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Intuitionistic Proof Versus Classical Truth: The Role Of Brouwer's Creative Subject In Intuitionistic Mathematics (Logic, Epistemology, and the Unity of Science #42)
by Enrico MartinoThis book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring fifteen papers – both new and previously published – it offers a fresh analysis of concepts developed by the mathematician and philosopher L.E.J. Brouwer, the founder of intuitionism.The author explores Brouwer’s idealization of the creative subject as the basis for intuitionistic truth, and in the process he also discusses an important, related question: to what extent does the intuitionistic perspective succeed in avoiding the classical realistic notion of truth? The papers detail realistic aspects in the idealization of the creative subject and investigate the hidden role of choice even in classical logic and mathematics, covering such topics as bar theorem, type theory, inductive evidence, Beth models, fallible models, and more. In addition, the author offers a critical analysis of the response of key mathematicians and philosophers to Brouwer’s work. These figures include Michael Dummett, Saul Kripke, Per Martin-Löf, and Arend Heyting.This book appeals to researchers and graduate students with an interest in philosophy of mathematics, linguistics, and mathematics.
Intuitions as Evidence
by Joel PustFirst published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
Intuitions as Evidence (Studies In Philosophy Ser.)
by Joel PustFirst published in 2000. Starting with Kripke's quotation on intuitive content being philosophic evidence, in this essay, the author aims to demonstrate how contemporary philosophy relies on intuitions as evidence, to explain what intuitions are and show why certain contemporary arguments against the use of intuitions as evidence fail.
Intuitive Axiomatic Set Theory (Textbooks in Mathematics)
by José L GarciáSet theory can be rigorously and profitably studied through an intuitive approach, thus independently of formal logic. Nearly every branch of Mathematics depends upon set theory, and thus, knowledge of set theory is of interest to every mathematician. This book is addressed to all mathematicians and tries to convince them that this intuitive approach to axiomatic set theory is not only possible but also valuable.The book has two parts. The first one presents, from the sole intuition of "collection" and "object", the axiomatic ZFC-theory. Then, we present the basics of the theory: the axioms, well-orderings, ordinals and cardinals are the main subjects of this part. In all, one could say that we give some standard interpretation of set theory, but this standard interpretation results in a multiplicity of universes. The second part of the book deals with the independence proofs of the continuum hypothesis (CH) and the axiom of choice (AC), and forcing is introduced as a necessary tool, and again the theory is developed intuitively, without the use of formal logic. The independence results belong to the metatheory, as they refer to things that cannot be proved, but the greater part of the arguments leading to the independence results, including forcing, are purely set-theoretic. The book is self-contained and accessible to beginners in set theory. There are no prerequisites other than some knowledge of elementary mathematics. Full detailed proofs are given for all the results.
Intuitively Rational: How We Think and How We Should
by Charles Foster Andrew McGeeThis book is about the respective roles of intuition and reasoning in ethics. It responds to a number of well-known philosophers and psychologists, and proposes a new perspective – radical in its moderation. It examines in depth the work of the philosopher Joshua Greene and the psychologist Jonathan Haidt. With the so-called empirical turn in ethics, much work has been done to try to isolate the role of reason and intuition in forming our moral judgements, with Haidt and Greene leading the research programmes and attracting much of the professional and public attention, and many others following. The current view – shared by both camps – is that intuition is largely the driver of our moral judgements – a view summed up in Haidt’s slogan ‘intuition first, strategic reasoning second’. Haidt believes we have to live with this and accept it. Greene does not: he contends that our intuitions, while suitable for the environments in which we evolved, are worthless in the modern, global, technological age, and to avoid ethical disaster we must learn to adopt reason as the arbiter of moral truth. This book steers a middle course between these two positions and is therefore of great interest to philosophers and psychologists alike.
Inventing Arguments (Second Edition)
by John Mauk John MetzThe text's prominent focus on invention teaches students to recognize the rhetorical elements of any argumentative situation and apply the tools of argument effectively in their own writing.
Inventing Arguments: Brief 4th Edition
by John Mauk John MetzOrganized around common rhetorical situations that occur all around us, INVENTING ARGUMENTS shows you that argument is a living process rather than a form to be modeled. Through the text's prominent focus on invention, you will learn to recognize the rhetorical elements of any argumentative situation and apply the tools of argument effectively in your own writing. The basic layers of argument are introduced in early chapters, with material arranged into increasingly sophisticated topics beginning with the most obvious or explicit layers (claims) and moving to more implied or "hidden" layers (assumptions, values, beliefs, ideology). By the time you finish Part 1, you will have a thorough understanding of argument, which you can then apply not just to the invention projects but also to your writing for other college courses and beyond.
