Frege Explained


Book Description

What is the number one? How can we be sure that 2+2=4? These apparently ssimple questions have perplexed philosophers for thousands of years, but discussion of them was transformed by the German philosopher Gottlob Frege (1848-1925). Frege (pronounced Fray-guh)believed that arithmetic and all mathematics are derived from logic, and to prove this he developed a completely new approach to logic and numbers. Joan Weiner presents a very clear outline of Frege's life and ideas, showing how his thinking evolved through successive books and articles.




Necessary Beings


Book Description

Bob Hale presents a broadly Fregean approach to metaphysics, according to which ontology and modality are mutually dependent upon one another. He argues that facts about what kinds of things exist depend on facts about what is possible. Modal facts are fundamental, and have their basis in the essences of things—not in meanings or concepts.




Frege


Book Description

What is the number one? How do we know that 2+2=4? These apparently simple questions are in fact notoriously difficult to answer, and in one form or other have occupied philosophers from ancient times to the present. Gottlob Frege's conviction that the truths of arithmetic, and mathematics more generally, are derived from self-evident logical truths formed the basis of a systematic project which revolutionized logic, and founded modern analytic philosophy. In this accessible and stimulating introduction, Joan Weiner traces the development of Frege's thought from his invention of a powerful new logical language in Begriffsschrift, through his explication of his project in the Foundations of Arithmetic and famous papers such as 'On Sense and Reference', to the brilliant, but ultimately doomed, presentation of the system in Basic Laws of Arithmetic. At each stage, she discusses Frege's motivations in a way which enables the modern reader to appreciate the originality, clarity, and profundity of his thought. Past Masters is a series of concise, lucid, authoritative introducitons to the thought of leading intellectual figures of the past whose ideas still influence the way we think today.




Deleuze, Bergson, Merleau-Ponty


Book Description

Deleuze, Bergson, Merleau-Ponty: The Logic and Pragmatics of Creation, Affective Life, and Perception offers the only full-length examination of the relationships between Deleuze, Bergson and Merleau-Ponty. Henri Bergson (1859–1941), Maurice Merleau-Ponty (1908-1961), and Gilles Deleuze (1925–1995) succeeded one another as leading voices in French philosophy over a span of 136 years. Their relationship to one another's work involved far more than their overlapping lifetimes. Bergson became both the source of philosophical insight and a focus of criticism for Merleau-Ponty and Deleuze. Deleuze criticized Merleau-Ponty's phenomenology as well as his interest in cognitive and natural science. Author Dorothea Olkowski points out that each of these philosophers situated their thought in relation to their understandings of crucial developments and theories taken up in the history and philosophy of science, and this has been difficult for Continental philosophy to grasp. She articulates the differences between these philosophers with respect to their disparate approaches to the physical sciences and with how their views of science function in relation to their larger philosophical projects. In Deleuze, Bergson, Merleau-Ponty, Olkowski examines the critical areas of the structure of time and memory, the structure of consciousness, and the question of humans' relation to nature. She reveals that these philosophers are working from inside one another's ideas and are making strong claims about time, consciousness, reality, and their effects on humanity that converge and diverge. The result is a clearer picture of the intertwined workings of Continental philosophy and its fundamental engagement with the sciences.




The Basic Laws of Arithmetic


Book Description




Frege


Book Description

Gottlob Frege (1848–1925) is one of the founding figures of analytic philosophy, whose contributions to logic, philosophical semantics, philosophy of language, and philosophy of mathematics set the agenda for future generations of theorists in these and related areas. Dale Jacquette's lively and incisive biography charts Frege's life from its beginnings in small-town north Germany, through his student days in Jena, to his development as an enduringly influential thinker. Along the way Jacquette considers Frege's ground-breaking Begriffschrift (1879), in which he formulated his 'ideal logical language', his magisterial Grundgesetze der Arithmetik (1893 and 1903), and his complex relation to thinkers including Husserl and especially Russell, whose Paradox had such drastic implications for Frege's logicism. Jacquette concludes with a thoughtful assessment of Frege's legacy. His rich and informative biography will appeal to all who are interested in Frege's philosophy.




