According to Sternberg (Transformational giftedness. In T. L. Cross & P. Olszewski-Kubilius (Eds.), Conceptual frameworks for giftedness and talent development (pp. 203–234). Prufrock Press, 2020; Transformational vs. transactional deployment of intelligence. Journal of Intelligence, 9(15), 2021), transformationally gifted children are those who view to make a positive, meaningful, and enduring difference to the world. To reach their goal, they need competencies to deal with the complexities of the twenty-first century. This means: they must understand the features of complex problems to (...) develop solutions for them. What they need is a kind of critical thinking paired with systems competency, i.e., the ability to construct mental models of abstract systems, to form and test hypotheses about these systems, and to develop strategies for system identification and successful control of such systems. Also, a strong emphasis on values is needed. (shrink)

The discussion in Perspectives on Psychological Science about criteria for scholarly merit shows a potential bias of quantitative measurements compared with informed judgments of scholarly merits. This comment argues for a selection procedure that is open for qualitative arguments.

What are consequential world problems? As “grand societal challenges”, one might define them as problems that affect a large number of people, perhaps even the entire planet, including problems such as climate change, distributive justice, world peace, world nutrition, clean air and clean water, access to education, and many more. The “Sustainable Development Goals”, compiled by the United Nations, represent a collection of such global problems. From my point of view, these problems can be seen as complex. Such complex problems (...) are characterized by the complexity, connectivity, dynamics, intransparency, and polytely of their underlying systems. These attributes require special competencies for dealing with the uncertainties of the given domains, e.g., critical thinking. My position is that it is not IQ, but complex problem-solving competencies for dealing with complex and dynamic situations, that is important for handling consequential global problems. These problems require system competencies, i.e., competencies that go beyond analytical intelligence, and comprise systems understanding as well as systems control. Complex problem-solving is more than analytic intelligence. (shrink)

Complex problem solving (CPS) emerged in the last 30 years in Europe as a new part of the psychology of thinking and problem solving. This paper introduces into the field and provides a personal view. Also, related concepts like macrocognition or operative intelligence will be explained in this context. Two examples for the assessment of CPS, Tailorshop and MicroDYN, are presented to illustrate the concept by means of their measurement devices. Also, the relation of complex cognition and emotion in the (...) CPS context is discussed. The question if CPS requires complex cognition is answered with a tentative “yes.”. (shrink)

With the advent of computers in the experimental labs, dynamic systems have become a new tool for research on problem solving and decision making. A short review of this research is given and the main features of these systems (connectivity and dynamics) are illustrated. To allow systematic approaches to the influential variables in this area, two formal frameworks (linear structural equations and finite state automata) are presented. Besides the formal background, the article sets out how the task demands of system (...) identification and system control can be realised in these environments, and how psychometrically acceptable dependent variables can be derived. (shrink)

In the last 20 years, a stream of research emerged under the label of „complex problem solving“ (CPS). This research was intended to describe the way people deal with complex, dynamic, and intransparent situations. Complex computer-simulated scenarios were as stimulus material in psychological experiments. This line of research lead to subtle insights into the way how people deal with complexity and uncertainty. Besides these knowledge-rich, realistic, intransparent, complex, dynamic scenarios with many variables, a second line of research used more simple, (...) knowledge-lean scenarios with a low number of variables („minimal complex systems“, MCS) that have been proposed recently in problem-solving research for the purpose of educational assessment. In both cases, the idea behind the use of microworlds is to increase validity of problem solving tasks by presenting interactive environments that can be explored and controlled by participants while pursuing certain action goals. The main argument presented here is: both types of systems - CPS and MCS – can only be dealt with successfully if causal dependencies between input and output variables are identified and used for system control. System knowledge is necessary for control and intervention. But CPS and MCS differ in their way of how causal dependencies are identified and how the mental model is constructed; therefore, they cannot be compared directly to each other with respect to the cognitive processes that are necessary for solving the tasks. Knowledge-poor MCS tasks address only a small fraction of the cognitive processes and structures needed for knowledge-rich CPS situations. (shrink)

According to a classic position in analytic philosophy of mind, we must interpret agents as largely rational in order to be able to attribute intentional mental states to them. However, adopting this position requires clarifying in what way and by which criteria agents can still be irrational. In this paper I will offer one such criterion. More specifically, I argue that the kind of rationality methodologically required by intentional interpretation is to be specified in terms of psychological efficacy. Thereby, this (...) notion can be distinguished from a more commonly used notion of rationality and hence cannot be shown to be undermined by the potential prevalence of a corresponding kind of irrationality. (shrink)