Inventing Chemistry: Herman Boerhaave and the Reform of the Chemical Arts (Synthesis)
by John C. PowersThe story of this little-known Dutch physician &“will interest students and practitioners of history, chemistry, and philosophy of science&” (Choice). In Inventing Chemistry, historian John C. Powers turns his attention to Herman Boerhaave (1668–1738), a Dutch medical and chemical professor whose work reached a wide, educated audience and became the template for chemical knowledge in the eighteenth century. The primary focus of this study is Boerhaave&’s educational philosophy, and Powers traces its development from Boerhaave&’s early days as a student in Leiden through his publication of the Elementa chemiae in 1732. Powers reveals how Boerhaave restructured and reinterpreted various practices from diverse chemical traditions (including craft chemistry, Paracelsian medical chemistry, and alchemy), shaping them into a chemical course that conformed to the pedagogical and philosophical norms of Leiden University&’s medical faculty. In doing so, Boerhaave gave his chemistry a coherent organizational structure and philosophical foundation, and thus transformed an artisanal practice into an academic discipline. Inventing Chemistry is essential reading for historians of chemistry, medicine, and academic life.
Inventing Falsehood, Making Truth: Vico and Neapolitan Painting (Essays in the Arts)
by Malcolm BullHow the philosophy of Giambattista Vico was influenced by eighteenth-century Neopolitan paintingCan painting transform philosophy? In Inventing Falsehood, Making Truth, Malcolm Bull looks at Neapolitan art around 1700 through the eyes of the philosopher Giambattista Vico. Surrounded by extravagant examples of late Baroque painting by artists like Luca Giordano and Francesco Solimena, Vico concluded that human truth was a product of the imagination. Truth was not something that could be observed: instead, it was something made in the way that paintings were made--through the exercise of fantasy.Juxtaposing paintings and texts, Bull presents the masterpieces of late Baroque painting in early eighteenth-century Naples from an entirely new perspective. Revealing the close connections between the arguments of the philosophers and the arguments of the painters, he shows how Vico drew on both in his influential philosophy of history, The New Science. Bull suggests that painting can serve not just as an illustration for philosophical arguments, but also as the model for them--that painting itself has sometimes been a form of epistemological experiment, and that, perhaps surprisingly, the Neapolitan Baroque may have been one of the routes through which modern consciousness was formed.
Inventing God: Psychology of Belief and the Rise of Secular Spirituality (Philosophy and Psychoanalysis)
by Jon MillsIn this controversial book, philosopher and psychoanalyst Jon Mills argues that God does not exist; and more provocatively, that God cannot exist as anything but an idea. Put concisely, God is a psychological creation signifying ultimate ideality. Mills argues that the idea or conception of God is the manifestation of humanity’s denial and response to natural deprivation; a self-relation to an internalized idealized object, the idealization of imagined value. After demonstrating the lack of any empirical evidence and the logical impossibility of God, Mills explains the psychological motivations underlying humanity’s need to invent a supreme being. In a highly nuanced analysis of unconscious processes informing the psychology of belief and institutionalized social ideology, he concludes that belief in God is the failure to accept our impending death and mourn natural absence for the delusion of divine presence. As an alternative to theistic faith, he offers a secular spirituality that emphasizes the quality of lived experience, the primacy of feeling and value inquiry, ethical self-consciousness, aesthetic and ecological sensibility, and authentic relationality toward self, other, and world as the pursuit of a beautiful soul in search of the numinous. Inventing God will be of interest to academics, scholars, lay audiences and students of religious studies, the humanities, philosophy, and psychoanalysis, among other disciplines. It will also appeal to psychotherapists, psychoanalysts and mental health professionals focusing on the integration of humanities and psychoanalysis.
Inventing Philosophy's Other: Phenomenology in America
by Jonathan StrassfeldThe history of phenomenology, and its absence, in American philosophy. Phenomenology and so-called “continental philosophy” receive scant attention in most American philosophy departments, despite their foundational influence on intellectual movements such as existentialism, post-structuralism, and deconstruction. In Inventing Philosophy’s Other, Jonathan Strassfeld explores this absence, revealing how everyday institutional practices played a determinative role in the development of twentieth-century academic discourse. Conventional wisdom holds that phenomenology’s absence from the philosophical mainstream in the United States reflects its obscurity or even irrelevance to America’s philosophical traditions. Strassfeld refutes this story as he traces phenomenology’s reception in America, delivering the first systematic historical study of the movement in the United States. He examines the lives and works of Marjorie Grene, Alfred Schütz, Hubert Dreyfus, and Iris Marion Young, among others, while also providing a fresh introduction to phenomenological philosophy.
