In this paper we look at some of the ingredients and processes involved in the understanding of mathematics. We analyze elements of mathematical knowledge, organize them in a coherent way and take note of certain classes of items that share noteworthy roles in understanding. We thus build a conceptual framework in which to talk about mathematical knowledge. We then use this representation to describe the acquisition of understanding. We also report on classroom experience with these ideas.

This book presents a contextual study of the life and work of the Cambridge Platonist Ralph Cudworth (1617-1688). Focusing on the theological basis of Cudworth's ethical philosophy, this book unlocks the hitherto ignored political aspect to Cudworth's ethical philosophy. Through a detailed examination of Cudworth's published works - particularly his voluminous "True intellectual system of the Universe" -, his posthumously published writings, and his 'freewill' manuscripts Benjamin Carter argues that the ethical and political arguments in Cudworth's philosophy develop out (...) of Cudworth's Trinitarian theology. Carter traces the link between Cudworth's trinitarianism and his ethical and political ideas by placing Cudworth's work in the turbulent religious and intellectual context of seventeenth-century England, and the University of Cambridge in particular. (shrink)

In this short note, we discuss several aspectsof dimensions and the related constructof factors. We concentrate on those aspectsthat are relevant to articles in this specialissue, especially those dealing with the analysisof the wild animal cases discussed inBerman and Hafner's 1993 ICAIL article. We reviewthe basic ideas about dimensions,as used in HYPO, and point out differences withfactors, as used in subsequent systemslike CATO. Our goal is to correct certainmisconceptions that have arisen over the years.

The philosophical case for extended cognition is often made with reference to ‘extended-memory cases’ ; though, unfortunately, proponents of the hypothesis of extended cognition as well as their adversaries have failed to appreciate the kinds of epistemological problems extended-memory cases pose for mainstream thinking in the epistemology of memory. It is time to give these problems a closer look. Our plan is as follows: in §1, we argue that an epistemological theory remains compatible with HEC only if its epistemic assessments (...) do not violate what we call ‘the epistemic parity principle’. In §2, we show how the constraint of respecting the epistemic parity principle stands in what appears to be a prima facie intractable tension with mainstream thinking about cases of propositional memory. We then outline and evaluate in §3 several lines of response. (shrink)

A conspicuous oversight in recent debates about the vexed problem of the value of knowledge has been the value of knowledge-how. This would not be surprising if knowledge-how were, as Gilbert Ryle [1945, 1949] famously thought, fundamentally different from knowledge-that. However, reductive intellectualists [e.g. Stanley and Williamson 2001; Brogaard 2008, 2009, 2011; Stanley 2011a, 2011b] maintain that knowledge-how just is a kind of knowledge-that. Accordingly, reductive intellectualists must predict that the value problems facing propositional knowledge will equally apply to knowledge-how. (...) We show, however, that this is not the case. Accordingly, we highlight a value-driven argument for thinking that knowledge-how and knowledge-that come apart. (shrink)

Volume 19, Issue 5, May 2019, Page 45-47.

Cyprian’s appropriation of Scripture and his theological emphases are closely connected with the circumstances of his congregation. As a case study in Cyprian’s biblical interpretation, this article considers all his quotations of and allusions to Philippians through the lens of his pastoral concerns: the unity of the Church; care for the poor and captive; discipline and repentance; and divine truth and eternal glory. The reading strategies Cyprian uses can be categorized as contextual exegesis, model, image, direct application, and prophetic fulfilment. (...) The study provides a fresh perspective on patronage and almsgiving in Cyprian, deepens our understanding of the reception of Paul, and elucidates the interplay of text, context and theology in an important exponent of early Latin exegesis. (shrink)

In this short note, we discuss several aspectsof “dimensions” and the related constructof “factors”. We concentrate on those aspectsthat are relevant to articles in this specialissue, especially those dealing with the analysisof the wild animal cases discussed inBerman and Hafner's 1993 ICAIL article. We reviewthe basic ideas about dimensions,as used in HYPO, and point out differences withfactors, as used in subsequent systemslike CATO. Our goal is to correct certainmisconceptions that have arisen over the years.