English title: Józef Tischner’s Phenomenology of Boundary Experience. Author of the paper distinguishes four paradigms of phenomenological analysis one can indicate in Tischner’s philosophical writing. Each of these paradigms captures the issue of the genuine source of phenomenological experience. This genuine source can be provided with: transcendental ‘I’, axiological ‘I’, Dasein, or the relationship to another man. By developing the latter, i.e. the paradigm based on the experience of meeting (dialogue), Tischner makes the foundations for his Philosophy of Drama (in (...) Polish: Filozofia dramatu) which should be interpreted, as Piecuch argues, in terms of the possible ways to conduct phenomenological analysis. The peculiarity of this way is that it aims at grasping various aspects of the border experience in which a man experiences the limits of one’s own thinking, activity and sensing. (shrink)

Discussions of the implications of sexual reproduction have appeared throughout the history of evolutionary biology, from Darwin to Weismann, Fisher, Muller, Maynard Smith, and Williams. The latest of these appearances highlighted an evolutionary paradox that had previously been overlooked. In many animal and plant species reproduction is obligately sexual and also half the offspring are male, yet the males contribute nothing but genes to reproduction. If asexual mutants of such a species were to produce as many asexual offspring on average (...) as sexual females in that species produce daughters and sons, the growth rate of their population would be twice as large. Whereas half the offspring of sexual females are noncontributory males, all the offspring of such an asexual mutant would contribute to growth rate. Nevertheless, sexual reproduction prevails in most species and is not lost evolutionarily. (shrink)

Since intelligent design (ID) advocates claimed the ubiquitous mouse trap as an example of systems that cannot have evolved, mouse trap history is doubly relevant to studying material culture. On the one hand, debunking ID claims about mouse traps and, by implication, also about other irreducibly complex systems has a high educational value. On the other hand, a case study of mouse trap history may contribute insights to the academic discussion about material culture evolution. Michael Behe argued that mouse traps (...) cannot trap mice with any part missing; therefore, they cannot have a precursor with one part less, therefore, cannot have a continuous history, and therefore, cannot have evolved. The patented and seminal precursor of current flat snap traps, however, had one part less, because spring and striker were formed of one wire. Secondly, historical records that reach back into the Bronze Age suggest that its history continued for a very long time. Thirdly, all prerequisites for evolution (variation, transmission, and selection) abound in mouse trap populations. Hence, Behe’s triple-jump conclusion about mouse traps is false each step. There is no, in principle, impossibility for mouse traps to evolve. An evolutionary account of mouse trap history also has academic merits beyond its educational value. Three important conclusions can be drawn: (1) reticulate phylogenies of artifact systems may be resolvable as overlapping, but branching, phylogenies of parts; (2) homologous ideas may be realized by analogous material, that is, phylogenies of information do not necessarily coincide with those of material parts; (3) recombination of parts between different artifact systems increases the cumulative nature of cultural evolution. (shrink)

In 1935, A. G. Tansley, who was knighted later, proposed the ecosystem concept. Nevertheless, this concept was not without predecessors. Why did Tansley’s ecosystem prevail and not one of its competitors? The purpose of this article is to pin the distinguishing features of Tansley’s ecosystem down, as far as the published record allows. It is an exercise in finding the difference that made a difference. Besides being a pioneering ecologist, Tansley was an adept of psychoanalysis. His interest even led him (...) to visit Sigmund Freud in Vienna for a while. Psychologists had to regard the mind as an entity in its own right, while knowing that it truly was part of a larger whole (body + mind), because the causal relation between body and mind was unknown. This lead Tansley to conclude that psychologists must not objectify the system under study, have to search for causes within their own field, and must not speculate unless this serves a scientific purpose. In 1925, Tansley defended psychoanalysis in a prolonged controversy against a concerted attack criticizing its speculative content and poor scientific standing. This could have been the reason why Tansley kept his ecosystem free of speculative content and unscientific connotation. The competing ecosystem-like concepts, however, have contained philosophical speculation, non-deterministic properties like vitalism or entelechy, or have been burdened with unscientific connotations. Hence, rigorous restraint distinguished the ecosystem concept and made it ready for use by later researchers. (shrink)

This chapter proceeds from the standard picture of the relation between intuitions and experimental philosophy: the alleged evidential role of intuitions about hypothetical cases, and experimental philosophy’s challenge to these judgments, based on their variation with philosophically irrelevant factors. I will survey some of the main defenses of this standard picture against the x-phi challenge, most of which fail. Concerning the most popular defense, the expertise defense, I will draw the bleak conclusion that intuitive expertise of the envisaged kind is (...) largely a myth. Next, I will consider the mischaracterization objection, which has mainly been developed by Deutsch and Cappelen on the basis of textual evidence: that philosophers do not appeal to intuitions as evidence for their case judgments, but instead argue for them. This would render the x-phi challenge mostly irrelevant, due to its focus on intuitions about hypothetical cases. I will then consider a few instructive replies to the mischaracterization objection, which are all unconvincing on further inspection. Finally, I will discuss some potential normative consequences of the mischaracterization objection, and I will argue that it recommends a shift away from the excessive focus on intuitions about cases in metaphilosophy and experimental philosophy, towards more work on the role of argumentation in the method of cases. More speculatively, I claim that philosophers should always argue for their case judgments, even if they have strong intuitions about them, because an argument-based methodology would be more transparent and philosophically fruitful than one that mainly relies on intuition. (shrink)

