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Dual-Process Theories of Numerical Cognition (SpringerBriefs in Philosophy)

by Mario Graziano

This book presents a philosophical interpretation to numerical cognition based on dual process theories and heuristics. It shows how investigations in cognitive science can shed light on issues traditionally raised by philosophers of mathematics. The analysis will also help readers to better understand the relationship between current neuroscientific research and the philosophical reflection on mathematics. The author seeks to explain the acquisition of mathematical concepts. To accomplish this, he needs to answer two questions. How can the concepts of approximate numerosity become an object of thought that is so accessible to our consciousness? How are these concepts refined and specified in such a way as to become numbers? Unfortunately, there is currently no model that can truly demonstrate the role of language in the development of numerical skills starting from approximate pre-verbal skills. However, the author details a solution to this problem: dual process theories. It is an approach widely used by theorists focusing on reasoning, decision making, social cognition, and consciousness. Here, he applies this approach to the studies on mathematical knowledge. He details the results brought about by psychological and neuroscientific studies conducted on numerical cognition by key neuroscientists. In the process, he develops the foundations of a new, potential philosophical explanation on mathematical knowledge.

Contesting History: Narratives of Public History

by Jeremy Black

Contesting History is an authoritative guide to the positive and negative applications of the past in the public arena and what this signifies for the meaning of history more widely. Using a global, non-Western model, Jeremy Black examines the employment of history by the state, the media, the national collective memory and others and considers its fundamental significance in how we understand the past.Moving from public life pre-1400 to the struggle of ideologies in the 20th century and contemporary efforts to find meaning in historical narratives, Jeremy Black incorporates a great deal of original material on governmental, social and commercial influences on the public use of history. This includes a host of in-depth case studies from different periods of history around the world, and coverage of public history in a wider range of media, including TV and film. Readers are guided through this material by an expansive introduction, section headings, chapter conclusions and a selected further reading list. Written with eminent clarity and breadth of knowledge, Contesting History is a key text for all students of public history and anyone keen to know more about the nature of history as a discipline and concept.

Intelligent Computer Mathematics: 11th International Conference, CICM 2018, Hagenberg, Austria, August 13-17, 2018, Proceedings (Lecture Notes in Computer Science #11006)

by Florian Rabe William M. Farmer Grant O. Passmore Abdou Youssef

​This book constitutes the refereed proceedings of the 11th International Conference on Intelligent Computer Mathematics, CICM 2018, held in Hagenberg, Austria, in August 2018. The 23 full papers presented were carefully reviewed and selected from a total of 36 submissions. The papers focos on the Calculemus, Digital Mathematics Libraries, and Mathematical Knowledge Management tracks which also correspond to the subject areas of the predecessor meetings. Orthogonally, the Systems and Projects track called for descriptions of digital resources, such as data and systems, and of projects, whether old, current, or new, and survey papers covering any topics of relevance to the CICM community.

Ten Gifts of the Demiurge: Proclus on Plato's Timaeus

by Emilie Kutash

Proclus' commentary on Plato's "Timaeus" is perhaps the most important surviving Neoplatonic commentary. In it Proclus contemplates nature's mysterious origins and at the same time employs the deductive rigour required to address perennial philosophical questions. Nature, for him, is both divine and mathematically transparent. He renders theories of Time, Eternity, Providence, Evil, Soul and Intellect and constructs an elaborate ontology that includes mathematics and astronomy. He gives ample play to pagan theology too, frequently lapsing into the arcane language of the "Chaldaean Oracles". "Ten Gifts of the Demiurge" is an essential companion to this rich but complex and densely wrought text, providing an analysis of its arguments and showing that it, like the cosmos Proclus reveres, is a living coherent whole. The book provides aides to understanding Proclus' work within the complex background of Neoplatonic philosophy, familiarising the reader with the political context of the Athenian school, analysing Proclus' key terminology, and giving background to the philosophical arguments and ancient sciences upon which Proclus draws.Above all, it helps the reader appreciate the varicoloured light that Proclus sheds on the secrets of nature.

