Search results for: the-search-for-certainty

The Search for Certainty A Philosophical Account of Foundations of Mathematics

Author : Marcus Giaquinto
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The nineteenth century saw a movement to make higher mathematics rigorous. This seemed to be on the brink of success when it was thrown into confusion by the discovery of the class paradoxes. That initiated a period of intense research into the foundations of mathematics, and with it the birth of mathematical logic and a new, sharper debate in the philosophy of mathematics. The Search for Certainty examines this foundational endeavour from the discovery of the paradoxes to the present. Focusing on Russell's logicist programme and Hilbert's finitist programme, Giaquinto investigates how successful they were and how successful they could be. These questions are set in the context of a clear, non-technical exposition and assessment of the most important discoveries in mathematical logic, above all G--ouml--;del's underivability theorems. More than six decades after those discoveries, Giaquinto asks what our present perspective should be on the question of certainty in mathematics. Taking recent developments into account, he gives reasons for a surprisingly positive response.

The Search for Certainty

Author : W.W. Spradlin
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Who are we? What are we? How do we fit into the world? Or into the universe? These and other questions pertaining to ourselves and our environ ment are as compelling to us today as they were to our primitive ancestors. Throughout our history we have developed paradigms of thought that have attempted to answer these questions, each conceptual framework being par ticularly relevant to its age. We are, in the twentieth century, witnessing a complete reorganization of our thinking. We are now, with the aid of tech nology, able to bring together both ancient and new patterns of thought and to observe the emergence of a kaleidoscopic world view that is uniting the once dissonant theories of philosophy, religion, and science. This book sketches an historical picture of three world views that have shaped our ideas about ourselves. These conceptual formats that have so influenced us are not mutually exclusive and are present in all of us simulta neously, although to varying degrees depending upon our individual biases.

The Search for Certainty

Author : Frank J. Swetz
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Self-contained and authoritative, this history of mathematics is suited to those with no math background. Its absorbing, entertaining essays focus on the era from 1800 to 2000. Contributors include Henri Poincaré, Judith V. Grabiner, and H. S. M. Coxeter, who discuss topics ranging from logic and infinity to Fermat's Last Theorem.

The Search for Certainty

Author : Krzysztof Burdzy
File Size : 80.70 MB
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This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the OC frequency statisticsOCO has nothing in common with the OC frequency philosophy of probability, OCO contrary to popular belief. Similarly, contrary to the general perception, the OC Bayesian statisticsOCO shares nothing in common with the OC subjective philosophy of probability.OCO The book is non-partisan on the scientific side OCo it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. The book includes substantial chapters on decision theory and teaching probability, and it is easily accessible to the general audience

The Search for Certainty

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Search for Certainty

Author : Mark Finley
File Size : 65.18 MB
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The Search for Certainty

Author : W. W. Spradlin
File Size : 22.4 MB
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The Search for Certainty in an Uncertain World

Author : Federal Reserve Bank
File Size : 78.15 MB
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The Search for Certainty

Author : It is Written (Television program)
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The Search for Certainty

Author : Krzysztof Burdzy
File Size : 69.27 MB
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This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the ?frequency statistics? has nothing in common with the ?frequency philosophy of probability,? contrary to popular belief. Similarly, contrary to the general perception, the ?Bayesian statistics? shares nothing in common with the ?subjective philosophy of probability.? This volume is non-partisan on the scientific side ? that it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. This volume includes essential chapters on decision theory and teaching probability, and it is easily accessible to the general audience.