The basis of analyzes carried out in the article is the work of Bernhard Welte: Meister Eckhart. Gedanken zu seinen Gedanken. The central subject of research is the idea Abgeschiedenheit (“isolation”). Following the interpretation of Welte it has been considerated a phenomeno‐ logical description on two ways. From the practical experience, as a modus vivendi a religious man, and from the theoretical, as speculative thought. Theoretical considerations consist of analysis of the concept of truth and goodness, which Eckhart identifies with (...) the idea of God. Welte shows that these concepts of medieval thinker at the starting point considerations are still sink in the schemes of metaphysical thinking, but in the next stages of its argumentation he overcome metaphysical discourse. The purpose of the article, guided by the suggestion Weltes interpretation, is to show ways of reaching the source forms of religious experience. At the same time the text raised the issue of problematic use formulas of mystical union and noticed parallels have been taking place between the method of phenomenological reduction and the idea of Abgeschiedenheit. (shrink)

In his “On the Metaphysics of Knowledge” (this volume), Sven Bernecker presents a novel ‘identificationist’ account of knowledge. In this paper, I will not directly address the epistemological adequacy of Bernecker’s identificationism. Rather, I want to focus on its substantial metaphysical commitments, especially on the problematic idea that our epistemic reasons identify the truthmaker of our respective belief when we know something. My conclusion will be that being a truthmaker for p is metaphysically more demanding than being an epistemic reason (...) for p. A truthmaker for p must necessitate the truth of p, while an epistemic reason for p must merely indicate the truth of p. Thus, we should not expect that epistemic reasons identify the truthmakers of our knowledge-constituting beliefs in the way Bernecker suggests. (shrink)

Myśl fryburskiego filozofa religii, Bernharda Weltego, wielokrotnie dotykała zagadnienia nicości. Artykuł prezentuje funkcje, jaką Welte przypisał idei nicości w kontekście doświadczenia konstytutywnego, wyznaczającego podstawową charakterystykę ludzkiej egzystencji. Doświadczenie konstytutywne pociąga za sobą przenikanie się czyjejś skończoności z nieskończonością. Ta pierwsza wyraża się w byciu świadomym własnej śmiertelności i winy, ta druga w aktywności ludzkiego ducha, szczególnie w odczuwaniu obowiązku. Bycie człowieka sytuuje się między tymi przeciwstawnymi siłami, poszukuje sensu swojej egzystencji. Jednocześnie stwarza ono różne relacje, jakie mogą między nimi zachodzić. (...) Ich porządek może prowadzić do afirmacji bądź negacji czyjejś egzystencji. Jeżeli dodamy do owych relacji doświadczenie nicości (wraz z jej specyfiką), to tworzą one razem akt wyboru między afirmacją a negacja bardziej przypominający ostateczny wybór między nadzieją a rozpaczą. (shrink)

PurposeIn this article, we aim to present and defend a contextual approach to mathematical explanation.MethodTo do this, we introduce an epistemic reading of mathematical explanation.ResultsThe epistemic reading not only clarifies the link between mathematical explanation and mathematical understanding, but also allows us to explicate some contextual factors governing explanation. We then show how several accounts of mathematical explanation can be read in this approach.ConclusionThe contextual approach defended here clears up the notion of explanation and pushes us towards a pluralist vision (...) on mathematical explanation. (shrink)

Most philosophers believe that testimony is not a fundamental source of knowledge, but merely a way to transmit already existing knowledge. However, Jennifer Lackey has presented some counterexamples which show that one can actually come to know something through testimony that no one ever knew before. Yet, the intuitive idea can be preserved by the weaker claim that someone in a knowledge-constituting testimonial chain has to have access to some non-testimonial source of knowledge with regard to what is testified. But (...) even this weaker claim has a counterexample which I develop in close connection with a safety-account of knowledge. Thus, testimonial statements can sometimes enable us to know something for which none of our informants has any source of knowledge available. I conclude that my counterexample nevertheless does not affect the core of our intuitions about testimony, although it establishes that testimony can indeed be a fundamental source of knowledge. (shrink)

