Abstract: Groundwork is lain for answering questions as to how to situate Husserl’s theory of functions in relation to Frege’s. I examine Husserl’s ideas about analyticity and mathematics, logic and mathematics, formalization, calculating with concepts and propositions, the foundations of arithmetic, extensions to show that, although he knew, studied and lauded Frege’s ideas about functions and concepts, each man approached the issues from different angles. Seduced by the siren of transcendental phenomenology Husserl did not pursue the issues, implications, and consequences (...) of his ideas about functions. I ask whether so doing could provide new insight into, or even solutions to, the problems involving functions that beset Frege, Russell and have beset their successors. (shrink)

For different reasons, Husserl's original, thought-provoking ideas on the philosophy of logic and mathematics have been ignored, misunderstood, even despised, by analytic philosophers and phenomenologists alike, who have been content to barricade themselves behind walls of ideological prejudices. Yet, for several decades, Husserl was almost continuously in close professional and personal contact with those who created, reshaped and revolutionized 20th century philosophy of mathematics, logic, science and language in both the analytic and phenomenological schools, people whom those other makers of (...) 20th century philosophy, Russell, Frege, Wittgenstein and their followers, rarely, if ever, met. Independently of them, Husserl offered alternatives to the well-trodden paths of logicism, nominalism, formalism and intuitionism. He presented a well-articulated, thoroughly argued case for logic as an objective science, but was not philosophically naive to the point of not seeing the role of subjectivity in shaping the sense of the reality facing objective science. Given the preeminent role that philosophy of logic and philosophy of mathematics have played in transforming the way philosophy has been done since Husserl's time, and given the depth of his insights and his obvious expertise in those fields, his ideas need to be integrated into present-day, mainstream philosophy. Here, philosopher Claire Ortiz Hill and mathematician-philosopher Jairo da Silva offer a wealth of interesting insights intended to subvert the many mistaken idees recues about the development of Husserl's thought and reestablish broken ties between it and philosophy now. (shrink)

Evidence is drawn together to connect sources of inconsistency that Frege discerned in his foundations for arithmetic with the origins of the paradox derived by Russell in "Basic Laws" I and then with antinomies, paradoxes, contradictions, riddles associated with modal and intensional logics. Examined are: Frege's efforts to grasp logical objects; the philosophical arguments that compelled Russell to adopt a description theory of names and a eliminative theory of descriptions; the resurfacing of issues surrounding reference, descriptions, identity, substitutivity, paradox in (...) the debates concerning modal and intensional logics; the development of the New Theory of Reference. I consider this to be the philosophical ground upon which the debates regarding that theory should take place. (shrink)

Aims The purpose of this literature review was to explore the psychosocial implications of long-term survival for people affected by cancer by systematically examining published research evidence. Key findings 283 abstracts of papers were retrieved and checked and 33 studies relating to the implications of long-term survival subjected to detailed scrutiny. This review suggests that the majority of long-term cancer survivors cope well and enjoy good QoL. However, there are areas of concern which warrant attention. Whilst this review did not (...) set out to review physical problems experienced in the long-term, long-term physical consequences of cancer and its treatment were associated with poorer QoL and more psychological distress and sexual problems. Other long term concerns included anxiety regarding recurrence, financial difficulties and reduced social and emotional support. Long term survivors of lung, head and neck cancers appear particularly vulnerable to long term problems although there were few studies involving people with these cancers in this review. A number of limitations in the current evidence base were highlighted. Little research was conducted in the UK and raises questions as to the relevance of the findings for a different environment or culture where patients may have different attitudes to cancer survival and receive different treatments. Also, when looking at practical issues for long-term survivors such as ability to obtain insurance, or employment matters, then country-specific factors will be important. (shrink)

Most areas of philosopher Edmund Husserl’s thought have been explored, but his views on logic, mathematics, and semantics have been largely ignored. These essays offer an alternative to discussions of the philosophy of contemporary mathematics. The book covers areas of disagreement between Husserl and Gottlob Frege, the father of analytical philosophy, and explores new perspectives seen in their work.

