It is widely believed that mathematics carries a substantial part of the explanatory burden in science. However, mathematics can also play important heuristic roles of a different kind, being a source of new ideas and approaches, allowing us to build toy models, enhancing expressive power and providing fruitful conceptualizations. In this paper, we focus on the application of dynamical systems theory (DST) within the extended cognition (EC) field of cognitive science, considering this case study to be a good illustration of (...) a general phenomenon. In the paper, we justify both a negative and a positive claim. The negative claim is that dynamical systems theory hardly plays any explanatory role in EC research. We justify our claim by analyzing several accounts of the explanatory role of mathematics and stressing the way mathematical arguments are used in explanations. Our positive claim is that even though, for now, DST has no explanatory power in many of the EC approaches, it still plays an important heuristic role there. In particular, using mathematical notions improves the expressive power of the language and gives a sense of understanding of the phenomena under investigation. The case study of EC allows us to identify and analyze this important role of mathematics, which seems to be neglected in contemporary discussions. (shrink)

This paper theoretically and experimentally investigates the behavior of asymmetric players in guessing games. The asymmetry is created by introducing r>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r>1$$\end{document} replicas of one of the players. Two-player and restricted N-player cases are examined in detail. Based on the model parameters, the equilibrium is either unique in which all players choose zero or mixed in which the weak player (r=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r=1$$\end{document}) imitates the strong (...) player (r>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r>1$$\end{document}). A series of experiments involving two and three-player repeated guessing games with unique equilibrium is conducted. We find that equilibrium behavior is observed less frequently and overall choices are farther from the equilibrium in two-player asymmetric games in contrast to symmetric games, but this is not the case in three-player games. Convergence towards equilibrium exists in all cases but asymmetry slows down the speed of convergence to the equilibrium in two, but not in three-player games. Furthermore, the strong players have a slight earning advantage over the weak players, and asymmetry increases the discrepancy in choices (defined as the squared distance of choices from the winning number) in both games. (shrink)