In this paper, we bring together research on complex problem solving with that on motivational psychology about goal setting. Complex problems require motivational effort because of their inherent difficulties. Goal Setting Theory has shown with simple tasks that high, specific performance goals lead to better performance outcome than do-your-best goals. However, in complex tasks, learning goals have proven more effective than performance goals. Based on the Zurich Resource Model, so-called motto-goals should activate a person’s resources through positive affect. It was (...) found that motto-goals are effective with unpleasant duties. Therefore, we tested the hypothesis that motto-goals outperform learning and performance goals in the case of complex problems. A total of N = 123 subject participated in the experiment. In dependence of their goal condition, subjects developed a personal motto, learning, or performance goal. This goal was adapted for the computer-simulated complex scenario Tailorshop, where subjects worked as managers in a small fictional company. Other than expected, there was no main effect of goal condition for the management performance. An unexpected gender effect revealed better performance for men than women, pointing to a potential stereotype threat. As hypothesized, motto goals led to higher positive and lower negative affect than the other two goal types. Even though positive affect decreased and negative affect increased in all three groups during Tailorshop completion, participants with motto goals reported the lowest rates of negative affect. Exploratory analyses investigated the role of affect in complex problem solving via mediational analyses and the influence of goal type on perceived goal attainment. (shrink)

How people understand the fundamental dynamics of stock and flow is an important basic theoretical question with many practical applications. In this paper, we present a universal frame for understanding stock-flow reasoning in terms of the theory of force dynamics. This deep-level analysis is then applied to two different presentation formats of SF tasks in the context of climate change. We can explain why in a coordinate-graphic presentation misunderstandings occur, whereas in a verbal presentation a better understanding is found. We (...) end up with recommendations for presentation formats that will help people to better understand SF dynamics. Better public SF understanding might in turn also enhance corresponding public action – such as enhancing pro-environmental actions in relation to climate change. (shrink)

We focus on the thesis that action understanding is a function of the mirror neuron system. According to our opinion, understanding is a process that runs through hermeneutic circles from the “Vorverständnis” (“previous understanding”) to steps of deeper understanding. Our critique relates to the narrow neuroscientific definition of action understanding as the capacity to recognize several movements as belonging to one action. After a reconstruction of the model's developments, we will challenge the claims of the model by Rizzolatti and Sinigaglia (...) (2010). By analyzing the relation between the experimental results and its interpretation, we will conclude that there is no proof that mirror neuron activity leads to action understanding. (shrink)

This new, inexpensive translation of Plato's Apology of Socrates is an alternative to the 19th-century Jowett translation that students find online when they're trying to save money on books. Using the 1995 Oxford Classical Text and the commentaries of John Burnet and James Helm, I aimed to produce a 21st-century English translation that is both true to Plato's Greek and understandable to college students in introductory philosophy, political theory, and humanities courses. The book also includes a new translation (...) of the death scene from Plato's Phaedo, a short introduction, a dozen explanatory notes, advice on how to cite Plato in papers, and suggestions for further reading. Search for "Plato Armstrong" in Apple Books (epub ISBN 9781957448022) and Amazon (paperback ISBN 9781957448008, Kindle ISBN 9781957448015). (shrink)

How people understand the fundamental dynamics of stock and flow (SF) is an important basic theoretical question with many practical applications. Such dynamics can be found, for example, in monitoring one’s own private bank account (income versus expenditures), the state of a birthday party (guests coming versus leaving), or in the context of climate change (CO2 emissions versus absorption). Understanding these dynamics helps in managing everyday life and in controlling behavior in an appropriate way (e.g., stopping expenditures when the balance (...) of a bank account approaches zero). In this paper, we present a universal frame for understanding stock-flow reasoning in terms of the theory of force dynamics. This deep-level analysis is then applied to two different presentation formats of SF tasks in the context of climate change. We can explain why in a coordinate-graphic presentation misunderstandings occur (so called “SF failure”), whereas in a verbal presentation a better understanding is found. We end up with recommendations for presentation formats that we predict will help people to better understand SF dynamics. Better public SF understanding might in turn also enhance corresponding public action – such as enhancing pro-environmental actions in relation to climate change. (shrink)

This paper provides new tools for philosophical argument analysis and fresh empirical foundations for ‘critical’ ordinary language philosophy. Language comprehension routinely involves stereotypical inferences with contextual defeaters. J.L. Austin’s Sense and Sensibilia first mooted the idea that contextually inappropriate stereotypical inferences from verbal case-descriptions drive some philosophical paradoxes; these engender philosophical problems that can be resolved by exposing the underlying fallacies. We build on psycholinguistic research on salience effects to explain when and why even perfectly competent speakers cannot help making (...) stereotypical inferences which are contextually inappropriate. We analyse a classical paradox about perception, suggest it relies on contextually inappropriate stereotypical inferences from appearance-verbs, and show that the conditions we identified as leading to contextually inappropriate stereotypical inferences are met in formulations of the paradox. Three experiments use a forced-choice plausibility-ranking task to document the predicted inappropriate inferences, in English, German, and Japanese. The cross-linguistic study allows us to assess the wider relevance of the proposed analysis. Our findings open up new perspectives for ‘evidential’ experimental philosophy. (shrink)

Wie kann es gelingen, dem wissenschaftlichen Streben in der Psychologie eine Ordnung zu geben? In dem Buch werden zwei Perspektiven eingenommen: Zunächst blickt die Philosophie auf die Möglichkeit einer theoretischen Psychologie in Hinsicht auf anthropologische und wissenschaftstheoretische Voraussetzungen, dann die Experimentalpsychologie auf die Möglichkeit guter Theoriebildung. Der dritte Teil des Buches ist der Versuch einer Synthese, in dem der philosophisch-psychologische Perspektivenpluralismus als Programm vorgeschlagen wird, die Richtungen, in die der Fortschritt der Disziplin erfolgt, kritisch zu begleiten.

