm {UTB}^-$) is provable in$\mathrm {CT}_0$, thus answering the question of Beklemishev and Pakhomov [2]. Finally, we introduce the notion of a prolongable satisfaction class and use it to study the structure of models of$\mathrm {CT}_0$. In particular, we provide a new model-theoretical characterization of theories of finite iterations of uniform reflection and present a new proof characterizing the arithmetical consequences of$\mathrm {CT}_0$. (shrink)

Author: Bonecki Mateusz Title: HUMANISTIC INTERPRETATION AND THEORETICAL RECONSTRUCTION OF CULTURE (Interpretacja humanistyczna a teoretyczna rekonstrukcja kultury) Source: Filo-Sofija year: 2011, vol:.12, number: 2011/1, pages: 189-211 Keywords: CULTURE, SOCIO-REGULATORY THEORY OF CULTURE, KMITA, INTERPRETATION, HUMANITIES, FUNCTIONALISM, CULTURAL STUDIES, KULTURWISSENSCHAFTEN Discipline: PHILOSOPHY Language: POLISH Document type: ARTICLE Publication order reference (Primary author’s office address): E-mail: www:In this paper the author presents crucial aspects of Jerzy Kmita’s socio-regulatory conception of culture in order to define it as a theoretical background of “humanistic (...) interpretation”. When the latter is to be understood as a method of explanation of human behavior with regard to its cultural meaning, the theoretical background is provided by variety of research activities which the author defines as “theoretical reconstruction of culture”. They consist in e.g. socio-functional explanation, linguistic and semantic analysis, or even in epistemological considerations, and guarantee theoretically independent justification of the interpretive hypotheses applied in the course of “humanistic interpretation”. Such “reconstruction” specifies further conditions of intersubjective acceptability of the statements within the discourse of humanities and therefore it also limits the subjective and individual character of the attribution of cultural beliefs to the members of a certain cultural community. (shrink)

ObjectiveThe study aimed to assess the level of disease acceptance as well as the wellbeing and emotions that accompany cancer patients during the COVID-19 pandemic.Materials and MethodsThe study involved 1,000 patients of the oncology centers. The following questionnaires were used for the study: WHO-5–Well-Being Index, BDI–Beck Depression Inventory, disease acceptance scale, and proprietary multiple-choice questions regarding the impact of the epidemic situation on the respondents’ lives so far. The questionnaire study was conducted twice: in March-October 2020 and March-October 2021. The (...) differences between the given periods were statistically analyzed.ResultsAt the time of the study, the respondents felt mainly anxiety related to the possibility of contracting COVID-19, the possibility of infecting a loved one, or staying in quarantine. Anxiety was also caused by the vision of poorer access to health services. Along with the duration of the epidemic, the acceptance of neoplastic disease has decreased and the incidence of depressive symptoms has increased.ConclusionThe wellbeing of the respondents deteriorated significantly during the pandemic. The respondents, in their daily functioning, were mainly accompanied by anxiety. The risk of depression has increased and the acceptance of the disease has decreased significantly. (shrink)

In this review-paper, I focus on biopsychological foundations of geometric cognition. Starting from the Kant’s views on mathematics, I attempt to show that contemporary cognitive scientists, alike the famous philosopher, recognize mutual relationships of visuospatial processing and geometric cognition. What I defend is a claim that Tinbergen’s explanatory questions are the most fruitful tool for explaining our “hardwired,” and thus shared with other animals, Euclidean intuitions, which manifest themselves in spatial navigation and shape recognition. I claim, however, that these “hardwired (...) intuitions” cannot capture full-blooded Euclidean geometry, which demands practice with cultural artifacts in various time-scales. (shrink)

In this paper it has been argued that the theory of conceptual maps developed recently by Paul M. Churchland provides support for Wittgenstein’s claim that language is a tool for acting in the world. The role of language is to coordinate and shape the conceptual maps of the members of the given language community, reducing the cross-individual cognitive idiosyncrasies and paving the way for joint cognitive enterprises. Moreover, Churchland’s theory also explains our tendency to speak of language as consisting of (...) concepts which correspond to things we encounter in the world. The puzzle of common sense reference is no longer a puzzle: while at the fundamental level language remains a tool for orchestrating conceptual maps, the fact that the maps encode some communally shared categorization of experience fuels our talk of concepts capturing the essences of things, natural kinds, prototypes, etc. (shrink)