Inventing the Future
by Alex Williams Nick SrnicekA major new manifesto for a high-tech future free from workNeoliberalism isn't working. Austerity is forcing millions into poverty and many more into precarious work, while the left remains trapped in stagnant political practices that offer no respite. Inventing the Future is a bold new manifest0 for life after capitalism. Against the confused understanding of our high-tech world by both the right and the left, this book claims that the emancipatory and future-oriented possibilities of our society can be reclaimed. Instead of running from a complex future, Nick Srnicek and Alex Williams demand a postcapitaiist economy capable of advancing standards, liberating humanity from work and developing technologies that expand our freedoms.
Inventing the Individual: The Origins of Western Liberalism
by Larry SiedentopHere, in a grand narrative spanning 1,800 years of European history, a distinguished political philosopher firmly rejects Western liberalism's usual account of itself: its emergence in opposition to religion in the early modern era. Larry Siedentop argues instead that liberal thought is, in its underlying assumptions, the offspring of the Church.
Inventing the Mathematician: Gender, Race, and Our Cultural Understanding of Mathematics
by Sara N. HottingerWhere and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of mathematics contribute to our cultural understanding of mathematics: mathematics textbooks, the history of mathematics, portraits of mathematicians, and the field of ethnomathematics. Hottinger examines how these discourses shape mathematical subjectivity by limiting the way some groups—including women and people of color—are able to see themselves as practitioners of math. Inventing the Mathematician provides a blueprint for how to engage in a deconstructive project, revealing the limited and problematic nature of the normative construction of mathematical subjectivity.
Inventing the Ties That Bind: Imagined Relationships in Moral and Political Life
by Francesca PollettaFrom deciding to hold the door for the person behind you, to resolving for whom you will cast your vote, every day we find ourselves charged with making moral decisions. What steers our choices? And how do we weigh competing priorities and moral convictions? In Inventing the Ties That Bind, Francesca Polletta shows that we do not solve these dilemmas, whether personal or political, based on self-interest alone. Instead, relationships serve as a kind of moral compass. People consider the nature of their ties to one another to know what their obligations are, and in situations that are unfamiliar, they sometimes figure out the right thing to do by imagining themselves in relationships they do not actually have. Polletta takes up a wide range of cases, from debt settlement agencies to the southern civil rights movement, revealing that our relationships and how we imagine them are at the heart of our moral lives—guiding us as we choose whom to help and how we define what it means to treat someone as our equal. In a time of growing polarization, understanding how we make sense of our ties to one another is more urgent than ever.
Invention of the Wilderness: Poems
by Bruce BondIn Invention of the Wilderness, Bruce Bond explores the wilderness as a spiritual, psychological, and ecological realm—a territory that, depending on our tolerances and affections, calls out for order, exploitation, expansion, or preservation. Although to talk of “inventing” the wilderness seems paradoxical, the book seeks to reclaim the etymological root of “invention” as a “venturing in.” To invent a wilderness is to go inward by way of attentive engagement in the natural world, to affirm and liberate imaginative expression as no mere mirror of nature, but a force of it. At times meditative and melancholic, though also vibrant and full of life, Invention of the Wilderness proposes an embodied and reflective way of being in the world.
Inventions in Sociology: Studies in Science and Society
by Sal RestivoThis book presents a collection of old and new essays exploring the author’s unique contributions to the sociology of science, mathematics, logic, robotics, brain, and god. Known for his defense of a strong social constructionist approach to the hard problems in the sociology of science, the power and range of Restivo’s interests and studies are discussed in this unique text. The essays range from his introduction of the sociology of objectivity early in his career to his recent construction of a social brain paradigm. The author situates himself in the context of the leading paradigms in science studies and his relationships with leading figures in the field including Latour, Woolgar, Needham, and D.T. Campbell. The book demonstrates a general theoretical focus on the rejection of transcendence. He rejects Platonism in mathematics and socially situates consciousness, genius, and God. The author’s wide ranging interdisciplinary competencies reflect classical and postmodern influences and will be an invaluable reference for researchers working in this field.