The assumption that positive affect leads to a better performance in simple cognitive tasks has become well established. We address the question whether positive and negative emotions differentially influence performance in complex problem-solving in the same way. Emotions were induced by positive or negative feedback in 74 participants who had to manage a computer-simulated complex problem-solving scenario. Results show that overall scenario performance is not affected, but positive and negative emotions elicit distinguishable problem-solving strategies: Participants with negative emotions are more (...) focused on the seeking and use of information. We discuss methodological requirements for investigating emotion influences in complex and dynamic cognitive tasks. (shrink)

The ascription of desires or beliefs to other people is a milestone of human sociality. It allows us to understand, explain, and predict human behaviour. During the last years, research on children's knowledge about the mental world, better known as theory of mind research, has become a central topic in developmental psychology and the role of cultural impact is subject of various theoretical yet hitherto few empirical accounts. This book is the result of intensive collaboration between anthropologists and psychologists in (...) the field of cross-cultural research on social cognitive development. Five interdisciplinary research teams, coming from the University of Heidelberg, were investigating five Pacific Island societies. All together, they were interested in the question of how and when children in these different cultures come to assign mental states to others. This unique research project combines sound ethnography of different Pacific cultures with thoroughly conducted experimental work, done by developmental psychologists; it presents a shared, thoughtful analysis of the results and provides deeper insight into current debates on the ontogeny of theory of mind competencies. (shrink)

When two actors have the same mental state but one happens to harm another person (unlucky actor) and the other one does not (lucky actor), the latter elicits a milder moral judgement. To understand how this outcome effect would affect post-harm interactions between victims and perpetrators, we examined how the social role from which transgressions are perceived moderates the outcome effect, and how outcome effects on moral judgements transfer to agentic and communal interpersonal goals. Three vignette experiments (N = 950) (...) revealed similar outcome effects on moral judgement across social roles. In contrast, outcome effects on agentic and communal goals varied by social role: victims exhibited the strongest outcome effects and perpetrators the weakest, with bystanders falling in between. Moral judgement did not mediate the effects of outcome severity on interpersonal goals. We discuss the possibility that outcome severity raises normative expectations regarding post-harm interactions that are unrelated to moral considerations. (shrink)

The assumption that positive affect leads to a better performance in simple cognitive tasks has become well established. We address the question whether positive and negative emotions differentially influence performance in complex problem-solving in the same way. Emotions were induced by positive or negative feedback in 74 participants who had to manage a computer-simulated complex problem-solving scenario. Results show that overall scenario performance is not affected, but positive and negative emotions elicit distinguishable problem-solving strategies: Participants with negative emotions are more (...) focused on the seeking and use of information. We discuss methodological requirements for investigating emotion influences in complex and dynamic cognitive tasks. (shrink)

Die vorliegende Arbeit untersucht Möglichkeiten und Grenzen der Verwendung von einfachen konnektionistischen Systemen als Modelle für den Erwerb und die Repräsentation von Wissen über zeitdiskrete lineare dynamische Systeme in der Kognitionspsychologie. Ein ausgewähltes dynamisches System namens SINUS wird in Form eines „pattern associators“ repräsentiert und dessen Lernverhalten untersucht. Es wird versucht, daraus Annahmen über den Wissenserwerb von Probanden im Umgang mit solchen dynamischen Systemen abzuleiten, um insbesondere Hinweise darauf zu erhalten, was „gute“ von „schlechten“ Probanden unterscheidet. Ein weiterer hier betrachteter (...) Aspekt ist die Steuerung eines dynamischen Systems in einen vorgegebenen Zielzustand, der unter Beibehaltung des konnektionistischen Modells durch einen variierten Lernalgorithmus modelliert wird. Die abschließende Diskussion geht auf die Bedeutung der Modellierung für die kognitionspsychologische Theorienbildung ein. (shrink)

In contrast to the successful previous year, 2020 turned out to be difficult, not only for the earth’s population due to COVID-19 but also for JDDM with an unusually small sixth volume. Looking back at these two very different years back-to-back led us to some reflection: As the COVID-19 pandemic forcefully illustrates, dynamic decision-making with all its complications and uncertainty is a topic of high relevance for modern societies.