The Synoptic Problem is a puzzle that scholars have desired to solve since the 18th century. The discussion has a religious background, because it is about the first three canonical Gospels of the Church, namely Matthew, Mark and Luke, which came to be called the Synoptic Gospels. The discussion, in the most basic context, concentrates on the point that there is a possible relationship or connection between the Synoptic Gospels and that each one is substantially similar to another but at (...) the same time includes different aspects. This theoretical discussion separates the Gospel of John from the Synoptic Gospels and does not see it as a main source for the history of Jesus. The method of discussion is based on the reading of the Synoptic Gospels from a birds-eye-view, as seen together, and as comparatively in relation to each other. The aim of the discussion is to reach accurate historical information about Jesus and the birth of Christianity by analyzing the possible relationship between the Synoptic Gospels through their sources. Several hypotheses have been proposed for the solution of the Synoptic Problem. However, all the modern studies in the context of the problem are carried out by Western scholars. In other words, Synoptic Problem is a relatively unknown subject in the Turkish academic circles. So in this paper the aim is to draw the attention of the Turkish academy to the substance and framework of the Synoptic Problem through an introductory survey. In addition, some results that can be reached in this context will be exemplified by getting help from the redaction criticism. Summary: The Synoptic Problem is a puzzle that scholars have been trying to solve since the 18th century. The discussion has a religious background, for it is about the first three canonical Gospels of the Church (namely Matthew, Mark, and Luke, which are called the Synoptic Gospels). The discussion, in the most basic context, concentrates on a possible relationship or connection between the Synoptic Gospels and that each one is substantially similar to another one, but at the same time including different aspects. This theoretical discussion separates the Gospel of John from the Synoptic Gospels, and does not see it as a main source for the history of Jesus. The method of this discussion is based on the broad reading of the Synoptic Gospels as well as a comparison in relation to each other. The aim of the discussion is to reach accurate historical information about Jesus and the birth of Christianity by analyzing the possible relationship between the Synoptic Gospels through their sources.The traditional four Gospels have been debated since ancient times. There have been many dimensions of these discussions. However, whether the Gospels contain contradictory information or not has always been at the forefront. Pagan writers, such as Celsus or Porphyry, criticized the Gospels in this respect. Christian writers, such as Marcion or Tatian who lived in the second century when the Gospels were not seen as canon yet, raised some suggestions based on the doubts that the Gospels were incompatible with the Jewish scriptures and contained contradictions among themselves. Marcion included a single Gospel that was close to the Gospel of Luke in his New Testament canon. Tatian made a mixed version of the four Gospels. In the next stage, the contradictions in the Gospels were explained by the Christian writers, such as Origenes or Augustine. However, the four Gospels were more prominent in this new era and they were regarded as canons by the Church. Therefore, the Christian writers’ approach to the Gospels also began to change. Origen emphasized allegorical interpretation which had been known since the Jewish philosopher Philo (d. 50) in Alexandria. Thus, he wanted to protect the contradictory texts from being seen as the source of the problem. He argued that the problem was the human mind that could not grasp the allegorical mystery of the text or the narrative in the text. Augustine had a similar approach with the suggestion that the Gospels should be read by a faithful heart. According to Augustine, it is natural that the Gospels reflect different characters because the Gospel writers describe Christ differently. In order to be able to comprehend the divine meaning in these texts, the Gospels must be read in a spiritual mood. After all, all these Christian writers aimed to respond to the criticism by the pagan writers regarding the Gospels, as well as the current suspicions in the minds of Christians.Origen was the first Christian thinker to devote an effort to solve the debates on the Gospels in a logical and systematic way. As for Augustine, he was the starting point of the Synoptic Problem since Augustine was the first to mention the links between the Gospels texts, namely the idea that the authors of the Gospels may have used each other as sources. However, in the modern sense, the Synoptic Problem has been transformed into an academic discipline by the intellectuals who followed the path of Enlightenment thinkers, such as Reimarus (1684-1768), Lessing (1729-1781), Griesbach (1745-1812), and Eichhorn (1752-1827). Because modern researchers differ from old writers based on Church ideologies, they began to demolish traditional beliefs about the Gospels. Thus, the effort to harmonize incompatible narratives in the Gospels is left aside. Indeed, the ancient writers put a lot of effort into it. Now, in the places where indirect relations can be established between the Gospels, the idea of finding the common hypothetical sources of these Gospels is prominent. The claim that the Gospels were directly connected to Jesus as a historical figure has been gradually faded away. The basis of the Synoptic Problem is the comparative reading of the Synoptic Gospels. In the modern sense, this comparison and its interpretation was made by J. J. Griesbach (1745-1812) for the first time. Griesbach was the first scholar to compare Matthew, Mark, and Luke in a way to create a synopsis. His comparison is based on a reading done by placing several passages or narratives from the Gospels side by side.Many hypotheses have been put forward for the solution of the Synoptic Problem. Two-Source Hypotheses, Four-Source Hypotheses, and Farrer Theory are the most popular ones among researchers. These views are based on Marcan Priority. In this context, independently from each other, Matthew and Luke used Mark’s text as their sources. Also, according to the Two-Sources and Four-Source Hypotheses, the authors of Matthew and Luke used another written document as their sources. This document is named the “Q” which derives from the German word “Quellen.” In this way, it is assumed that the Q-document and the Gospel of Mark are the sources of the Gospels of Matthew and Luke.The writers of the Gospels wrote their own texts by using written and oral sources. One of the scholarly methods is the redaction criticism that explores how the Gospel writers shaped the old literary documents by arranging, re-shaping, and revising them. This theory looks at whether the source used by an author is known and available today in order to understand whether how the author used his sources would provide important clues about his tendencies or ideologies. In this regard, the theory of the Marcan priority can be rendered functional along with the redaction criticism. In doing so, it is possible to reach important conclusions about Jesus and the birth of Christianity, as well as the theological and ideological ideas of the unknown authors of the Gospels of Matthew and Luke. First of all, the authors of Matthew and Luke used Mark’s text as their sources. Secondly, we have these three Gospels today. And finally, the ways in which the writers of Matthew and Luke shaped the text, phrases, or expressions of Mark reveal important results about their thoughts. The analysis shows that the authors of Matthew and Luke sometimes made additons that could be called interpolation to Mark’s text; sometimes they wanted to censor some statements in Mark; sometimes they tried to explain or clarify some statements in the Mark, or sometimes they tried to blur clear expressions and expositions in Mark's text. These authors did not do such things without a reason. They wanted to reshape Mark’s text in accordance with their theological understanding of Jesus as Christ. In this context, according to some expressions in Mark, Jesus' power had a limit. The authors of Matthew and Luke did not find these statements appropriate, because they changed Mark’s some statements to create an impression that Jesus’ power was not limited. This proves that the authors of Matthew and Luke re-arranged their resources to present Jesus as a superhuman being. Similarly, in Mark, there are lines in which Jesus declares his loyalty and servitude to the God of Israel. In such passages, he presented his personality in a low Christology context against God. However, the authors of Matthew and Luke were disturbed by such statements, because they intervened in these statements in Mark. They wanted to change some of the meanings and contexts in Mark’s text through such interventions and presented Jesus as Christ in a high Christological context to their readers. In the end, all these researches also responded to the question of to what extent the Gospels provide reliable information on a historical basis. (shrink)