By drawing attention to these facts and to the relationship between Cantor’s and Husserl's ideas, I have tried to contribute to putting Frege's attack on Husserl "in the proper light" by providing some insight into some of the issues underling criticisms which Frege himself suggested were not purely aimed at Husserl's book. I have tried to undermine the popular idea that Frege's review of the Philosophy of Arithmetic is a straightforward, objective assessment of Husserl’s book, and to give some specific (...) reasons for thinking that the uncritical reading of Frege's review has unfairly distorted philosophers' perception of a work they do not know very well. (shrink)

Two hundred years ago, J.M.W. Turner packed up two large leatherbound sketchbooks, pencils, and watercolors and set off for the north of England. When he returned from the tour that he regarded as one of the most important of his career, Turner had completed more than two hundred sketches - works that later became the basis of more than fifty major oil paintings and watercolors. For this illustrated book, David Hill has taken photographs of many of the actual sites (...) Turner sketched on his northern tour. The result is an look at the whole of Turner's creative process, from site to exhibited picture, and at the quality and intensity of the artist's experience. (shrink)

Few have entertained the idea that Georg Cantor, the creator of set theory, might have influenced Edmund Husserl, the founder of the phenomenological movement. Yet an exchange of ideas took place between them when Cantor was at the height of his creative powers and Husserl in the throes of an intellectual struggle during which his ideas were particularly malleable and changed considerably and definitively. Here their writings are examined to show how Husserl's and Cantor's ideas overlapped and crisscrossed in the (...) areas of philosophy and mathematics, arithmetization, abstraction, consciousness and pure logic, psychologism, metaphysical idealism, new numbers, and sets and manifolds. (shrink)

One hundred years ago Gottlob Frege published a damaging, abusive review of Edmund Husserl’s Philosophy of Arithmetic. Although rather a lot has now been written abound Frege’s review and the role it might have played in the development of Husserl’s thought, much still remains to be rectified regarding Frege’s assessment of the book and the credence his review has been accorded. Philosophers have generally been all too willing to trust Frege’s judgment, and so all too ready to dismiss Husserl’s book (...) as irredeemably muddled. (shrink)

There is limited consensus about what constitutes humanly sensitive care, or how it can be sustained in care settings. A new humanised care assessment tool may point to caring practices that are up to the task of meeting persons as humans within busy healthcare environments. This paper describes qualitative development of a tool that is conceptually sensitive to human dimensions of care informed by a life‐world philosophical orientation. Items were generated to reflect eight theoretical dimensions that constitute what makes care (...) feel humanly focused. An action research group process in 2014–2015 with researchers, service users, healthcare professionals in two diverse clinical settings (stroke rehabilitation and dermatology) was used. Feedback on conceptual content, transparency of meaning and readability was then gained from a panel in Sweden and third‐year student nurses in the UK. The tool can be applied to attune staff to human dimensions of care, offering items which point to concrete examples of humanising and dehumanising features of practice in ways that have not yet been fully captured in the caring literature. Based on theoretically led experiential items, with dedicated focus on what makes people feel more, or less than human, it may offer improvement on available assessments of care. (shrink)

Pour projeter de la lumière dans de nombreux coins et recoins obscurs de la logique pure de Husserl et dans les rapports entre sa logique formelle et sa logique transcendantale, et combler des lacunes empêchant qu’on arrive à une appréciation juste de sa Mannigfaltigkeitslehre, ou théorie de multiplicités, on examine comment, en prônant une théorie des systèmes déductifs, ou systèmes d’axiomes, comme tâche suprême de la logique pure, Husserl cherchait à résoudre certains problèmes épineux auxquels il s’était heurté en écrivant (...) Philosophie de l’arithmétique. Ces problèmes sont décrits. Ensuite, on rassemble les éléments nécessaires pour caractériser ce que Husserl, à travers les textes présentement disponibles, voulait dire des Mannigfaltigkeiten. Pour conclure, il est indiqué comment Husserl pouvait considérer que sa théorie représentait une solution aux problèmes qui avaient conduit à son élaboration.To shed light on the numerous dark areas surrounding Husserl’s ideas about pure logic and the relationship between his formal logic and his transcendental logic, and so provide an accurate characterisation of his Mannigfaltigkeitslehre, a close look is taken at how, by advocating a theory of deductive systems, or axiomatic systems as the highest task of pure logic, Husserl sought to resolve certain thorny problems he encountered when writing the Philosophy of Arithmetic. Those problems are described. Then, his ideas about axiomatization and manifolds are drawn together from the various sources now available to provide a more complete picture of his Mannigfaltigkeitslehre. In conclusion, it is shown how Husserl considered his theory to be a solution to the problems leading to its development. (shrink)