Complex problem solving (CPS) and related topics such as dynamic decision-making (DDM) and complex dynamic control (CDC) represent multifaceted psychological phenomena. In a broad sense, CPS encompasses learning, decision-making, and acting in complex and dynamic situations. Moreover, solutions to problems that people face in such situations are often generated in teams or groups. In turn, this adds another layer of complexity to the situation itself because of the emerging issues that arise from the social dynamics of group interactions. This framing (...) of CPS means that it is not a single construct that can be measured by using a particular type of CPS task (e.g. minimal complex system tests), which is a view taken by the psychometric community. The proposed approach taken here is that because CPS is multifaceted, multiple approaches need to be taken to fully capture and understand what it is and how the different cognitive processes associated with it complement each other. (shrink)

This study is about the Quality. Here I have dealt with the quality that differs significantly from the common understanding of quality /as determined quality/ that arise from the law of dialectics. This new quality is the quality of the quantity /quality of the quantitative changes/, noticed in philosophy by Plato as “quality of numbers”, and later developed by Hegel as “qualitative quantity. The difference between the known determined quality and qualitative quantity is evident in the exhibit form of (...) these two qualities. The exhibit form of the known determined quality from the law of dialectics /or it transformation/ is related with discreteness and abrupt changes. The exhibit form of the qualitative quantity /and it transformation/ is related with the continuity and gradual transition from one condition, to a different condition, without any abrupt changes. In my paper “Quality of the quantity”, I have argued that one of the most ancient implementation of quality of the number can be found in the dimensional mathematical model of point – line – surface – figure - introduced by Plato. The most whole presentation of the idea of quality of number in Plato is embeded in his teaching about the "eidical number". The quality of the quantity emerges as criteria for recognizing the difference between the eidical numbers and natural arithmetical number. The thesis concerning Plato is based on the The Unwritten Doctrine of Plato and one of the most original works in the history of philosophy written in the 20th century - “Arete bei Platon und Aristoteles” – “Arete in Plato and Aristotle” /Heidelberg 1959/ written by Hans Joachim Krämer. The new quality as the quality of the quantity /quality of the quantitative changes/, first noticed in philosophy by Plato as “quality of numbers” was developed in Hegel as “qualitative quantity”. Hegel proclaimed the Qualitative quantity, or Measure in the both of his Logics -The Science of Logic / the Greater Logic/ and The Lesser Logic/ Part One of the Encyclopedia of Philosophical Sciences: The Logic. In my paper I have offered the arguments that the concept of quality of the quantity should be enhanced with the adopted methodological approach of analogy with an implementation in the field of the Topology - Analysis Situs, developed by the Jules Henri Poincare. In the topology we could see homeomorphism as exhibit form of Quality on the Quantity. The explicit form of the quality of the quantity transformation is the continuous deformation – typically known in topology as homeomorphism. The concept of qualitative quantity is linked with the concept “structural stability” and nonequilibrum phase transition. The concept of structural stability is related with the topological homeomorphism. In his book “Synergetics: Introduction and Advanced Topics” /Springer, ISBN 3-540-40824/, in the Chapter 1.13. Qualitative Changes: General approach, p. 434-435, Hermann Haken explores and illustrate the structural stability with an example /figure 1.13, p.434/ given by of D'Arcy W. Thompson, the Scottish biologist, mathematician and classics scholar and pioneering mathematical biologist, Nobel Laureate in Medicine /1960/, the author of the book, On Growth and Form, /1917/. The quality of the quantity could be seen in the Herman Haken’s citation on the D'Arcy W. Thompson. My thesis is that the topological homeomorphism is the explicit form of the quality of the quantity transformation. The qualitative quantity change which becomes phenomenon, according to Émile Boutroux, is the subject of study in Cultural Phenomenology of Qualitative quantity. Our approach to this subject is Poincaré Model of the Subconscious Mind in Mathematics, which is the most suitable tool to unfold the arhetype of qualitative quantity. (shrink)

Plato’s Ion is primarily ethical rather than epistemological, investigating the implications of transgressing one’s own epistemic limits. The figures of Socrates and Ion are juxtaposed in the dialogue, Ion being a laughable, comic, ethically inferior character who cannot recognize his own epistemic limits, Socrates being an elevated, serious, ethically superior character who exhibits disciplined epistemic restraint. The point of the dialogue is to contrast Ion’s laughable state with the serious state of Socrates. In this sense, the dialogue’s central argument (...) is performative rather than demonstrative. (shrink)