An Ethical and Theological Appropriation of Heidegger’s Critique of Modernity: Unframing Existence

by Zohar Atkins

This book is at once a deeply learned and original reading of Heidegger and a primary text in its own right. It demonstrates the relevance of Heidegger’s thought in responding to the moral and religious challenges of 21st century existence. It shows that Heidegger’s project can be defended against many criticisms once its existential character is taken seriously. What emerges is a powerful exercise in thinking, not about Heidegger, but with and against him. As such, Atkins engages Heidegger as a means of advancing a defense of spirituality in the modern world that holds spirituality itself accountable for its lapses into the mundane. Addressing the most influential figures in recent Continental philosophy, such as Emmanuel Levinas and Theodor W. Adorno, this is a work that will be of timely use to philosophers, theologians, artists, and seekers.

An Ethical and Theological Appropriation of Heidegger’s Critique of Modernity: Unframing Existence

by Zohar Atkins

This book is at once a deeply learned and original reading of Heidegger and a primary text in its own right. It demonstrates the relevance of Heidegger’s thought in responding to the moral and religious challenges of 21st century existence. It shows that Heidegger’s project can be defended against many criticisms once its existential character is taken seriously. What emerges is a powerful exercise in thinking, not about Heidegger, but with and against him. As such, Atkins engages Heidegger as a means of advancing a defense of spirituality in the modern world that holds spirituality itself accountable for its lapses into the mundane. Addressing the most influential figures in recent Continental philosophy, such as Emmanuel Levinas and Theodor W. Adorno, this is a work that will be of timely use to philosophers, theologians, artists, and seekers.

The Art of Living: The Stoics on the Nature and Function of Philosophy

by John Sellars

Ancient philosophy was conceived as a way of life or an art of living, but if ancient philosophers did think that philosophy should transform an individual's way of life, then what conception of philosophy stands behind this claim? John Sellars explores this question through a detailed account of ancient Stoic ideas about the nature and function of philosophy. He considers the Socratic background to Stoic thinking about philosophy and Sceptical objections raised by Sextus Empiricus, and offers readings of late Stoic texts by Epictetus and Marcus Aurelius.Sellars argues that the conception of philosophy as an 'art of living', inaugurated by Socrates and developed by the Stoics, has persisted since antiquity and remains a living alternative to modern attempts to assimilate philosophy to the natural sciences. It also enables us to rethink the relationship between an individual's philosophy and their biography. The book appears here in paperback for the first time with a new Preface by the author.

Solon the Thinker: Political Thought in Archaic Athens

by John David Lewis

In Solon the Thinker, John Lewis presents the hypothesis that Solon saw Athens as a self-governing, self-supporting system akin to the early Greek conceptions of the cosmos. Solon's polis functions not through divine intervention but by its own internal energy, which is founded on the intellectual health of its people, depends upon their acceptance of justice and moderation as orderly norms of life, and leads to the rejection of tyranny and slavery in favour of freedom. But Solon's naturalistic views are limited; in his own life each person is subject to the arbitrary foibles of moira, the inscrutable fate that governs human life, and that brings us to an unknowable but inevitable death. Solon represents both the new rational, scientific spirit that was sweeping the Aegean - and a return to the fatalism that permeated Greek intellectual life. This first paperback edition contains a new appendix of translations of the fragments of Solon by the author.

Berlusconi ‘The Diplomat’: Populism and Foreign Policy in Italy

by Emidio Diodato Federico Niglia

This book analyses the foreign policy of Silvio Berlusconi, Italian media tycoon and politician who served as Prime Minister of Italy in four governments. The authors examine the Italian position in the international arena and its foreign policy tradition, as well as Berlusconi’s general political stance, Berlusconi’s foreign policy strategies and the impact of those strategies in Italy. Given that Berlusconi is considered a populist leader, the volume considers his foreign policy as an instance of populist foreign policy – an understudied but increasingly relevant topic.

Berlusconi ‘The Diplomat’: Populism and Foreign Policy in Italy

by Emidio Diodato Federico Niglia

This book analyses the foreign policy of Silvio Berlusconi, Italian media tycoon and politician who served as Prime Minister of Italy in four governments. The authors examine the Italian position in the international arena and its foreign policy tradition, as well as Berlusconi’s general political stance, Berlusconi’s foreign policy strategies and the impact of those strategies in Italy. Given that Berlusconi is considered a populist leader, the volume considers his foreign policy as an instance of populist foreign policy – an understudied but increasingly relevant topic.