According to the expertise defense, practitioners of the method of cases need not worry about findings that ordinary people’s philosophical intuitions depend on epistemically irrelevant factors. This is because, honed by years of training, the intuitions of professional philosophers likely surpass those of the folk. To investigate this, we conducted a controlled longitudinal study of a broad range of intuitions in undergraduate students of philosophy (n = 226), whose case judgments we sampled after each semester throughout their studies. Under the (...) assumption, made by proponents of the expertise defense, that formal training in philosophy gives rise to the kind of expertise that accounts for changes in the students’ responses to philosophically puzzling cases, our data suggest that the acquired cognitive skills only affect single case judgments at a time. There does not seem to exist either a general expertise that informs case judgments in all areas of philosophy, or an expertise specific to particular subfields. In fact, we argue that available evidence, including the results of cross-sectional research, is best explained in terms of differences in adopted beliefs about specific cases, rather than acquired cognitive skills. We also investigated whether individuals who choose to study philosophy have atypical intuitions compared to the general population and whether students whose intuitions are at odds with textbook consensus are more likely than others to drop out of the philosophy program. (shrink)

Bu metin 11 Haziran 2020'de ArtDog İstanbul dergisinde yayınlanmıştır. Zafer Aracagök'e burada yeniden üretmemize izin verdiği için teşekkür ediyoruz. Homeros'un Odysseus'un gemisinin Siren'lerin karanlık ve büyüleyici darboğazından geçişini tasvir ettiği zamanlardan bu güne birçok sanatçı, yazar ve düşünür bu sahneyi ele almış, Adorno ve Horkheimer'ın Aydınlanma'nın Diyalektiği ve Franz Kafka'nın “Siren'lerin Sessizliği” adlı öyküsü en dikkat çekici yorumlar arasında yerlerini almışlardır. İki çalışma - Philosophie – Nouvel article.

The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology (...) in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science. (shrink)

Beebe and Buckwalter made the surprising discovery that people are more inclined to attribute knowledge when norms are violated than when they are conformed to. The epistemic side-effect effect is the analogue of the Knobe effect. ESEE was replicated in a number of experiments. It was also studied under various conditions. We have carried out a meta-analysis of research on ESEE. The results suggest that ESEE is a robust finding but its magnitude is highly variable. Two study-level covariates influence its (...) size: the subject of the knowledge attribution and the type of norm that is violated or complied with. The effect size is not influenced, however, by the manipulation of chances, by whether the story is about a side effect or not, by language or by question phrasing. The impact of the Gettierization of the story is marginally significant. (shrink)

This text has already been published in La Deleuziana – Online Journal of Philosophy – ISSN 2421-3098 N. 10 / 2019 – RHYTHM, CHAOS AND NONPULSED MAN.: We all know by now why a kid starts whistling in the middle of a territory unknown. Refrain builds up a milieu, deterritorialising all the forces of the unknown with the ear of an other. However, have we as yet considered how the ear gets into resonance with the transformation of the unknown into (...) the known? In other words, - Philosophie – Nouvel article. (shrink)