In the Republic, Phaedrus, and Timaeus, Socrates holds that the psyche is complex, or has three distinct and semi-autonomous sources of motivation, which he calls the reasoning, spirited, and appetitive parts. While the rational part determines what is best overall and motivates us to pursue it, the spirited and appetitive parts incline us toward different objectives, such as victory, honor, and esteem, or the satisfaction of our desires for food, drink, and sex. While it is obvious that Socrates primarily characterizes (...) and distinguishes the parts in terms of what each desires and pursues, what is less often brought to the fore is that he also characterizes and distinguishes the parts in terms of how they think. More specifically, he claims that the rational part forms its beliefs on the basis of rational calculation, while the spirited and appetitive parts form their beliefs on the basis of how things appear, without scrutinizing those appearances. Socrates’ dual characterization of the parts of the soul raises a question: why does he characterize each part as having the particular desires and cognitive abilities that he does? In general, how do facts about what a part desires relate to facts about how it thinks? In this paper, I suggest an answer to this question, one that I hope sheds light on the nature of the parts of the soul and so on Plato’s theory of tripartition more generally. I conclude by showing that Socrates’ theory bears a notable resemblance to contemporary dual process theories of judgment, according to which we have two distinct processes for forming judgments, one which is broadly akin to reflection and another to intuition. (shrink)

In Republic V Socrates offer three successive waves of paradox, the first being that amongst the rulers men and women will be assigned to fulfill the same social functions and the second being that amongst the rulers the traditional private family will be abolished. In her article “Philosopher Queens and Private Wives: Plato on Women and the Family” (Philosophy and Public Affairs (1977)) Susan Moller Okin argued that Plato’s argument is that the second wave of paradox implies the (...) first. In this note I rebut Okin’s arguments and show, in part based on evidence adduced by Okin herself, that for Plato it is the first wave of paradox that implies the second. (shrink)

This paper responds to two trends in debates about Plato's view of women in the Republic. First, many scholars argue or assume that Plato seeks to minimize the influence of femininity in the ideal city, and to make guardian women themselves as “masculine” as possible. Second, scholars who address the relationship between Plato's views of women and his psychological theory tend to focus on the reasoning and appetitive parts of the tripartite soul. In response to the first (...) point, we argue that the idea that Plato seeks to masculinize/de-feminize the city oversimplifies his treatment of Greek gender norms. Although he does want to eliminate some traditionally feminine qualities from the city, he also seeks to eliminate many masculine qualities as well. Moreover, while he tries to make guardian women more like men in some respects, he simultaneously aims to make guardian men more like Greek women in important ways. Regarding the second point, we argue that this project of reimagining gender norms is illuminated by Plato's psychology, but instead of emphasizing reason and appetite, we show how his views are connected to his account of the third, “spirited” part of the soul, thumos, and its dual hard/soft or aggressive/gentle nature. (shrink)

This article concerns the place of Plato’s eschatology in his philosophy. I argue that the theory of reincarnation appeals to Plato due to its power to explain how non-human animals came to be. Further, the outlines of this theory are entailed by other commitments, such as that embodiment disrupts psychic functioning, that virtue is always rewarded and vice punished, and that the soul is immortal. I conclude by arguing that Plato develops a view of reincarnation as the (...) chief tool that the gods have to ensure that virtue is victorious over vice throughout the whole cosmos. (shrink)

Plato's Phaedo is a literary gem that develops many of his most famous ideas. David Ebrey's careful reinterpretation argues that the many debates about the dialogue cannot be resolved so long as we consider its passages in relative isolation from one another, separated from their intellectual background. His book shows how Plato responds to his literary, religious, scientific, and philosophical context, and argues that we can only understand the dialogue's central ideas and arguments in light of its overall (...) structure. This approach yields new interpretations of the dialogue's key ideas, including the nature and existence of 'Platonic' forms, the existence of the soul after death, the method of hypothesis, and the contemplative ethical ideal. Moreover, this comprehensive approach shows how the characters play an integral role in the Phaedo's development and how its literary structure complements Socrates' views while making its own distinctive contribution to the dialogue's drama and ideas. (shrink)

Plato is often acknowledged as the first philosophical critic of democracy and his Republic is regularly taken as a paradigm of an anti-democratic work. While it is true that Plato objected to much about the democracy of his own time, Plato’s political theorizing also reveals an interest in improving democratic institutions. This chapter explores three themes in Plato’s thinking about democracy: firstly, Plato's insistence that rulers should be knowledgeable and his claim that most people are (...) politically incompetent (§1); secondly, Plato's criticisms of oratory and the corrupting effects of public rhetoric (§2); thirdly, Plato's use of democratic institutions in the Laws (§3). Once we appreciate these different evaluations of democratic practices, we can see that Plato was not simply ‘anti-democratic’ or ‘pro-democratic’ but thought some democratic practices should be abandoned, some reformed, and some adopted. (shrink)

This commentary records, through notes taken by Hermias, Syrianus' seminar on Plato's Phaedrus, one of the world's most influential celebrations of erotic beauty and love. It is the only Neoplatonic commentary on Plato's Phaedrus to have survived in its entirety. Further interest comes from the recorded interventions by Syrianus' pupils - including those by Proclus, his eventual successor as head of the Athenian school, who went on to teach Hermias' father, Ammonius. The second of two volumes of Hermias' (...) commentary, the chapters translated here begin with a discussion of how the discarnate soul is visualised as a winged chariot team whose charioteer may gain some glimpse of beauty itself, which can explain subsequent erotic longing. This volume provides a translation is accompanied by explanatory notes, an introduction detailing the significance and context of the treatise and a scholarly apparatus including multiple indexes, glossaries and a bibliography. (shrink)