The Sophists: An Introduction

by Patricia O'Grady

The Sophists were bold, exciting innovators with new ideas about Athenian society. The first to arrive, in about 444 BC, was Protagoras. During the last half of the fifth century BC he was followed by a succession of 'new age' itinerant instructors who were skilled in teaching. Mainly they taught the young ambitious men of Athens, instilling in them the skills they sought in order to become successful, that is, rich and influential. The Athenians flocked to hear them and enrol in their courses. The Sophists dared to charge high fees for their instruction and their students willingly paid.The Sophists were versatile and multi-talented. It seems that there was nothing one or other of them could not teach, but perhaps their greatest legacy to western society was their development of language, which, naturally, also benefited them in their work.Plato criticised the Sophists for promoting dangerous ideas which threatened the traditional structure of society. They taught their students how to argue convincingly and to turn the weaker argument into a winning argument against the stronger. Plato was markedly vitriolic in his criticism of the Sophists. Perhaps he was justified.Were the Sophists clever, rather than wise? Where does the truth lie? This book, with its lively, comprehensive treatment of the subject by twenty leading scholars in the field, will help the reader to decide.

Mathematical Logic: On Numbers, Sets, Structures, and Symmetry (Springer Graduate Texts in Philosophy #3)

by Roman Kossak

This book, presented in two parts, offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions. Its first part, Logic Sets, and Numbers, shows how mathematical logic is used to develop the number structures of classical mathematics. The exposition does not assume any prerequisites; it is rigorous, but as informal as possible. All necessary concepts are introduced exactly as they would be in a course in mathematical logic; but are accompanied by more extensive introductory remarks and examples to motivate formal developments. The second part, Relations, Structures, Geometry, introduces several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions, and shows how they are used to study and classify mathematical structures. Although more advanced, this second part is accessible to the reader who is either already familiar with basic mathematical logic, or has carefully read the first part of the book. Classical developments in model theory, including the Compactness Theorem and its uses, are discussed. Other topics include tameness, minimality, and order minimality of structures. The book can be used as an introduction to model theory, but unlike standard texts, it does not require familiarity with abstract algebra. This book will also be of interest to mathematicians who know the technical aspects of the subject, but are not familiar with its history and philosophical background.

Muslim Public Opinion Toward the International Order: Support for International and Regional Actors

by Mujtaba Ali Isani

This book analyses the attitudes of Muslim citizens toward international and regional actors. In essence, the project examines whether Muslim public opinion is in favor of the current international order and if there is an ideal type of international governance perceived by Muslim citizens. The author connects the analysis to the literature of international public opinion and to the research on social legitimacy of international and global governance. It is ideal for scholarly audiences interested in Islamic, International and Global Governance Studies.

Muslim Public Opinion Toward the International Order: Support for International and Regional Actors

by Mujtaba Ali Isani

This book analyses the attitudes of Muslim citizens toward international and regional actors. In essence, the project examines whether Muslim public opinion is in favor of the current international order and if there is an ideal type of international governance perceived by Muslim citizens. The author connects the analysis to the literature of international public opinion and to the research on social legitimacy of international and global governance. It is ideal for scholarly audiences interested in Islamic, International and Global Governance Studies.

Philosophy and Exegesis in Simplicius: The Methodology of a Commentator

by Han Baltussen

This is the first book-length study in English of the interpretative and philosophical approach of the commentaries of Simplicius of Cilicia (c. AD 530). Simplicius' work, marked by doctrinal complexity and scholarship, is unusually self-conscious, learned and rich in its sources, and he is therefore one of those rare authors who is of interest to ancient philosophers, historians and classicists alike. Here, Han Baltussen argues that our understanding of Simplicius' methodology will be greatly enhanced if we study how his scholarly approach impacts on his philosophical exegesis. His commentaries are placed in their intellectual context and several case studies shed light on his critical treatment of earlier philosophers and his often polemical use of previous commentaries. "Philosophy and Exegesis in Simplicius" not only clarifies the objectives, pre-suppositions and impact of Simplicius' work, but also illustrates how, as a competent philosopher explicating Aristotelian and Platonic ideas, he continues and develops a method that pursues philosophy by way of exegetical engagement with earlier thinkers and commentators. The investigation opens up connections with broader issues, such as the reception of Presocratic philosophy within the commentary tradition, the nature and purpose of his commentaries, and the demise of pagan philosophy.