The Foundations of Arithmetic


Book Description

A philosophical discussion of the concept of number In the book, The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, Gottlob Frege explains the central notions of his philosophy and analyzes the perspectives of predecessors and contemporaries. The book is the first philosophically relevant discussion of the concept of number in Western civilization. The work went on to significantly influence philosophy and mathematics. Frege was a German mathematician and philosopher who published the text in 1884, which seeks to define the concept of a number. It was later translated into English. This is the revised second edition.




Frege


Book Description

No one has figured more prominently in the study of German philosopher Gottlob Frege than Michael Dummett. This highly acclaimed book is a major contribution to the philosophy of language as well as a systematic interpretation of Frege, indisputably the father of analytic philosophy. Frege: Philosophy of Language remains indispensable for an understanding of contemporary philosophy. Harvard University Press is pleased to reissue this classic book in paperback.




Phenomenology Explained


Book Description

Phenomenology is one of the most important and influential philosophical movements of the last one hundred years. It began in 1900, with the publication of a massive two-volume work, Logical Investigations, by a Czech-German mathematician, Edmund Husserl. It proceeded immediately to exert a strong influence on both philosophy and the social sciences. For example, phenomenology provided the central inspiration for the existentialist movement, as represented by such figures as Martin Heidegger in Germany and Jean-Paul Sartre in France. Subsequent intellectual currents in Europe, when they have not claimed phenomenology as part of their ancestry, have defined themselves in opposition to phenomenology. Thus, to give just one example, the first two works of Jacques Derrida, the father of deconstruction, were devoted to criticisms of Husserl’s phenomenological works. In the English-speaking world, where “analytic philosophy” dominates, phenomenology has recently emerged as a hot topic after decades of neglect. This has resulted from a dramatic upswing in interest in consciousness, the condition that makes all experience possible. Since the special significance of phenomenology is that it investigates consciousness, analytic philosophers have begun to turn to it as an underutilized resource. For the same reason, Husserl’s work is now widely studied by cognitive scientists. The current revival of interest in phenomenology also stems from the recognition that not every kind of question can be approached by means of experimental techniques. Not all questions are scientific in that sense. Thus, if there is to be knowledge in logic, mathematics, ethics, political philosophy, aesthetics, epistemology (theory of knowledge), psychology (from the inside), and the study of consciousness, among others, another method is clearly needed. Phenomenology is an attempt to rectify this. Its aim is to focus on the world as given in experience, and to describe it with unprecedented care, rigor, subtlety, and completeness. This applies not only to the objects of sense experience, but to all phenomena: moral, aesthetic, political, mathematical, and so forth. One can avoid the obscure problem of the real, independent existence of the objects of experience in these domains by focusing instead on the objects, as experienced, themselves, along with the acts of consciousness which disclose them. Phenomenology thus opens up an entirely new field of investigation, never previously explored. Rather than assuming, or trying to discern, what exists outside the realm of the mental, and what causal relations pertain to these extra-mental entities, we can study objects strictly as they are given, that is, as they appear to us in experience. This book explains what phenomenology is and why it is important. It focuses primarily on the works and ideas of Husserl, but also discusses important later thinkers, giving special emphasis to those whose contributions are most relevant to contemporary concerns. Finally, while Husserl’s greatest contributions were to the philosophical foundations of logic, mathematics, knowledge, and science, this book also addresses extensively the relatively neglected contribution of phenomenology to value theory, especially ethics, political philosophy, and aesthetics.




Gottlob Frege: Frege's philosophy of logic


Book Description

This collection brings together recent scholarship on Frege, including new translations of German material which is made available to Anglophone scholars for the first time.