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In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do-and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications?Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics' exceptional consensus is due to the subject's underlying reality.The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.
Mathematics --- Benedetto. --- Black-Scholes formula. --- Eugene Wigner. --- Friedrich W.J. Schelling. --- George Lakoff. --- Gilles Deleuze. --- Hermann Cohen. --- Hilary Putnam. --- Johann G. Fichte. --- Logic of Sensation. --- Mark Steiner. --- Rafael Nez. --- Stanislas Dehaene. --- Vincent Walsh. --- Water J. Freeman III. --- abbaco. --- algebra. --- arithmetic. --- authority. --- cognitive theory. --- combinatorics. --- conceptual freedom. --- constraints. --- economy. --- gender role stereotypes. --- generating functions. --- geometry. --- inferences. --- infinities. --- infinity. --- mathematical cognition. --- mathematical concepts. --- mathematical cultures. --- mathematical domains. --- mathematical entities. --- mathematical evolution. --- mathematical interpretation. --- mathematical language. --- mathematical metaphor. --- mathematical norms. --- mathematical objects. --- mathematical practice. --- mathematical signs. --- mathematical standards. --- mathematical statements. --- mathematics. --- natural order. --- natural sciences. --- nature. --- negative numbers. --- number sense. --- option pricing. --- philosophy of mathematics. --- reality. --- reason. --- relevance. --- semiosis. --- sexuality. --- stable marriage problem. --- Philosophy --- History.
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Steven Wasserstrom undertakes a detailed analysis of the "creative symbiosis" that existed between Jewish and Muslim religious thought in the eighth through tenth centuries. Wasserstrom brings the disciplinary approaches of religious studies to bear on questions that have been examined previously by historians and by specialists in Judaism and Islam. His thematic approach provides an example of how difficult questions of influence might be opened up for broader examination.In Part I, "Trajectories," the author explores early Jewish-Muslim interactions, studying such areas as messianism, professions, authority, and class structure and showing how they were reshaped during the first centuries of Islam. Part II, "Constructions," looks at influences of Judaism on the development of the emerging Shi'ite community. This is tied to the wider issue of how early Muslims conceptualized "the Jew." In Part III, "Intimacies," the author tackles the complex "esoteric symbiosis" between Muslim and Jewish theologies. An investigation of the milieu in which Jews and Muslims interacted sheds new light on their shared religious imaginings. Throughout, Wasserstrom expands on the work of social and political historians to include symbolic and conceptual aspects of interreligious symbiosis. This book will interest scholars of Judaism and Islam, as well as those who are attracted by the larger issues exposed by its methodology.Originally published in 1995.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Islam --- Jews --- Judaism --- Relations --- Judaism. --- Intellectual life. --- Islam. --- History. --- Hebrews --- Israelites --- Jewish people --- Jewry --- Judaic people --- Judaists --- Ethnology --- Religious adherents --- Semites --- Religions --- Religion --- Adab (Islam). --- Ahmad al-Buni. --- Al-Amin. --- Al-Baladhuri. --- Al-Masudi. --- Allusion. --- Ancient Canaanite religion. --- Ancient Judaism (book). --- Arabic name. --- Arabs. --- Ark of the Covenant. --- B'nai Moshe. --- Bar Hebraeus. --- Baraita. --- Batiniyya. --- Berakhot (Talmud). --- Book of Daniel. --- Book of Leviticus. --- Comparative religion. --- Conversion to Judaism. --- Court Jew. --- Covenanter. --- Dual naming. --- Economy. --- Ethnic group. --- Ghulat. --- Halakha. --- Hanafi. --- Hebrew Bible. --- Hebrew name. --- Hermann Cohen. --- Homer. --- Husayn ibn Ali. --- Interfaith dialogue. --- Islam and the West. --- Islamic religious leaders. --- Islamic–Jewish relations. --- Israel. --- Israelites. --- Jewish Christian. --- Jewish diaspora. --- Jewish eschatology. --- Jewish history. --- Jewish leadership. --- Jewish mysticism. --- Jewish philosophy. --- Jewish prayer. --- Jewish religious movements. --- Jewish studies. --- Jews. --- Judah Halevi. --- Judeo-Christian. --- Julius Wellhausen. --- Karaite Judaism. --- Kitab al-Aghani. --- Kunya (Arabic). --- Law of Moses. --- Levantines (Latin Christians). --- Maimonides. --- Medium of exchange. --- Menahem. --- Merkava. --- Messianic Age. --- Messianism. --- Metatron. --- Moshe Gil. --- Muhammad ibn al-Hanafiyyah. --- Muslim. --- Muslims (nationality). --- Nation state. --- Norman Stillman. --- Persian Jews. --- Quran. --- Quraysh. --- Rabbinic Judaism. --- Reconstructionist Judaism. --- Religion. --- Religious text. --- Sectarianism. --- Sefer (Hebrew). --- Semitic people. --- Shema Yisrael. --- Shia Islam. --- Sikhism. --- Solomon Zeitlin. --- Solomon ibn Gabirol. --- Spread of Islam. --- Sunni Islam. --- Talmud. --- The Jews of Islam. --- Third Heaven. --- Tosefta. --- Trade route. --- Umma. --- Yazidis. --- Yemenite Jews. --- Zerubbabel. --- Zionism.
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