Social and moral issues in business have drawn attention to a gap between theory and practice and fueled the search for a reconciling perspective. Finding and establishing an alternative remains a critical initiative, but a daunting one. In what follows, the assumptions of two prominent contenders are considered before introducing a third in the form of Aristotle’s ancient theory of virtue. Comparative case studies are used to briefly illustrate the practical implications of each paradigm. In the quest for a better (...) sense-making and sense-giving lens, this paper refines and encourages the search by highlighting some of the key features required of a worthy paradigmatic challenge. The author proceeds to identify a particular type of institutional community, and a promising champion, for the practical unification of strategic and normative excellence. (shrink)

Epistemology and Relativism Epistemology is, roughly, the philosophical theory of knowledge, its nature and scope. What is the status of epistemological claims? Relativists regard the status of epistemological claims as, in some way, relative— that is to say, that the truths which epistemological claims aspire to are … Continue reading Epistemology and Relativism →.

Justifying involuntary psychiatric treatment on the basis of a judgment that a person lacks capacity is usually expressed in terms of a person’s ability to make a decision about his or her health and treatment. Typically, this relates to the ability to refuse treatment. Exactly what “capacity” means, however, and how one determines when another individual lacks capacity, or lacks sufficient capacity, in this context is particularly controversial, with the United Nations Committee on the Rights of Persons with Disabilities insisting (...) that involuntary treatment be abandoned altogether and capacity tests avoided.Capacity is a concept that has multiple meanings and applications across different disciplines and... (shrink)

Legal reasoning is an engaging field for cognitive science, since it raises so many fundamental questions, such as the representation and evolution of complex concepts. This article focuses on aspects of legal reasoning that require reasoning with cases, often in concert with other modes of reasoning.

The role of competitive funds as a source of funding for academic research has increased in many countries. For the individual researcher, the receipt of a grant can influence both scientific production and career paths. This paper focuses on the importance of the receipt of a research grant for researchers’ academic career paths utilizing a mixed methods approach that combines econometric analysis with in-depth qualitative interviews. The analysis has novel elements both in terms of its subject (impact of funding grants (...) on individuals’ academic career paths) and approach. The results of this study indicate that while research grants have a positive impact on the research performed under the grant itself, there are very important secondary effects on research performance through positive effects on academic career advancement. The probability of obtaining a full professorship for grant recipients is almost double that for rejected applicants, 16 percent compared to 9 percent. The probability for career advancement in general is about 9 percentage points higher for grant recipients. Qualitative interviews support these quantitative results by providing insights into how grants impact research careers, through heightened status, recognition, networking and other factors. (shrink)

This paper sets up a thought-experiment that examines the transformation of energy into codified mass. This transformation is understood as a semiosic action of interpretation. The semiosic action is analyzed within five “predicate” or “verbal modes” which establish different processes of transformation or interpretation. These “predicate modes”, which are sign processes, take place in different areas of reality, the external realm and the internal realm. The external realm is composed of discrete objects and their interactions. Its processes are examined within (...) classical mechanics and this paper posits a semiosic codification that is unique to these external processes. The internal realm is a holistic endoperspective with no recognition of discrete objects. Its processes are examined within quantum and field processes and this paper posits a semiosic codification that is unique to the internal processes. However, rather than promoting one or the other realm as a valid interpretation of reality, this paper suggests that both the external and internal energy-mass processes are necessary components of our universe. (shrink)

Recent work in the philosophy of mind and cognitive science (e.g., Clark and Chalmers 1998; Clark 2010a; Clark 2010b; Palermos 2014) can help to explain why certain kinds of assertions—made on the basis of information stored in our gadgets rather than in biological memory—are properly criticisable in light of misleading implicatures, while others are not.

This book demonstrates pride's unique profile in philosophical theory as both an emotion and an element of human virtue, and includes a range of represented perspectives: psychology; philosophy; sociology; and anthropology.

