The frame concept from linguistics, cognitive science and artificial intelligence is a theoretical tool to model how explicitly given information is combined with expectations deriving from background knowledge. In this paper, we show how the frame concept can be fruitfully applied to analyze the notion of mathematical understanding. Our analysis additionally integrates insights from the hermeneutic tradition of philosophy as well as Schmid’s ideal genetic model of narrative constitution. We illustrate the practical applicability of our theoretical analysis through a case (...) study on extremal proofs. Based on this case study, we compare our analysis of proof understanding to Avigad’s ability-based analysis of proof understanding. (shrink)

A sharp distinction between the notions of explanation and understanding is more than relevant for contemporary philosophy. However, it is difficult to understand the current state and prospects of this terminological distinction without considering its origins. The author finds such origins in the field of philosophy and methodology of science of the nineteenth century. One cannot grasp the meaning of explanation and understanding in philosophy without considering the ordinary meanings since both notions are also actively used in the ordinary language. (...) Hence, this paper has a twofold aim. Firstly, it investigates the meaning of explanation and understanding in everyday use. Secondly, it considers the origin of the distinction between the notions in philosophy. It is proven that the origin of the explanation in philosophy can be seen in Auguste Comte’s philosophy of science, namely in the first volume of The Course in Positive Philosophy published in 1830. There Comte introduces the notion of explanation in the context of the law of three stages, as well as the notion of positive explanation which makes positive knowledge or science different from the previous stages of knowledge. As for the origin of understanding in philosophy, it is found in Droysen’s philosophy of history, namely in The Outline of the Principles of History, where Droysen makes a distinction between understanding, which is used in history, and explanation that was discussed by Comte. Consequently, explanation and understanding, after being introduced to philosophy by Comte and Droysen, become the central notions of Dilthey’s well-known methodological distinction between natural sciences and humanities. Manuscript received 16.02.2020. (shrink)

The framework of the modern Western analysis of culture, in terms of the socio-historical situation of the subject and the reciprocal influence of one on the other, has its roots in nineteenth century discussions. This paper will examine two traditions: the hermeneutic approach of Wilhelm Dilthey, and the Völkerpsychologie of Moses Lazarus and Chajim Steinthal. The account will focus on two elements. First, Lazarus and Steinthal attempted to motivate an account based on collective structures, or forms, of rationality made manifest (...) by a people or Volk; the paper will explore their account of how collective structures can be employed in sociohistorical analysis. Second, Dilthey rejected Lazarus’s and Steinthal’s argument that it was possible to identify the norms of action governing social phenomena. Dilthey rejected any account of psychology that took it to be law-governed, even retrospectively, because he argued that the ‘nexus of life’ that is the ultimate basis of the human sciences cannot be reduced to any law-governed or explanatory relationship between the self, society, and nature. However, there is a deep tension in Dilthey’s position here, which is evident in the development of his work over time. The account below will explore this tension and its significance for the understanding of the subject and the role of psychology in the human sciences. (shrink)

Understanding is an ability manifested by grasping relations of a phenomenon and articulating new explanations. Hence, scientific understanding is inextricably intertwined with and not possible without explanation, and understanding is not a type of propositional knowledge. Anna Elisabeth Höhl provides a novel philosophical account of scientific understanding by developing and defending necessary and sufficient conditions for the understanding that scientists achieve of the phenomena they are researching. This account of scientific understanding is based on and supported by a detailed investigation (...) of an episode from scientific practice in biology. (shrink)

The distinction between explanation and understanding was foundational to Jaspers’ ‘phenomenological’ approach to psychiatry. It makes sense that those now calling for a phenomenological approach to psychiatry would look to Jaspers for inspiration, and that in doing so, they would take up this distinction. However, I argue that it is and was a mistake to use the distinction in work on psychiatry: adhering to the distinction now would undermine, rather than support, the goals of those advocating a phenomenological approach to (...) psychiatry; furthermore, if the distinction had been adhered to, then contemporary psychiatry and its patients would be worse off. (shrink)

This article examines Cohen’s “transcendental method”, Windelband’s “critical method”, the neo-Kantian distinctions between natural science and the humanities (i. e., human or cultural sciences), and Weber’s account of ideal-typical explanations. The Marburg and the Southwest Schools of neo-Kantianism have in common that their respective philosophies of science focused on method, but they substantially differ in their approaches. Cohen advanced the “transcendental method”, which was taken up and transformed by Natorp and Cassirer; later, it became influential in neo-Kantian approaches to 20th (...) century physics. Windelband distinguished between facts and values, linking the former to the “genetic” method of history and the latter to the “critical” method of philosophy; and between the “nomothetic” and “idiographic” methods of the empirical sciences, a distinction further elaborated by Rickert. The distinction does not give rise to a sharp discrimination but is rather what Weber would later call an ideal type. All these approaches contribute in different ways to understanding the structure of scientific knowledge, focusing on different aspects of the general path of the empirical sciences between rationalism and empiricism. (shrink)

The main research question that this paper aims to answer is: ‘In what does today’s attack on humanities consist and how can humanities be defended?’ In order to answer this research question, one needs first to describe how the humanities have argued for their usefulness before the Bologna Process; second, provide reasons for the claim that the Bologna Process would be a new type of attack; and third, analyse the new defences for the humanities, so as to discuss whether these (...) are suitable. The main finding of this study was to show that, before deciding what type of education society needs, we need to understand who we are educating through our universities. Taking a stance on “who should we educate?” is prior to being able to judge educational policies. This decision requires a previous justification that requires arguments taken from the field of social justice: Who needs to be educated and who has the right to be educated? Furthermore, we have seen that all answers we have examined to the question underlying educational policies, i.e. ‘who is being educated?’, were linked at some level with the citizenship issue. By defining who is a full citizen, an answer to the question who had the right to a humanistic education was implicitly answered. Nussbaum’s project to universalise the definition of democratic citizenship would ensure a basis for providing humanistic education for all. Such a line of arguing would provide humanities to the well-regarded status they had starting from the Renaissance times, but this time not as a device for exclusion, but inclusion for all. We have tried to show that, by defending the humanities, one defends the idea of a plurality of educational purposes, the right to build one’s life based on an education that is not submitted to the political goals of the day, ultimately the right to have a dissenting voice and a different perspective on life. By defending humanities, one defends the true ‘usefulness’ of education, namely its potential for constructing democratic citizenship for all. (shrink)

I would like to begin my thesis with a general overview of a book on African sage philosophy (1990) written by the prominent African philosopher Henry Odera Oruka (1944-1995), My reading of this book on philosophic sagacity needs to be equipped by two underlying backgrounds of philosophic sagacity. The first background is a perspective of the intercultural philosophy. The second one explains of philosophic sagacity in the African setting.

Aristotle insists that the development of knowledge and understanding begins with experience. Sense experience is, however, unreliable. This is illustrated by the difference between the naked eye perceiving things to be “crooked when seen in water and straight when seen out of it”, and a scientific understanding of the phenomenon of refraction. Drawing on this analogy, this paper explores the tensions between broad based higher education practices and the pragmatic, technicist initial professional development programmes prevalent in Western Society. Wain suggests (...) that institutions, fearing uncertainty and risk, are far from confident in their “knowingness” but are constantly seeking reassurance through “the language of skills and competencies, of measurable outcomes and transparent transactions in their decisions”. This paper argues for the reclamation of an inductive approach to initial professional development as an alternative to the increasingly deductive discourse of regulation, audit and continuous improvement facing many novice professionals. (shrink)