Inventions of Teaching: A Genealogy
by Brent Davis Angus McMurtryThis updated edition of Inventions of Teaching: A Genealogy presents an examination of the many and varied metaphors of teaching in English. These metaphors serve as sites to excavate conflicting historical, con-ceptual, and philosophical influences that have contributed to modern teaching practices.Though the Eurocentric perspectives of the first edition remain a focus, they are placed in a broader context that acknowledges their, as the authors coin it, ‘WEIRDness’ (i.e., western, educated, industrialized, rich, democratic nature). In this revised and expanded edition, these perspectives are accompanied by multiple case studies of non-Western and Indigenous educational traditions. Chapter discussions are organized as a genealogy around key conceptual bifurcations in thought rather than case-by-case analysis or a chronology. This structure allows the authors to examine the origins of distinctions that are often taken for granted, such as cognitivism vs. behaviorism, or constructivism vs. positivism. The genealogy develops around breaks in opinion that gave or are giving rise to diverse interpretations of knowledge, learning, and teaching--highlighting historical moments in which vibrant new figurative understandings of teaching emerged. A new chapter has been added, addressing the habits of interpretation needed to render the ‘WEIRD’ world sensible; alongside a much elaborated closing discussion, intended to bring WEIRD inventions of teaching into sharper relief by contrasting them with non-WEIRD cultures and some of their approaches to teaching.Inventions of Teaching: A Genealogy is an informative text for senior undergraduate and graduate courses in curriculum studies and foundations of teaching, It is also relevant for students, faculty, and researchers across the field of education who want to explore the consequences of diversities of opinion, belief, and practice concerning teaching and closely related topics of learning, knowing and formal education.
Inventions of Teaching: A Genealogy
by Brent DavisInventions of Teaching: A Genealogy is a powerful examination of current metaphors for and synonyms of teaching. It offers an account of the varied and conflicting influences and conceptual commitments that have contributed to contemporary vocabularies--and that are in some ways maintained by those vocabularies, in spite of inconsistencies and incompatibilities among popular terms. The concern that frames the book is how speakers of English invented (in the original sense of the word, "came upon") our current vocabularies for teaching. Conceptually, this book is unique in the educational literature. As a whole, it presents an overview of the major underlying philosophical and ideological concepts and traditions related to knowledge, learning, and teaching in the Western world, concisely introducing readers to the central historical and contemporary discourses that shape current discussions and beliefs in the field. Because the organization of historical, philosophical, theoretical, and etymological information is around key conceptual divergences in Western thought rather than any sort of chronology, this text is not a linear history, but several histories--or, more precisely, it is a genealogy. Specifically, it is developed around breaks in opinion that gave or are giving rise to diverse interpretations of knowledge, learning, and teaching--highlighting historical moments in which vibrant new figurative understandings of teaching emerged and moments at which they froze into literalness. The book is composed of two sorts of chapters, "branching" and "teaching." Branching chapters include an opening treatment of the break in opinion, separate discussions of each branch, and a summary of the common assumptions and shared histories of the two branches. Teaching chapters offer brief etymological histories and some of the practical implications of the terms for teaching that were coined, co-opted, or redefined within the various traditions. Inventions of Teaching: A Genealogy is an essential text for senior undergraduate and graduate courses in curriculum studies and foundations of teaching and is highly relevant as well for students, faculty, and researchers across the field of education.
Inventive Methods: The Happening of the Social (CRESC)
by Celia Lury and Nina WakefordSocial and cultural research has changed dramatically in the last few years in response to changing conceptions of the empirical, an intensification of interest in interdisciplinary work, and the growing need to communicate with diverse users and audiences. Methods texts, however, have not kept pace with these changes. This volume provides a set of new approaches for the investigation of the contemporary world. Building on the increasing importance of methodologies that cut across disciplines, more than twenty expert authors explain the utility of 'devices' for social and cultural research – their essays cover such diverse devices as the list, the pattern, the event, the photograph, the tape recorder and the anecdote. This fascinating collection stresses the open-endedness of the social world, and explores the ways in which each device requires the user to reflect critically on the value and status of contemporary ways of making knowledge. With a range of genres and styles of writing, each chapter presents the device as a hinge between theory and practice, ontology and epistemology, and explores whether and how methods can be inventive. The book will be a valuable resource for students and scholars of sociology and cultural studies.
Inventive Politicians and Ethnic Ascent in American Politics: The Uphill Elections of Italians and Mexicans to the U.S. Congress (Routledge Research in American Politics and Governance)
by Miriam JiménezThis innovative book investigates the process through which ethnic minorities penetrate into higher echelons of political power: specifically, how they succeed in getting elected to the U.S. Congress. Analysts today see ethnic politicians largely in relation to their collectivities, but by actually studying what ethnic minority politicians do and the issues they have faced, Jiménez's book offers an original perspective of analysis. Jiménez utilizes a ground-breaking comparative dataset of elected members of Congress organized upon the basis of national origin, the first available. Using the cases of Mexican-Americans and Italian-Americans, Jimenez analyzes and compares the different ways that these ethnic politicians have been elected to the national legislature from the beginning of the 20th century until the present. Her study examines Italian and Mexican-American politicians’ actions and interactions with local political parties, identifies various layers of political power that have influenced their successes and failures, and uncovers the strategies that they have used. Jimenez argues that the politically active segment of an ethnic group matters in the process of political incorporation of a group. She also asserts that regular access of ethnic groups into upper levels of political office and the full acceptance of new ethnic players only occurs as a consequence of an institutional change. Jiménez’s pioneering documentation and analysis of the strategies of ethnic minority politicians and the ways that political institutions have influenced these politicians is significant to scholars of political incorporation, race and ethnicity, and congressional elections. Her book demonstrates the need to reconsider several standard ideas of how minority representation occurs and deepens our understanding of the role that political institutions play in that process.