The BankXX system models the process of perusing and gathering information for argument as a heuristic best-first search for relevant cases, theories, and other domain-specific information. As BankXX searches its heterogeneous and highly interconnected network of domain knowledge, information is incrementally analyzed and amalgamated into a dozen desirable ingredients for argument (called argument pieces), such as citations to cases, applications of legal theories, and references to prototypical factual scenarios. At the conclusion of the search, BankXX outputs the set of argument (...) pieces filled with harvested material relevant to the input problem situation.This research explores the appropriateness of the search paradigm as a framework for harvesting and mining information needed to make legal arguments. In this article, we describe how legal research fits the heuristic search framework and detail how this model is used in BankXX. We describe the BankXX program with emphasis on its representation of legal knowledge and legal argument. We describe the heuristic search mechanism and evaluation functions that drive the program. We give an extended example of the processing of BankXX on the facts of an actual legal case in BankXX's application domain — the good faith question of Chapter 13 personal bankruptcy law. We discuss closely related research on legal knowledge representation and retrieval and the use of search for case retrieval or tasks related to argument creation. Finally we review what we believe are the contributions of this research to the understanding of the diverse disciplines it addresses. (shrink)

The human is supposed to be top animal, but every one of these true stories shows how ridiculous that idea can be... As an RSPCA Inspector based in North Yorkshire in the 1980s, Carter Langdale found himself at the heart of rural life. Part doctor, part vicar, part undertaker - you name it, the locals decided that he was the man to help them and their animals. Each day brought a new, and often absurd, challenge. Whether he was rescuing (...) a cow stuck halfway down a ravine, a tortoise trying to cross the road, or being presented with an injured owl at his door, Carter never knew what was coming next. Evoking James Herriot's classic memoirs as well as My Family and Other Animals, Langdale's stories, some hilarious, some likely to bring a tear to the eye, are told with great humour and sympathy. For animal lovers, this is an absolute treat. (shrink)

Despite the profound potential of MacIntyre’s revolutionary virtue paradigm, management scholars have struggled to make sense of one of the most contentious and insightful philosophers of our time. This conceptual paper attempts to move past the transliteration of MacIntyre in favour of a translation of his contribution in a manner than retains something closer to its full meaning, while helpfully guiding empirical efforts to apply this emerging paradigm to modern organisations. This translation entails a dismissal of MacIntyre’s hypercritical bias in (...) order to accommodate an expansion of his ideas into the language and logic of management theory and practice. Schein’s methodological roadmap for deciphering culture is offered, as is theory-building using comparative case research, as offering two particularly promising directions for future empirical studies that seek to use the theory of virtue in order to reconceptualise and study the modern organisation. (shrink)

Despite the profound potential of MacIntyre’s revolutionary virtue paradigm, management scholars have struggled to make sense of one of the most contentious and insightful philosophers of our time. This conceptual paper attempts to move past the transliteration of MacIntyre in favour of a translation of his contribution in a manner than retains something closer to its full meaning, while helpfully guiding empirical efforts to apply this emerging paradigm to modern organisations. This translation entails a dismissal of MacIntyre’s hypercritical bias in (...) order to accommodate an expansion of his ideas into the language and logic of management theory and practice. Schein’s methodological roadmap for deciphering culture is offered, as is theory-building using comparative case research, as offering two particularly promising directions for future empirical studies that seek to use the theory of virtue in order to reconceptualise and study the modern organisation. (shrink)

This paper is about the relevance, to the definition of freedom, of values or goods other than freedom. In this respect,its subject matter is not at all new. However, I do believe that new light can be thrown on the nature of this relationship by paying more attention to another relationship – one which exists within the concept of freedom itself. There are two senses in which we can be said to possess freedom. Firstly, there is the sense in which (...) we can be said to be free to do a certain particular thing. Secondly,there is the sense in which we can be said to possess a certain ‘amount’,‘degree’ or ‘quantity’ of freedom, in some overall sense. 1 I believe that most recent accounts of the relationship between freedom and other goods are inconsistent, because they see those other goods as affecting the truth value of claims about freedom in the second sense, but not in the first. (shrink)