Marx's Concept of Man: Including 'Economic and Philosophical Manuscripts' (Bloomsbury Revelations)

by Erich Fromm Karl Marx

Erich Fromm (1900 - 1980) is widely regarded as one of the most important psychoanalytical thinkers of the 20th century. Besides his influence on modern psychology, he was also a key member of the Frankfurt School, and became one of the founders of the socialist humanist movement. In publishing Marx's Concept of Man in 1961, Fromm presented to the English-speaking world for the first time Karl Marx's then recently discovered Economic and Philosophical Manuscripts. Including the Manuscripts and many other philosophical writings by Marx as well as Fromm's own extended response, many of these writings have since become recognised as important works in their own right. Fromm stresses Marx's humanist philosophy and challenges both contemporary Western ignorance of Marx and Soviet corruptions of his work. Fromm's analysis of Marx's work and his dissemination of these neglected writings by Marx himself fundamentally altered the prevailing discourse about Marxism, revolutionising contemporary thought and providing a formative influence for the development of the New Left.

I and Thou (Bloomsbury Revelations)

by Martin Buber

Martin Buber (1897-19) was a prolific and influential teacher and writer, who taught philosophy at the Hebrew University in Jerusalem from 1939 to 1951. Having studied philosophy and art at the universities of Vienna, Zurich and Berlin, he became an active Zionist and was closely involved in the revival of Hasidism.Recognised as a landmark of twentieth century intellectual history, I and Thou is Buber's masterpiece. In this book, his enormous learning and wisdom are distilled into a simple, but compelling vision. It proposes nothing less than a new form of the Deity for today, a new form of human being and of a good life. In so doing, it addresses all religious and social dimensions of the human personality.

Teaching Virtue: The Contribution of Religious Education

by Marius Felderhof Penny Thompson

In much of the world, religious traditions are seriously valued but, in the context of religious plurality, this sets educationalists an enormous challenge. This book provides a way forward in exploring religious life whilst showing how bridges might be built between diverse religious traditions. Teaching Virtue puts engagement with religious life - and virtue ethics - at the heart of religious education, encouraging 'learning from' religion rather than 'learning about' religion. The authors focus on eight key virtues, examining these for what they can offer of religious value to pupils and teachers. Individual chapters put the discussion into context by offering a vision of what religious education in the future could look like; the need for responsible religious education; a historical review of moral education and an introduction to virtue ethics. Lesson plans and examples demonstrate how the virtues may be approached in the classroom, making it an invaluable guide for all involved in teaching religious education.

Dying for Ideas: The Dangerous Lives of the Philosophers

by Costica Bradatan

What do Socrates, Hypatia, Giordano Bruno, Thomas More, and Jan Patocka have in common? First, they were all faced one day with the most difficult of choices: stay faithful to your ideas and die or renounce them and stay alive. Second, they all chose to die. Their spectacular deaths have become not only an integral part of their biographies, but are also inseparable from their work. A "death for ideas" is a piece of philosophical work in its own right; Socrates may have never written a line, but his death is one of the greatest philosophical best-sellers of all time.Dying for Ideas explores the limit-situation in which philosophers find themselves when the only means of persuasion they can use is their own dying bodies and the public spectacle of their death. The book tells the story of the philosopher's encounter with death as seen from several angles: the tradition of philosophy as an art of living; the body as the site of self-transcending; death as a classical philosophical topic; taming death and self-fashioning; finally, the philosophers' scapegoating and their live performance of a martyr's death, followed by apotheosis and disappearance into myth.While rooted in the history of philosophy, Dying for Ideas is an exercise in breaking disciplinary boundaries. This is a book about Socrates and Heidegger, but also about Gandhi's "fasting unto death" and self-immolation; about Girard and Passolini, and self-fashioning and the art of the essay.

The Bloomsbury Companion to Philosophical Logic (Bloomsbury Companions)

by Leon Horsten Richard Pettigrew

Logical methods are used in all area of philosophy. By introducing and advancing central to topics in the discipline, The Bloomsbury Companion to Philosophical Logic emphasizes the crucial role logic plays in understanding philosophical problems. Covering stages in the history of logic and of modern logic, this comprehensive Companion looks ahead to new areas of research and explores issues pertaining to classical logic and its rivals, semantics for parts of natural language, and the application of logic in the theory of rationality. Experts in the field provide a mix of technical chapters that offer excellent encyclopaedias of results in the area and chapters of philosophical discussions that survey a range of philosophical positions. To facilitate further study, this volumes also includes a series of research tools such as a detailed index, an up-to-date list of resources and an annotated bibliography. Balancing technical exposition with philosophical discussion, The Bloomsbury Companion to Philosophical Logic not only provides students and lecturers with the basis of a course in philosophical logic, it offers anyone working in this key area of contemporary philosophy a valuable research resource.