Arguments based on counterfactual conditionals are often employed to discuss and criticize authorities' responses to various societal problems. Such arguments were prevalent during the COVID-19 pandemic and served as a potent tool to undermine justifications for the measures proposed by governments to tackle the contagion. For decades, numerous attempts have been made to formulate a successful theory on the validity conditions of counterfactual conditionals, with structural causal models playing a prominent role in recent years. The causal nature of pandemics has (...) been the subject of an increasing number of studies, focusing on their causes (such as the probability of a spillover event), their spread (e.g., asymptomatic carriers), and their effective management (e.g., the preparedness paradox and the prevention paradox). The prevailing view is that pandemics are nonlinear phenomena characterized by numerous positive and negative feedback loops, complicating their description in terms of causes and effects. This study aims to collect a sample of arguments used in the public debate in Poland during the COVID-19 pandemic. This sample is then used to determine the frequency, typical content, and contextual use of counterfactual conditionals in the discourse of opponents of government interventions in the initial years of the pandemic. The results are compared with the literature on the causality of pandemics and with the logical theories of counterfactual statements. Our findings suggest that counterfactual argumentation is particularly attractive to individuals recognized as experts, helping them maintain their social status and public image. However, counterfactual arguments necessarily simplify the causal complexity of the COVID-19 pandemic and thus should be regarded as generally invalid as they become meaningless when applied to complex phenomena like pandemics. (shrink)

The main purpose of the paper is to develop a concept of _model uncertainty_ as opposed to the existing and well-established concept of model risk. Up to date the broad literature on probability not only developed complete probability systems, but also correctly noticed limitations of probability calculus. Despite the acknowledgement of such probability restrictions, drawbacks of modeling are often related to model risk. We present an argument here to distinguish a feature limiting models even further: model uncertainty. The tenets of (...) it already exist in the literature on probability, but were not properly emphasized while the idea of model risk was developed. Our plan it to start with a broad overview of the existing knowledge about probability in order to start with fundamental principles. From them we are deriving a new concept of model uncertainty. (shrink)

The paper presents a partial evaluation of employment and factors related to the labour markets in European countries in 2007-2016. The interconnectedness of these determinants in the context of GDP dynamics per capita for each country was examined. The quoted partial subject literature and empirical research allowed to formulate the most important conclusions, among others: in the context of GDP dynamics per capita, at least four groups of countries can be distinguished in Europe, each of them has completely different characteristics (...) having an influence (in the Granger causality sense) on change in GDP per capita of these countries for various time steps. (shrink)

Angela of Foligno was certainly born in the middle of the 13th century, in a rich family. Most scholars accept, at least to a certain extent, a more exact chronology of her life, proposed by Martin-Jean Ferré.1 According to him, Angela, born in 1248, experienced a conversion in 1285 and lost her entire family – husband, children, and mother – in a few subsequent years. In this time she also sold all of her possessions. At the beginning of 1291 she (...) entered the Third Order of St. Francis and went on a pilgrimage to Assisi, during which she experienced powerful mystical graces, hearing the voice of the Holy Spirit and conversing with him almost the whole way. During her stay in Assisi, she caused a scandal, screaming... (shrink)

The aim of this article is to suggest that one should think of gardens in terms of performances and not necessarily in terms of architecture, painting, or poetry, for it is possible to show that, strangely enough, gardens seem to share certain features with performance arts. Such an approach seems fruitful since it allows one both to grasp the fact that gardens combine culture and nature and to underline the role of the latter, which cannot be reduced to a sheer (...) medium as is traditionally done. The contention is that gardens should be treated more like a continuous, dynamic, partly planned process in which people can participate in different ways on a par with other non-human ‘actors’. Moreover, the category of performance seems to offer a useful framework helping to solve certain problems inherent in traditional ways of thinking about gardens. (shrink)