In search of the origins of some of the most fundamental problems that have beset philosophers in English-speaking countries in the past century, Claire Ortiz Hill maintains that philosophers are treating symptoms of ills whose causes lie buried in history. Substantial linguistic hurdles have blocked access to Gottlob Frege's thought and even to Bertrand Russell's work to remedy the problems he found in it. Misleading translations of key concepts like intention, content, presentation, idea, meaning, concept, etc., severed analytic (...) philosophy from its roots. Hill argues that once linguistic and historical barriers are removed, Edmund Husserl's critical study of Frege's logic in his 1891 _Philosophy of Arithmetic_ provides important insights into issues in philosophy now. She supports her conclusions with analyses of Frege's, Husserl's, and Russell's works, including _Principia Mathematica_, and with linguistic analyses of the principal concepts of analytic philosophy. She re-establishes links that existed between English and Continental thought to show Husserl's expertise as a philosopher of mathematics and logic who had been Weierstrass's assistant and had long maintained ties with Cantor, Hilbert, and Zermelo. (shrink)

Little is known of Edmund Husserl's direct encounter with Georg Cantor's ideas on Platonic idealism and the abstraction of number concepts during the late 19th century, when Husserl's philosophical orientation changed considerably and definitely. Closely analyzing and comparing the two men's writings during that important time in their intellectual careers, I describe the crucial shift in Husserl's views on psychologism and metaphysical idealism as it relates to Cantor's philosophy of arithmetic. I thus establish connections between their ideas which have been (...) until now been virtually unsuspected and contribute to a better understanding of the development of Husserl's thought and of the philosophical and metaphysical ideas within which Cantor chose to frame his theories. (shrink)

Husserl and Cantor were colleagues and close friends during the last 14 years of the nineteenth century, when Cantor was at the height of his creative powers and Husserl in the throes of an intellectual struggle during which he drew apart from people and writings to whom he owed most of his intellectual training and drew closer to the ideas of thinkers whose writings he had not been able to evaluate properly and had consulted too little. I study ways in (...) which Husserl and Cantor might be said to have been alike, while pointing to dissimilarities between them. In particular, I discuss how their ideas overlapped and crisscrossed with regard to mathematics and philosophy, Platonic idealism, abstraction, empiricism, psychologism, actual consciousness and pure logic, Frege’s reviews of their works, metaphysics and mysticism, sets, arithmetization, strange and imaginary numbers and manifolds. I conclude that Cantor was among those of his mentors from whose ideas Husserl drew away and Lotze and Bolzano were among those to whose ideas he drew closer. (shrink)

In letters that Husserl and Frege exchanged during late 1906 and early 1907, when it is thought that Frege abandoned his attempts to solve Russell's paradox, Husserl expressed his views about the "paradox". Studied here are three deep-rooted differences between their approaches to pure logic present beneath the surface in these letters. These differences concern Husserl's ideas about avoiding paradoxical consequences by shunning three potentially para-dox producing practices. Specifically, he saw the need for: 1) correctly drawing the line between meaning (...) analyses and logical analyses; 2) an epistemology of pure logic; 3) a subtler under-standing of the semantics of statements than Frege proposed. This study is part of a project to lend insight into the questions that Russell's paradox raises for logic and epistemology once signaled by Gödel, an admirer of Husserl's work. (shrink)

In “Function and Concept” and “On Concept and Object”, Frege argued that certain differences between dependent and independent meanings were inviolable and “founded deep in the nature of things” but, in those articles, he was not explicit about the actual consequences of violating such differences. However, since by creating a law that permitted one to pass from a concept to its extension, he himself mixed dependent and independent meanings, we are in a position to study some of the actual consequences (...) of his having done so. To make certain of Frege’s ideas about the inviolability of logical form more tangible, I describe a string of very interrelated consequences that his attempt to transform dependent meanings into independent meanings actually brought in its wake. (shrink)