In this paper, we present two experimental studies on reference of complex demonstratives. The results of our experiments challenge the dominant view in philosophy of language, according to which demonstrative reference is determined by the speaker's intentions. The first experiment shows that in a context where there are two candidates for the referent—one determined by the speaker’s intention, the other by some “external” factors—people prefer to identify the referent of a demonstrative with the latter object. The external factors for which (...) this prediction has been confirmed include the speaker’s demonstration and the descriptive content of a demonstrative. The second experiment shows that while this preference can be explained in terms of the speakers’ having different sorts of referential intentions, the relevant kind of intentions are fully opaque to the subjects. At the end of our paper, we point to some alternative accounts of demonstrative reference, including a pluralistic and hybrid approach, which can accommodate our experimental results. (shrink)

From a phenomenological point of view on the relationship between art and philosophy, we can see that both of them refer to a pre-subjective and a preobjective field. In this context, art becomes a creative activity that makes the world itself visible in a way independent of all human values and judgments, rather than giving a representation of the objective world. However, its creativity is shaped not only due to the artistic abilities but to the fact of being actually a (...) corporeal entity. Perceiving refers to an endless creation since it emerges as the founding activity of the body anchored in the world. The artist, like the philosopher, whether with words or brush strokes also has the possibility to express this primordial perception which is prior to all the correction and the arrangement of mind, in its birth. The pre-reflexive ground of perception refers to an existence which is both individual and collective as being filled with invisible meaning horizons. The aesthetical experience arises in seizing this existence. But in order to understand this, the true nature of the vision must be conceived. This paper tries to indicate the role that aesthetic experience plays in making the Logos of the primordial world visible. In this context, the relation between Merleau-Ponty and Paul Cézanne, who is a very important figure for him, is considered from both philosophy and art as well as from a philosopher and a painter. What we encounter here is not a philosophy of art nor an aesthetics, but the artistic nature of philosophy itself. (shrink)

Truth conditions of sentences ascribing non-doxastic propositional attitudes seem to depend on the information structure of the embedded clause. In this paper, we argue that this kind of sensitivity is a semantic phenomenon rather than a pragmatic one. We report four questionnaire studies which explore the impact of the information structure on the truth conditions of non-doxastic attitude ascriptions from different perspectives. The results of the first two studies show that the acceptability of those ascriptions can be affected by some (...) structural modifications of the embedded clause, in particular, when we replace a simple form by an equivalent complex _conjunctional_ form (‘_p_ and _q_’). However, it is possible that different evaluations of such ascriptions have a pragmatic source, namely, the ascriptions with embedded conjunction _imply_ that the agent’s attitude transfers to both conjuncts. In the second pair of studies, we further investigate the nature of this implication which can be classified as ‘Conjunction Elimination’ (CE) in the scope of an attitude verb. The results show that CE-inferences in the context of non-factive non-doxastic attitude ascriptions are not easily cancellable and hence of a semantic rather than pragmatic nature. The results are not conclusive when it comes to the factive non-doxastic attitudes. We conclude our findings by some considerations about a potential source of the observed difference between non-factive and factive attitude verbs and the significance of our general findings to the semantic theory of non-doxastic attitude ascriptions. (shrink)

Diffusion of responsibility is a well-known effect widely studied in a real-life setting. It can occur in a situation in which the more people observe a crisis event, the less likely it is that someone will react and provide real assistance. These days of a galloping digital revolution a question is to be raised as to whether the same effect can be observed in the online space of communication. In order to investigate this phenomenon we designed a study aimed at (...) testing whether people exposed to a situation of cyberbullying will decide to take action against it depending on how many other Internet users are also aware of that crisis. Results obtained by us confirmed the existence of the diffusion of responsibility in the Internet similar to that observed in our daily lives. We also confirmed that a well-known influence technique “Even a penny will help” (in our study “every reaction will help”) can be effectively used to model behaviour online. In our times of digital revolution, those outcomes can be a step both toward understanding human behaviour in the online setting, showing us that it is not that different from the one presented in real live face-to-face communication and toward helping deal with antisocial behaviour people face online on a daily basis. (shrink)

I show how classical and quantum physics approach the problem of randomness and probability. Contrary to popular opinions, neither we can prove that classical mechanics is a deterministic theory, nor that quantum mechanics is a nondeterministic one. In other words it is not possible to show that randomness in classical mechanics has a purely epistemic character and that of quantum mechanics an ontic one. Nevertheless, recent developments of quantum theory and increasing experimental possibilities to check its predictions call for returning (...) to the problem of comparing possibilities given by classical and quantum physics to accommodate and prove the existence of a `genuine randomness'. Recent results concerning `amplification of randomness' show that, in certain sense, quantum physics is in fact ‘more random’ that classical and outperforms it in producing a `truly random process'. (shrink)

Author's ideas on the end of the world and afterlife.

