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Mathematical platonism is the view that mathematical statements are true of real mathematical objects like numbers, shapes, and sets. One central problem with platonism is that numbers, shapes, sets, and the like are not perceivable by our senses. In contemporary philosophy, the most common defense of platonism uses what is known as the indispensability argument. According to the indispensabilist, we can know about mathematics because mathematics is essential to science. Platonism is among the most persistent philosophical views. Our mathematical beliefs are among our most entrenched. They have survived the demise of millennia of failed scientific theories. Once established, mathematical theories are rarely rejected, and never for reasons of their inapplicability to empirical science. Autonomy Platonism and the Indispensability Argument is a defense of an alternative to indispensability platonism. The autonomy platonist believes that mathematics is independent of empirical science: there is purely mathematical evidence for purely mathematical theories which are even more compelling to believe than empirical science. Russell Marcus begins by contrasting autonomy platonism and indispensability platonism. He then argues against a variety of indispensability arguments in the first half of the book. In the latter half, he defends a new approach to a traditional platonistic view, one which includes appeals to a priori but fallible methods of belief acquisition, including mathematical intuition, and a natural adoption of ordinary mathematical methods. In the end, Marcus defends his intuition-based autonomy platonism against charges that the autonomy of mathematics is viciously circular. This book will be useful to researchers, graduate students, and advanced undergraduates with interests in the philosophy of mathematics or in the connection between science and mathematics.
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
This is a concise, pocket sized English to Lao and Lao to English
Dictionary
Thai national artist Thawan Duchanee has spent his life creating art that deeply reflects Buddhist philosophy. His internationally renowned art is masterful both for its intricacy and for its subtle portrayal of Buddhism. Thawan expresses Buddhist wisdom with incredible versatility. His artworks depict the dangers of doubt, lust, fear, and lack of concentration expose humankind's pursuit of pleasure and escape from pain and illustrate virtues exemplified in the previous lives of the Buddha. With over one hundred images, this book examines themes hidden within the art and guides the reader through some of Thawan's most interesting works. Often told in his own words, this book offers insights into Thawan's creative genius, explores his philosophy on the arts, examines his famous signature, and recounts his life story. It is fascinating reading for all those interested in Thai art and Buddhism. Russell Marcus is the author of "Lao Proverbs" and "The Guide to Japanese Food and Restaurants."
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
“IN MANY LANGUAGES, ‘UNDERSTANDING’ ALSO COMES FROM THE IDEA OF PUTTING SOMETHING INSIDE YOUR BODY” – CAMILLE HENROT Over the past twenty years, Camille Henrot has developed a critically acclaimed practice that moves seamlessly between drawing, painting, sculpture, installation, and film. Mother Tongue is Henrot’s first publication focused solely on painting and drawing, bringing together over 200 works from the series System of Attachment, Wet Job, and Soon, created between 2018 and 2022. This recent body of work addresses the ambivalent nature of care and the tension between the simultaneous developmental need for attachment and independence, beginning at infancy and continuing throughout life. Her deeply personal and intimate interrogations ultimately relate to broader questions such as the expectations placed on mothers and the representation of the female body. This richly illustrated catalogue is accompanied by texts from Emily LaBarge, Legacy Russell, Marcus Steinweg, Hélene Cixous, Seamus Kealy, and a conversation with Camille Henrot and curator Julika Bosch.
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