Boolean connexive logic is an extension of Boolean logic that is closed under Modus Ponens and contains Aristotle’s and Boethius’ theses. According to these theses a sentence cannot imply its negation and the negation of a sentence cannot imply the sentence; and if the antecedent implies the consequent, then the antecedent cannot imply the negation of the consequent and if the antecedent implies the negation of the consequent, then the antecedent cannot imply the consequent. Such a logic was first introduced (...) by Jarmużek and Malinowski, by means of so-called relating semantics and tableau systems. Subsequently its modal extension was determined by means of the combination of possible-worlds semantics and relating semantics. In the following article we present axiomatic systems of some basic and modal Boolean connexive logics. Proofs of completeness will be carried out using canonical models defined with respect to maximal consistent sets. (shrink)

One of the logic defined by Richard Epstein in a context of an analysis of subject matter relationship is Symmetric Relatedness Logic S. In the monograph [2] we can find some open problems concerning relatedness logic, a Post-style completeness theorem for logic S is one of them. Our paper introduces a solution of this metalogical issue.

We introduce a principle of local collection for compositional truth predicates and show that it is arithmetically conservative over the classically compositional theory of truth. This axiom states that upon restriction to formulae of any syntactic complexity, the resulting predicate satisfies full collection. In particular, arguments using collection for the truth predicate applied to sentences occurring in any given (code of a) proof do not suffice to show that the conclusion of that proof is true, in stark contrast to the (...) case of the induction scheme. We analyse various further results concerning end-extensions of models of compositional truth and the collection scheme for the compositional truth predicate. (shrink)

James (1890) distinguished two understandings of the self, the self as “Me” and the self as “I”. This distinction has recently regained popularity in cognitive science, especially in the context of experimental studies on the underpinnings of the phenomenal self. The goal of this paper is to take a step back from cognitive science and attempt to precisely distinguish between “Me” and “I” in the context of consciousness. This distinction was originally based on the idea that the former (“Me”) corresponds (...) to the self as an object of experience (self as object), while the latter (“I”) reflects the self as a subject of experience (self as subject). I will argue that in most of the cases (arguably all) this distinction maps onto the distinction between the phenomenal self (reflecting self-related content of consciousness) and the metaphysical self (representing the problem of subjectivity of all conscious experience), and as such these two issues should be investigated separately using fundamentally different methodologies. Moreover, by referring to Metzinger’s (2018) theory of phenomenal self-models, I will argue that what is usually investigated as the phenomenal-“I” [following understanding of self-as-subject introduced by Wittgenstein (1958) ] can be interpreted as object, rather than subject of experience, and as such can be understood as an element of the hierarchical structure of the phenomenal self-model. This understanding relates to recent predictive coding and free energy theories of the self and bodily self discussed in cognitive neuroscience and philosophy. (shrink)

In this paper, we present the history of and the research directions in relating logic. For this purpose we will describe Epstein's Programme, which postulates accounting for the content of sentences in logical research. We will focus on analysing the content relationship and Epstein's logics that are based on it, which are special cases of relating logic. Moreover, the set-assignment semantics will be discussed. Next, the Torunian Programme of Relating Semantics will be presented; this programme explores the various non-logical relationships (...) in logical research, including those which are content-related. We will present a general description of relating logic and semantics as well as the most prominent issues regarding the Torunian Programme, including some of its special cases and the results achieved to date. -/- . (shrink)

This paper is a follow-up to [4], in which a mistake in [6] (which spread also to [9]) was corrected. We give a strenghtening of the main result on the semantical nonconservativity of the theory of PT−with internal induction for total formulae${(\rm{P}}{{\rm{T}}^ - } + {\rm{INT}}\left( {{\rm{tot}}} \right)$, denoted by PT−in [9]). We show that if to PT−the axiom of internal induction forallarithmetical formulae is added (giving${\rm{P}}{{\rm{T}}^ - } + {\rm{INT}}$), then this theory is semantically stronger than${\rm{P}}{{\rm{T}}^ - } + (...) {\rm{INT}}\left( {{\rm{tot}}} \right)$. In particular the latter is not relatively truth definable (in the sense of [11]) in the former. Last but not least, we provide an axiomatic theory of truth which meets the requirements put forward by Fischer and Horsten in [9]. The truth theory we define is based on Weak Kleene Logic instead of the Strong one. (shrink)