Starting from logical structures of classical and quantum mechanics we reconstruct the logic of so-called no-signaling theories, where the correlations among subsystems of a composite system are restricted only by a simplest form of causality forbidding an instantaneous communication. Although such theories are, as it seems, irrelevant for the description of physical reality, they are helpful in understanding the relevance of quantum mechanics. The logical structure of each theory has an epistemological flavor, as it is based on analysis of possible (...) results of experiments. In this note we emphasize that not only logical structures of classical, quantum and no-signaling theory may be treated on the same ground but it is also possible to give to all of them a common ontological basis by constructing a “phase space” in all cases. In non-classical cases the phase space is not a set, as in classical theory, but a more general object obtained by means of category theory, but conceptually it plays the same role as the phase space in classical physics. (shrink)

The author presents a uniform formulation of the Paradox of an Unexpected Ex-amination and classifies proposed solutions of the antinomy. The analysis of the so-lutions and counterarguments found in the literature of the problem allows to point possible further developments and criticism.

Expressivists distinguish between two languages: the descriptive and the normative. The moral sentences belonging to the latter do not state facts, therefore have no truth conditions and only express moral approval or disapproval towards the evaluated object. This proposition faced the charge that it is possible to find unasserted semantic contexts in which moral sentences appear to be true (Frege-Geach objection). The paper shows how Blackburn (1988) dealt with this problem. We go on to argue that in order to accept (...) Blackburn's solution one needs to have a clear concept of what it is 'to express'. We show which conditions this relation has to fulfill so as to make the theory of expressivism coherent. Using as examples two popular notions of expression relation - expression as a symptom (Husserl, Ajdukiewicz, Ossow­ska) and expression as a causal relation (Ayer) - we demonstrate that neither of these notions is adequate for the expressivists' purposes, which leads to the conclusion that expression relation remains mysterious and there is a serious gap in the theory. (shrink)

Leibniz’s _principium identitatis indiscernibilium _excludes the existence of two different objects possessing all properties identical. Although perfectly acceptable for macroscopic systems, it becomes questionable in quantum mechanics, where the concept of identical particles is quite natural and has measurable consequences. On the other hand, Leibniz’s principle seems to be indispensable when we want to individuate an item and ascribe to it particular property (e.g. value of the projection of spin on a chosen axis). We may thus abandon the principle on (...) the quantum level, claiming it falsity here, or (better) try to find other ways of individuation of objects, possibly by adopting appropriately the very concept of it. All these problems, and many other connected with identity and indiscernibility of quantum objects, are thoroughly discussed in the book of Tomasz Bigaj, unique in the world literature due to its comprehensiveness. (shrink)

Comparative study of Sankhya philosophy of Hinduism and the Ayurvedic system of Indic medicine.

Barcz and Zaręba (2021) argue that depending on the shape and the size of the asymmetry in attributions of intentional actions one can distinguish various interpretations of the Knobe effect. Their classification of these interpretations can be used to compare judgments of intentional action across different languages and cultures. Our study in three languages (Polish, English and Italian) indicates that there is some cross-cultural variation both in the ascription of intentionality to an action and in the ascription of actions to (...) the agent. (shrink)

In the digital world of today, multitasking with media is inevitable. Research shows, for instance, that American youths spend on average 7.5 h every day with media, and 29% of that time is spent processing different forms of media simultaneously. Despite numerous studies, however, there is no consensus on whether media multitasking is effective or not. In the current paper, we review existing literature and propose that in order to ascertain whether media multitasking is effective, it is important to determine (...) which goal/s are used as a reference point ; whether a person's intentions and subjective feelings or objective performance are considered ; and finally whether the short- or long-term consequences of media multitasking are considered. Depending on these differentiations, media multitasking can be seen as both a strategic behavior undertaken to accomplish one's goals and as a self-regulatory failure. The article integrates various findings from the areas of cognitive psychology, psychology of motivation, and human-computer interaction. (shrink)