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Philosophy of Mathematics
The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.
Lectures on the Philosophy of Mathematics
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
On Sondheim
Giving each of Stephen Sondheim's musicals its own chapter, Ethan Mordden applies fresh insights and analysis to consider Sondheim's place in modern art, addressing the newcomer and the aficionado alike.
Reuven Shiloah - the Man Behind the Mossad
This is the story of Reuven Shiloah - the man who established the Mossad, and laid the foundations for the intelligence community of the State of Israel. The book is based on private archives, and interviews with people who worked closely with Shiloah both in Israel and abroad.
Abstraction and Infinity
Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems.
The Rise of Israel
This book provides a general history of the rise of Israel since the early Zionist efforts at state building. In particular it seeks to show how unlikely Israel's creation was and that it should best be understood as a series of revolutions.
For Jerusalem: A Life
“The affectionate and enthusiastic memoirs of the Israeli politician, and, since 1965, mayor of Jerusalem.“ — The New York Times Selection of the Best Books of 1978 “Mayor Teddy Kollek’s relation to Jerusalem is not merely that of an elected official to his community; not only that of a Jew the city of his fathers. The connection is intensely symbiotic. Jerusalem without Teddy is as inconceivable as Israel itself would be without Jerusalem. The high‐energy brightness with which he sparkles is the result of this symbiosis... His auburn hair works, heavy and winglike, as he hurries about the city. You see him everywhere. His record is one of construction, reconciliation, improvement. He deals justly, he is enlightened and he does good left and right. Such is the image. Such is, to an extent to be more exactly defined, also the fact. His autobiography, written with the assistance of his capable son, Amos, is called, For Jerusalem: A Life. The title tells it all; life and Jerusalem are for Teddy inseparable.“ — Saul Bellow, The New York Times
Combinatorial Game Theory
It is wonderful to see advanced combinatorial game theory made accessible. Siegel's expertise and enjoyable writing style make this book a perfect resource for anyone wanting to learn the latest developments and open problems in the field. —Erik Demaine, MIT Aaron Siegel has been the major contributor to Combinatorial Game Theory over the last decade or so. Now, in this authoritative work, he has made the latest results in the theory accessible, so that the subject will achieve the place in mathematics that it deserves. —Richard Guy, University of Calgary Combinatorial game theory is the study of two-player games with no hidden information and no chance elements. The theory assigns algeb...
On Numbers and Games
Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class that includes both real numbers and ordinal numbers: surreal numbers. The second edition presents developments in mathematical game theory, focusing on surreal numbers and the additive theory of partizan games.
Logic Colloquium '90
The proceedings of the Association for Symbolic Logic meeting held in Helsinki, Finland, in July 1990, containing eighteen papers written by leading researchers in logic. Between them they cover all fields of mathematical logic, including model theory, proof theory, recursion theory, and set theory.