In the following paper we propose a model-theoretical way of comparing the “strength” of various truth theories which are conservative over $$PA$$. Let $${\mathfrak {Th}}$$ denote the class of models of $$PA$$ which admit an expansion to a model of theory $${ Th}$$. We show (combining some well known results and original ideas) that $$\begin{aligned} {{\mathfrak {PA}}}\supset {\mathfrak {TB}}\supset {{\mathfrak {RS}}}\supset {\mathfrak {UTB}}\supseteq \mathfrak {CT^-}, \end{aligned}$$ where $${\mathfrak {PA}}$$ denotes simply the class of all models of (...) $$PA$$ and $${\mathfrak {RS}}$$ denotes the class of recursively saturated models of $$PA$$. Our main original result is that every model of $$PA$$ which admits an expansion to a model of $$CT ^-$$, admits also an expansion to a model of $$UTB$$. Moreover, as a corollary to one of the results (brought to us by Carlo Nicolai) we conclude that $$UTB$$ is not relatively interpretable in $$TB$$, thus answering the question from Fujimoto (Bull Symb Log 16:305–344, 2010). (shrink)

The purpose of this paper is consideration about issues of work of art’s autonomy in regard to its creator and issue of artistic freedom according to privative theory of art connected to Aristotelian-Thomistic philosophy. Presented philosophy of art emphasizes analogical feature of art, and it includes in art’s domain every intentional type of creation in unlike modern tendency to unification arts around idea of beauty whilst distancing from twentieth-century anti-essentialism. The main function of art understood in this way is replenishing (...) privations found by man in the world. The essence of art is realization by creator his concept. From this point of view the aim of whole creation is good of work for itself which leads to recognition of autonomy and self-sufficiency of work of art. (shrink)

The notion of implicit commitment has played a prominent role in recent works in logic and philosophy of mathematics. Although implicit commitment is often associated with highly technical studies, it remains an elusive notion. In particular, it is often claimed that the acceptance of a mathematical theory implicitly commits one to the acceptance of a Uniform Reflection Principle for it. However, philosophers agree that a satisfactory analysis of the transition from a theory to its reflection principle is still lacking. We (...) provide an axiomatization of the minimal commitments implicit in the acceptance of a mathematical theory. The theory entails that the Uniform Reflection Principle is part of one’s implicit commitments, and sheds light on why this is so. We argue that the theory has significant epistemological consequences in that it explains how justified belief in the axioms of a theory can be preserved to the corresponding reflection principle. The theory also improves on recent analyses of implicit commitment based on truth or epistemic notions. (shrink)

This book aims to present trompe-l'oeil painting as an ambigous aesthetic ideal offered by early modern theory of art. It embodies the idea of an image identical to what it represents. It is interpreted in terms of perceptual and aesthetic illusion, mimesis, diegesis, play, irony and scientific illustration.

Artykuł jest próbą analizy koncepcji minimalistycznej neurofilozofii autorstwa Henrika Waltera w kontekście dyskusji dotyczącej problemu psychofizycznego. Bezpośrednio związana z ową koncepcją teoria o „zróżnicowanej metafizyce” została w tekście powiązana z ideą pluralizmu eksplanacyjnego i ukazana jako metodologiczna alternatywa dla poszukiwania fundamentalnych teorii świadomości. Jednocześnie poza ewentualnymi zaletami metafilozoficznej refleksji podejmowanej w ramach minimalistycznej neurofilozofii zarysowane zostały jej podstawowe ograniczenia i problemy związane m.in. z uznaniem superweniencji za punkt łączący różnorodne stanowiska neurofilozoficzne.