Invertebrate Justice: Extending The Boundaries of Non-Speciesist Green Criminology (Palgrave Studies in Green Criminology)
by Russil DurrantInvertebrates are the neglected majority of the animal world. Even though they make up over 95% of animal life, they rarely feature in discussions of speciesism, animal ethics or species justice. This book aims to extend the work of non-speciesist criminologists to argue for the idea of ‘invertebrate justice’. Utilizing green criminologist Rob White’s (2013) eco-justice perspective, the book demonstrates how our interactions with invertebrate species (insects, crustaceans, molluscs and so forth) cause a significant amount of harm to those animals themselves (species justice), the ecosystems in which they are embedded (ecological justice), and ultimately to humans (environmental justice). Across three sections, it provides an overview of the ways in which humans and invertebrates interact across a diverse range of contexts and reviews the literature on both invertebrate biodiversity and invertebrate sentience; builds a theoretical framework that can help us understand what invertebrate justice might mean; and tackles the difficult question of how best we can promote invertebrate justice in the future. It appeals to academics, environmental scientists, activists and policymakers.
Investigating Being in Organizations and Leadership: A Phenomenological Alternative
by Michael Fast Kim Malmbak MøllerThis book discusses the ontological foundation for organizational analysis and organizational life from a phenomenological perspective. The objective of this book is to provide the reader with an understanding of organizations that adequately takes into account the current philosophical knowledge regarding human nature. A key result of this analysis is that organizations are existentially founded human experiences of emotions, ethics, culture and narrative. This understanding of organizations is furthermore complicated by the existence of concepts of power, relationship, interaction and identity, which all can be perceived as contradicting notions of objectivity, professionalism and rationalism. The question is not whether this is an easy description to navigate nor apply, but rather where we go from here. This book would be of interest to students and scholars working on the philosophy of business, and academics in critical organization studies and alternative philosophy of organization. The book would also be of interest to people in all organization trying to understand everyday of dilemmas and contradictions.
Investigating Political Tolerance at Conservative Protestant Colleges and Universities (Routledge Research in Religion and Education)
by George Yancey Laurel Shaler Jerald H. WalzThis book aims to investigate the level of political tolerance at conservative Protestant colleges and universities. Through innovative and methodologically sophisticated techniques, the authors test the political openness of these institutions as a proxy for their willingness to accept opinions that fall outside of those held by their religious community. The purpose of this study is to determine if there is an insular environment at conservative Protestant institutions beyond religious obligations, or if these institutions are only restrictive as it concerns those theological commitments. Drawing from five distinct sets of data, the authors demonstrate that conservative Protestant institutions of higher education exhibit more political diversity and political tolerance than other institutions of higher education, including elite ‘Research 1’ institutions.
Investigating Prayer
by Ian OlverThis book relates the experience of researching, planning, and conducting a scientific study into intercessory prayer (prayer for others). The purpose of the study was to ascertain whether the impact of prayer could be measured in a formal study, based on the large number of anecdotal reports of efficacy. The study was a prospectively randomized double-blind trial that added prayer by an established Christian prayer group to conventional therapy for cancer. The unique design feature was that the primary endpoint was a change in a validated scale of spiritual well-being. The patients were informed that they were participating in a study about spiritual well-being and quality of life but remained blinded to the intervention. The initial observation from the baseline data was that spiritual well-being made a unique contribution to quality of life. The final outcome of the study was that there was a statistically significant difference in spiritual well-being favoring the prayer group. The background includes a fascinating review of the medical literature on the topic, which contains positive and negative studies that each attracts a vigorous debate about methodology, endpoints, and whether metaphysical phenomena can or should be studied using scientific methodology. The complementary and alternative medicine literature is also equivocal as to whether prayer, arguably the most common complementary medical therapy, should be included in the range of interventions grouped under that heading. In addition to reporting the background and results of the study, the book explores the reactions of a range of individuals to the trial, all of which help reflect on the nature of prayer.