METAMATHEMATICS AND THE PHILOSOPHICAL TRADITION
Book ID/图书代码： 03710618C00001
English Summary/英文概要： Metamathematics and the Philosophical Tradition is the first work to explore in such historical depth the relationship between fundamental philosophical quandaries regarding self-reference and meta-mathematical notions of consistency and incompleteness.
Using the insights of twentieth-century logicians from Gödel through Hilbert and their successors, this volume revisits the writings of Aristotle, the ancient skeptics, Anselm, and enlightenment and seventeenth and eighteenth century philosophers Leibniz, Berkeley, Hume, Pascal, Descartes, and Kant to identify ways in which these both encode and evade problems of a priori definition and self-reference. The final chapters critique and extend more recent insights of late 20th-century logicians and quantum physicists, and offer new applications of the completeness theorem as a means of exploring "metatheoretical ascent" and the limitations of scientific certainty.
Broadly syncretic in range, Metamathematics and the Philosophical Tradition addresses central and recurring problems within epistemology. The volume’s elegant, condensed writing style renders accessible its wealth of citations and allusions from varied traditions and in several languages. Its arguments will be of special interest to historians and philosophers of science and mathematics, particularly scholars of classical skepticism, the Enlightenment, Kant, ethics, and mathematical logic.
Chinese Summary/中文概要： 元数学和哲学传统是在这一历史深度探索的第一个作品，它涉及到关于自我参照的基本哲学问题和关于一致性和不完全性的元数学概念之间的关系。
用二十世纪逻辑学家的见解从哥德尔通过希尔伯特和他们的继任者，这卷再次使用亚里士多德的著作，古代的怀疑论者，安瑟伦，启蒙运动和17、18世纪的哲学家莱布尼茨,伯克利，休谟，帕斯卡，笛卡尔和康德识别这些编码和逃避的方式预先定义和自我指涉的问题。最后几章对20世纪晚期逻辑学家和量子物理学家的观点进行了批判和扩展，并提出了完整定理的新应用，作为探索“元理论提升”和科学确定性的局限性的手段。
广义的融合，元数学和哲学传统在认识论中解决中心和反复出现的问题。这本书的优美、简洁的写作风格，使读者可以从各种不同的传统和多种语言中获得大量的引用和典故。它的论点将对科学和数学的历史学家和哲学家特别感兴趣，特别是古典怀疑论的学者，启蒙运动，康德，伦理学和数学逻辑。（WYL）
Awards/获奖情况：
About the Author/作者介绍： 威廉姆•布斯，美国爱荷华大学。
William Boos (+), University of Iowa, USA.
Format:HARDCOVER
Rights Status/版权销售情况：Simplified Chinese/简体中文：AVAILABLE
Complex/Traditional Chinese/繁体中文：AVAILABLE
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