Analysis and Synthesis in Mathematics: History and Philosophy (Boston Studies in the Philosophy and History of Science)

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9781402002557: Analysis and Synthesis in Mathematics: History and Philosophy (Boston Studies in the Philosophy and History of Science)

Time and again, philosophy, in trying to untangle the issues surrounding the an­ alytic-synthetic distinction, has doubted that such a distinction can significantly be drawn at all. We think, in face of the varied and age-old discussions on it, that such reflections amount only to one more documentation of the tenacity of the problems behind this distinction. We could even be justified in promoting the thesis that this distinction refers to the complex relationship between the universe of meanings and the universe of objects and thus concerns each domain of human thinking where a form of objectivity is pursued. If one accepts such a thesis, one will find it very natural that this distinction has so frequently occurred in the history of mathematics and in philosophical discussions about mathematics. Since Plato, we may encounter quite a number of interpretations of the ideas of analysis and synthesis, which are related in one sense or other with mathematical thought. Mathematicians of all ages have ap­ pealed to them in order to distinguish different forms and styles in their argumen­ tation and expositions. Philosophers have referred to them for clarification of the specific character of mathematics in its relations to knowledge in general. In the present volume various instances of the analytic-synthetic distinction are discussed in relation to the history and philosophy of mathematics, and some new perspectives about possible interpretations and consequences are suggested.

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`... is to be recommended to anyone interested in the history and philosophy of mathematics... historians of modern mathematics and even historians of modern science in general will greatly enjoy some of the excellent articles in its historial section.'
ISIS, 91:1 (2000)

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Descripción Kluwer Academic Publishers, United States, 2002. Paperback. Estado de conservación: New. Language: English . Brand New Book ***** Print on Demand *****.Time and again, philosophy, in trying to untangle the issues surrounding the an- alytic-synthetic distinction, has doubted that such a distinction can significantly be drawn at all. We think, in face of the varied and age-old discussions on it, that such reflections amount only to one more documentation of the tenacity of the problems behind this distinction. We could even be justified in promoting the thesis that this distinction refers to the complex relationship between the universe of meanings and the universe of objects and thus concerns each domain of human thinking where a form of objectivity is pursued. If one accepts such a thesis, one will find it very natural that this distinction has so frequently occurred in the history of mathematics and in philosophical discussions about mathematics. Since Plato, we may encounter quite a number of interpretations of the ideas of analysis and synthesis, which are related in one sense or other with mathematical thought. Mathematicians of all ages have ap- pealed to them in order to distinguish different forms and styles in their argumen- tation and expositions. Philosophers have referred to them for clarification of the specific character of mathematics in its relations to knowledge in general. In the present volume various instances of the analytic-synthetic distinction are discussed in relation to the history and philosophy of mathematics, and some new perspectives about possible interpretations and consequences are suggested. Softcover reprint of the original 1st ed. 1997. Nº de ref. de la librería AAV9781402002557

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Descripción Springer-Verlag New York Inc., United States, 2002. Paperback. Estado de conservación: New. Language: English . Brand New Book ***** Print on Demand *****. Time and again, philosophy, in trying to untangle the issues surrounding the an- alytic-synthetic distinction, has doubted that such a distinction can significantly be drawn at all. We think, in face of the varied and age-old discussions on it, that such reflections amount only to one more documentation of the tenacity of the problems behind this distinction. We could even be justified in promoting the thesis that this distinction refers to the complex relationship between the universe of meanings and the universe of objects and thus concerns each domain of human thinking where a form of objectivity is pursued. If one accepts such a thesis, one will find it very natural that this distinction has so frequently occurred in the history of mathematics and in philosophical discussions about mathematics. Since Plato, we may encounter quite a number of interpretations of the ideas of analysis and synthesis, which are related in one sense or other with mathematical thought. Mathematicians of all ages have ap- pealed to them in order to distinguish different forms and styles in their argumen- tation and expositions. Philosophers have referred to them for clarification of the specific character of mathematics in its relations to knowledge in general. In the present volume various instances of the analytic-synthetic distinction are discussed in relation to the history and philosophy of mathematics, and some new perspectives about possible interpretations and consequences are suggested. Softcover reprint of the original 1st ed. 1997. Nº de ref. de la librería AAV9781402002557

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Descripción Springer, 2001. Paperback. Estado de conservación: NEW. 9781402002557 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0411858

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Descripción Springer-Verlag New York Inc., United States, 2002. Paperback. Estado de conservación: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Time and again, philosophy, in trying to untangle the issues surrounding the an- alytic-synthetic distinction, has doubted that such a distinction can significantly be drawn at all. We think, in face of the varied and age-old discussions on it, that such reflections amount only to one more documentation of the tenacity of the problems behind this distinction. We could even be justified in promoting the thesis that this distinction refers to the complex relationship between the universe of meanings and the universe of objects and thus concerns each domain of human thinking where a form of objectivity is pursued. If one accepts such a thesis, one will find it very natural that this distinction has so frequently occurred in the history of mathematics and in philosophical discussions about mathematics. Since Plato, we may encounter quite a number of interpretations of the ideas of analysis and synthesis, which are related in one sense or other with mathematical thought. Mathematicians of all ages have ap- pealed to them in order to distinguish different forms and styles in their argumen- tation and expositions. Philosophers have referred to them for clarification of the specific character of mathematics in its relations to knowledge in general. In the present volume various instances of the analytic-synthetic distinction are discussed in relation to the history and philosophy of mathematics, and some new perspectives about possible interpretations and consequences are suggested. Softcover reprint of the original 1st ed. 1997. Nº de ref. de la librería LIE9781402002557

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Descripción Springer, 2001. Paperback. Estado de conservación: New. Softcover reprint of the origina. This item is printed on demand. Nº de ref. de la librería DADAX1402002556

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