The aim of the paper is to discuss the idea of dialogue with nature. Even though the idea of dialogue with animals, plants – even objects of inanimate nature – is well known, it has usually been treated as an expression of a naive or folk view. Yet, it has recently gained in importance as an idea that is used to describe an ecological approach to natural environment and tends to be treated as a foundation for an ecological culture. A (...) noteworthy contribution to the reconsideration of the concept of human-nature dialogue has also been given by a number of contemporary philosophers who have offered an environmental reinterpretation of phenomenology and hermeneutics based on, among other things, Martin Buber’s concept of the I-You relationship. The paper will focus on two aspects of the concept of dialogue, namely on its epistemological and ethical implications. Following Erazim Kohák’s theory, which will be presented as a key figure of a particular manner of speaking about nature, one that leads to ecological personalism. (shrink)

We present here some Boolean connexive logics (BCLs) that are intended to be connexive counterparts of selected Epstein’s content relationship logics (CRLs). The main motivation for analyzing such logics is to explain the notion of connexivity by means of the notion of content relationship. The article consists of two parts. In the first one, we focus on the syntactic analysis by means of axiomatic systems. The starting point for our syntactic considerations will be the smallest BCL and the smallest CRL. (...) In the first part, we also identify axioms of Epstein’s logics that, together with the connexive principles, lead to contradiction. Moreover, we present some principles that will be equivalent to the connexive theses, but not to the content connexive theses we will propose. In the second part, we focus on the semantic analysis provided by relating- and set-assignment models. We define sound and complete relating semantics for all tested systems. We also indicate alternative relating models for the smallest BCL, which are not alternative models of the connexive counterparts of the considered CRLs. We provide a set-assignment semantics for some BCLs, giving thus a natural formalization of the content relationship understood either as content sharing or as content inclusion. (shrink)

The notion of implicit commitment has played a prominent role in recent works in logic and philosophy of mathematics. Although implicit commitment is often associated with highly technical studies, it remains so far an elusive notion. In particular, it is often claimed that the acceptance of a mathematical theory implicitly commits one to the acceptance of a Uniform Reflection Principle for it. However, philosophers agree that a satisfactory analysis of the transition from a theory to its reflection principle is still (...) lacking. We provide an axiomatization of the minimal commitments implicit in the acceptance of a mathematical theory. The theory entails that the Uniform Reflection Principle is part of one's implicit commitments, and sheds light on the reason why this is so. We argue that the theory has interesting epistemological consequences in that it explains how justified belief in the axioms of a theory can be preserved to the corresponding reflection principle. The theory also improves on recent proposals for the analysis of implicit commitment based on truth or epistemic notions. (shrink)

The article concerns two axiom systems of Słupecki for the functionally complete three-valued propositional logic: W1–W6 and A1–A9. The article proves that both of them are inadequate—W1–W6 is semantically incomplete, on the other hand, A1–A9 governs a functionally incomplete calculus, and thus, it cannot be a semantically complete axiom system for the functionally complete three-valued logic.

A method of constructing Hilbert-type axiom systems for standard many-valued propositional logics was offered by Rosser and Turquette. Although this method is considered to be a solution of the problem of axiomatisability of a wide class of many-valued logics, the article demonstrates that it fails to produce adequate axiom systems. The article concerns finitely many-valued propositional logics of Łukasiewicz. It proves that if standard propositional connectives of the Rosser–Turquette axiom systems are definable in terms of the propositional connectives of Łukasiewicz’s (...) logics, and thus, they are normal ones, then every Rosser–Turquette axiom system for a finite-valued Łukasiewicz’s logic is semantically incomplete. (shrink)

The aim of this chapter is to explore the relationship between metaphor and reasoning, by claiming that argumentation might act as a bridge between metaphor and reasoning. Firstly, the chapter introduces metaphor as a framing strategy through which some relevant properties of a source domain are selected to understand a target domain. The mapping of properties from the source to the target domain implicitly forces the interpreter to consider the target from a specific perspective. Secondly, the chapter presents metaphor as (...) an implicit argument where some inferences can be drawn from the comparison between the source and the target domain. In particular, this chapter aims to understand whether and to what extent such an argument might be linked to analogical reasoning. The chapter argues that, in case of faulty analogy, this kind of argument might have the form of a quaternio terminorum, where metaphor is the middle term. Finally, the chapter presents the results of an experimental study, aiming to test the effect of the linguistic nature of the middle term on the detection of such faulty analogy. The chapter concludes that a wider context is needed to make sense of an analogical argument with novel metaphors, whilst in a narrow context, a lexicalised metaphor might be extended and the overall argument might be interpreted as metaphoric. (shrink)