Statues: The Second Book of Foundations

by Michel Serres Randolph Burks

In this first English translation of one of his most important works, Michel Serres presents the statue as more than a static entity: for Serres it is the basis for knowledge, society, the subject and object, the world and experience. Serres demonstrates how sacrificial art founded and still persists in society and reflects on the centrality of death and the statufied dead body to the human condition.Each section covers a different time period and statuary topic, ranging from four thousand years ago to 1986; from Baal, the paintings of Carpaccio, and the Eiffel Tower, to Rodin's The Gates of Hell, the Challenger disaster and the literature of Maupassant, La Fontaine and Jules Verne. Expository, lyrical, fictionalized and hallucinatory, Statues plays with time and place, history and story in order to provoke us into thinking in entirely new ways.Through mythic and poetic meditations on various kinds of descent into the underworld and new insights into the relation of the subject and object and their foundation in death, Statues contains great treasures and provocations for philosophers, literary critics, art historians and sociologists.

A Political Theory of Post-Truth

by Ignas Kalpokas

This book combines political theory with media and communications studies in order to formulate a theory of post-truth, concentrating on the latter’s preconditions, context, and functions in today’s societies. Contrary to the prevalent view of post-truth as primarily manipulative, it is argued that post-truth is, instead, a collusion in which audiences willingly engage with aspirational narratives co-created with the communicators. Meanwhile, the broader meta-framework for post-truth is provided by mediatisation—increasing subjection of a variety of social spheres to media logic and the primacy of media in everyday human activities. Ultimately, post-truth is governed by collective efforts to maximise the pleasure of encountering the world and attempts to set hegemonic benchmarks for such pleasure.

A Political Theory of Post-Truth

by Ignas Kalpokas

This book combines political theory with media and communications studies in order to formulate a theory of post-truth, concentrating on the latter’s preconditions, context, and functions in today’s societies. Contrary to the prevalent view of post-truth as primarily manipulative, it is argued that post-truth is, instead, a collusion in which audiences willingly engage with aspirational narratives co-created with the communicators. Meanwhile, the broader meta-framework for post-truth is provided by mediatisation—increasing subjection of a variety of social spheres to media logic and the primacy of media in everyday human activities. Ultimately, post-truth is governed by collective efforts to maximise the pleasure of encountering the world and attempts to set hegemonic benchmarks for such pleasure.

A Mystical Philosophy: Transcendence and Immanence in the Works of Virginia Woolf and Iris Murdoch

by Donna J. Lazenby

Revealing, in an original and provocative study, the mystical contents of the works of famous atheists Virginia Woolf and Iris Murdoch, Donna Lazenby shows how these thinkers' refusal to construe worldviews on available reductive models brought them to offer radically alternative pictures of life which maintain its mysteriousness, and promote a mystical way of knowing. A Mystical Philosophy contributes to the contemporary resurgence of interest in Spirituality, but from an entirely new direction.This book provides a warning against reductive scientific and philosophical models that impoverish our understanding of ourselves and the world, and a powerful endorsement of ways of knowing that give art, and a restored concept of contemplation, their consummative place.

Marx's 'Grundrisse': A Reader's Guide (Reader's Guides)

by Simon Choat

The Grundrisse is widely regarded as one of Marx's most important texts, with many commentators claiming it is the centrepiece of his entire oeuvre. It is also, however, a notoriously difficult text to understand and interpret. In this - the first guide and introduction to reading the Grundrisse - Simon Choat helps us to make sense of a text that is both a first draft of Capital and a major work in its own right. As well as offering a detailed commentary on the entire text, this guide explains the Grundrisse's central themes and arguments and highlights its impact and influence. The Grundrisse's discussions of money, labour, nature, freedom, the role of machinery, and the development and dynamics of capitalism have influenced generations of thinkers, from Anglo-American historians such as Eric Hobsbawm and Robert Brenner to Continental philosophers like Antonio Negri and Gilles Deleuze, as well as offering vital insights into Marx's methodology and the trajectory of his thought. Contemporary examples are used throughout this guide both to illuminate Marx's terminology and concepts and to illustrate the continuing relevance of the Grundrisse. Readers will be offered guidance on:-Philosophical and Historical Context-Key Themes-Reading the Text-Reception and Influence

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