Economists typically assume that preferences are fixed-that people know what they like and how much they like it relative to all other things, and that this rank-ordering is stable over time. But this assumption has never been accepted by any other discipline. Economists are increasingly having difficulty arguing that the assumption is true enough to generate useful predictions and explanations. Indeed, law and economics scholars increasingly acknowledge that preferences are constructed, and that the law itself can help construct preferences. Still, (...) fixed preferences are often treated as a normative ideal: Even if people don't have fixed preferences, they should. Behavioral law and economics scholars offer approaches to deal with this normative shortcoming. My article argues that preference construction, properly understood, is not normatively undesirable. Having fixed preferences means having a complete and stable rank ordering of what we want that dictates our choices. But we often do not have such an ordering, and rationally so. My article argues instead for an alternative process-based, account of preference construction. Rather than having a complete rank ordering, we have ways of making choices. We construct narratives, using evaluative criteria against a backdrop of wants, desires and inclinations, some of which we rank order and some of which we do not. The evaluative criteria embed a consideration of transaction costs: critically, where a decision is not very consequential, a formulaic decision rule that permits a ready choice among roughly comparable alternatives may serve our purposes better than a more considered alternative-by-alternative assessment. Our wants, desires and inclinations are for both traditional objects of choice and higher order values and desires; they are both previously constructed and constructed and elicited in the choice-making process. My article makes the case for such an account's potential explanatory power, as well as its tractability. (shrink)

Anna-TeresaTymieniecka writes of a “dynamic skeleton for future fusions of sense” rising from the seemingly disjointed situation of philosophy and details how her phenomenology of life can put flesh on it. Examined here are her efforts to: uncover the deep-lying intelligibility of life by emphasizing the role of the logos of life in connection with meaning structures developed by Husserl; undertake a critique of phenomenological reason; delineate life’s path, not from cognition in isolation, but from within the fullness of human (...) functioning in all its complexity; give Husserl’s phenomenology a metaphysico-existential foundation; analyze the human creative process penetrating the very individualized meanderings of life; show how the creative logos reaches into communal/societal life and opens the way to spiritual and sacral horizons of experience. (shrink)

Edmund Husserl was one of the very first to experience the direct impact of challenging problems in set theory and his phenomenology first began to take shape while he was struggling to solve such problems. Here I study three difficulties associated with Frege's use of sets that Husserl explicitly addressed: reference to non-existent, impossible, imaginary objects; the introduction of extensions; and 'Russell's paradox'.I do so within the context of Husserl's struggle to overcome the shortcomings of set theory and to develop (...) his own theory of manifolds. I define certain issues involved and discuss how Husserl's theory of manifolds might confront them. In so doing I hope to help bring Husserl's theories about sets and manifolds out of the realm of abstract theorizing and prompt further exploration of uncharted philosophical territory rich in philosophical implications. (shrink)

In recent years much of the attention given to the important intellectual kinship between Husserl and Frege has been on the part of philosophers schooled in the analytic tradition fathered by Frege. Here Mohanty endeavors to place these inquiries in their proper context by exploring more fully this area of legitimate exchange between analytic philosophy and phenomenology.

This book was ten years in the making and it takes as its point of departure work on analytic philosophy and phenomenology done in the late sixties by the authors' professors at Stanford, Jaakko Hintikka and Dagfinn Føllesdal. Subsequent research, though, and notably J. N. Mohanty's work on Husserl and Frege have pointed to the difficulties unearthed as one examines assumptions about ties between Husserl's efforts and the work of Frege and his successors. Husserl was himself a master of the (...) tradition in mathematics and philosophy that produced both him and Frege. He knew Frege's writings and he consciously diverged from them fashioning a distinct philosophical voice from the philosophical legacy they both shared. Any attempt now to interpret and improve Husserl in a Fregean way, adjusting his thought to the needs of contemporary analytic semantics, is misguided and cannot but produce distortions. Though McIntyre and Smith consistently show themselves aware of the criticisms to be levelled against their research, this work cannot, by its very nature, provide an adequate reply to critiques which would destroy the entire fabric of its argument. (shrink)

This is a review of Dallas Willard's book of that title.

Using limpid language and citing abundant documentary evidence, the two authors demonstrate two fundamental and closely interconnected theses. The first is that Frege in no wise influenced Husserl in the manner and to the extent believed by many analytic philosophers. The second is that Husserl’s logical ideas were formally, ontologically and cognitively more advanced than Frege’s.

(No abstract is available for this citation).

Incoherence is usually regarded as a bad thing. Incoherence suggests irrationality, confusion, paradox. Incoherentism disagrees: incoherence is not always a bad thing, sometimes we ought to be incoherent. If correct, Incoherentism has important and controversial implications. It implies that rationality does not always require coherence. Dilemmism and Incoherentism both embrace conflict in epistemology. After identifying some important differences between these two ways of embracing conflict, I offer some reasons to prefer Incoherentism over Dilemmism. Namely, that Incoherentism allows us to deliberate (...) about what we ought to believe using ordinary epistemology, and it does a better job of accommodating the positive features of incoherence. (shrink)