This is a proposal for rethinking the main lines of Plato’s philosophy, including some of the conceptual tools he uses for building and maintaining it. Drawing on a new interpretive paradigm for Plato’s overall vision, the central focus is on the so-called Forms. Regarding the guiding paradigm, we propose replacing the dualism of a world of Forms separated from a world of particulars, with the monistic model of a hierarchically structured universe comprising interdependent levels of reality. Regarding the (...) tools of the trade, we distinguish between three constructs that have come, one and all, and largely indiscriminately, to be regarded as Forms: Ideal Forms, Conceptual Forms, and Relational Forms. This recalibration of what we know of Plato’s outlook, tools, and methods, together with a realignment of these with his general aims, will also help restore the philosopher’s emphasis on that which is good, a perspective often blurred in the structure of two worlds. (shrink)

A new reading of Plato's account of conventionalism about names in the Cratylus. It argues that Hermogenes' position, according to which a name is whatever anybody 'sets down' as one, does not have the counterintuitive consequences usually claimed. At the same time, Plato's treatment of conventionalism needs to be related to his treatment of formally similar positions in ethics and politics. Plato is committed to standards of objective natural correctness in all such areas, despite the problematic consequences (...) which, as he himself shows, arise in the case of language. (shrink)

The figure of the cordial host of the Academy, who invited the most gifted mathematicians and cultivated pure research, whose keen intellect was able if not to solve the particular problem then at least to show the method for its solution: this figure is quite familiar to students of Greek science. But was the Academy as such a center of scientific research, and did Plato really set for mathematicians and astronomers the problems they should study and methods they should (...) use? Our sources tell about Plato's friendship or at least acquaintance with many brilliant mathematicians of his day (Theodorus, Archytas, Theaetetus), but they were never his pupils, rather vice versa -- he learned much from them and actively used this knowledge in developing his philosophy. There is no reliable evidence that Eudoxus, Menaechmus, Dinostratus, Theudius, and others, whom many scholars unite into the group of so-called "Academic mathematicians," ever were his pupils or close associates. Our analysis of the relevant passages (Eratosthenes' Platonicus, Sosigenes ap. Simplicius, Proclus' "Catalogue of geometers", and Philodemus' "History of the Academy", etc.) shows that the very tendency of portraying Plato as the architect of science goes back to the early Academy and is born out of interpretations of his dialogues. (shrink)

Plato's Theaetetus discusses and ultimately rejects Protagoras's famous claim that "man is the measure of all things." The most famous of Plato's arguments is the Self-Refutation Argument. But he offers a number of other arguments as well, including one that I call the 'Future Argument.' This argument, which appears at Theaetetus 178a−179b, is quite different from the earlier Self-Refutation Argument. I argue that it is directed mainly at a part of the Protagorean view not addressed before , namely, (...) that all beliefs concerning one's own future sensible qualities are true. This part of the view is found to be inconsistent with Protagoras's own conception of wisdom as expertise and with his own pretenses at expertise in teaching. (shrink)

The Parmenides is arguably the pivotal text for understanding the Platonic corpus as a whole. I offer a critical analysis that takes as its key the closely constructed dramatic context and mimetic irony of the dialogue. Read with these in view, the contradictory characterizations of the "one" in the hypotheses dissolve and reform as stages in a systematic response to the objections that Parmenides earlier posed to the young Socrates' notions of forms and participation, potentially liberating Socrates from his dependence (...) on sensible simile and yielding a distinctively conceptual articulation of the difference and relation of forms and their sensible participants. The dialogue as a whole thereby functions as the means for the "conversion" of the soul to eidetic being for which Plato has the elder Socrates call in Republic VII. (shrink)

This paper defends an interpretation of Plato, Soph. 259c7–d7, which describes a distinction between genuine and pretender forms of ‘examination’ or ‘refutation’ (ἔλεγχος). The passage speaks to a need, throughout the dialogue, to differentiate the truly philosophical method from the merely eristic method. But its contribution has been obscured by the appearance of a textual problem at 259c7–8. As a result, scholars have largely not recognized that the Eleatic Stranger recommends accepting contrary predication as a condition of genuine refutation. (...) After reviewing various proposals to change the text, the paper defends this reading. Finally, the paper turns to the methodological significance of accepting contrary predication. The dialogue depicts contrary predication as an instance of a class of statements that compel the soul's disbelief. Soph. 259c7–d7 suggests that these kinds of statements are a crossroad: one can either reject them and turn to eristic discourse or accept them and practise genuine refutation. The paper reflects on what this indicates about Plato's meditations on contradiction and philosophy. (shrink)