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Essays on Mathematical Reasoning
This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What benefits can be obtained from mistakes of great mathematicians? Which mathematical objects are standard and which are pathological? Is it possible characterize the intended models of mathematical theories in a unique way?
Euphony and Logos
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Euphony and Logos
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Glimpses into the World of Mathematics
Essays collected in this volume deal with various problems from the philosophy of mathematics. What connects them are two questions: how mathematics is created and how it is acquired. In 'Three Worlds of Mathematics' we are familiarized with David Tall's ideas pertaining to the embodied, symbolic and formal worlds of mathematics. In 'Basic Ideas of Intuitionism', we focus on an epistemological approach to mathematics which is distinctive to constructive mathematics. The author focuses on the computational content of intuitionistic logic and shows how it relates to functional programming. 'The Brave Mathematical Ant' carefully selects mathematical puzzles related to teaching experiences in a ...
Semantics and Truth
The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).
The Totalitarian Paradigm After the End of Communism
Concepts of totalitarianism have undergone an academic revival in recent years, particularly since the breakdown of communist systems in Europe in 1989-91: the totalitarian paradigm, so it seems to many scholars today, had been discarded prematurely in the heat of the Cold War. The demise of communism as a social system is, however, not only an important cause of the recurring attractiveness of the totalitarian paradigm, but provides at the same time new evidence and, correspondingly, new problems of explanation for all approaches in communist studies and totalitarianism theory in particular. This book contains articles by philosophers, social scientists and historians who reassess the valid...
