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Author: Roy Sorensen Publisher: Clarendon Press ISBN: 0191588067 Category : Philosophy Languages : en Pages : 214
Book Description
Did Buddha become a fat man in one second? Is there a tallest short giraffe? Epistemicists answer 'Yes!' They believe that any predicate that divides things divides them sharply. They solve the ancient sorites paradox by picturing vagueness as a kind of ignorance. The alternative solutions are radical. They either reject classical theorems or inference rules or reject our common sense view of what can exist. Epistemicists spare this central portion of our web of belief by challenging peripheral intuitions about the nature of language. So why is this continuation of the status quo so incredible? Why do epistemicists themselves have trouble believing their theory? In Vagueness and Contradiction Roy Sorensen traces our incredulity to linguistic norms that build upon our psychological tendencies to round off insignificant differences. These simplifying principles lead to massive inconsistency, rather like the rounding off errors of calculators with limited memory. English entitles speakers to believe each 'tolerance conditional' such as those of the form 'If n is small, then n + 1 is small.' The conjunction of these a priori beliefs entails absurd conditionals such as 'If 1 is small, then a billion is small.' Since the negation of this absurdity is an a priori truth, our a priori beliefs about small numbers are jointly inconsistent. One of the tolerance conditionals, at the threshold of smallness, must be an analytic falsehood that we are compelled to regard as a tautology. Since there are infinitely many analytic sorites arguments, Sorensen concludes that we are obliged to believe infinitely many contradictions. These contradictions are not specifically detectable. They are ineliminable, like the heat from a light bulb. Although the light bulb is not designed to produce heat, the heat is inevitably produced as a side-effect of illumination. Vagueness can be avoided by representational systems that make no concession to limits of perception, or memory, or testimony. But quick and rugged representational systems, such as natural languages, will trade 'rationality' for speed and flexibility. Roy Sorensen defends epistemicism in his own distinctive style, inventive and amusing. But he has some serious things to say about language and logic, about the way the world is and about our understanding of it.
Author: Roy Sorensen Publisher: Clarendon Press ISBN: 0191588067 Category : Philosophy Languages : en Pages : 214
Book Description
Did Buddha become a fat man in one second? Is there a tallest short giraffe? Epistemicists answer 'Yes!' They believe that any predicate that divides things divides them sharply. They solve the ancient sorites paradox by picturing vagueness as a kind of ignorance. The alternative solutions are radical. They either reject classical theorems or inference rules or reject our common sense view of what can exist. Epistemicists spare this central portion of our web of belief by challenging peripheral intuitions about the nature of language. So why is this continuation of the status quo so incredible? Why do epistemicists themselves have trouble believing their theory? In Vagueness and Contradiction Roy Sorensen traces our incredulity to linguistic norms that build upon our psychological tendencies to round off insignificant differences. These simplifying principles lead to massive inconsistency, rather like the rounding off errors of calculators with limited memory. English entitles speakers to believe each 'tolerance conditional' such as those of the form 'If n is small, then n + 1 is small.' The conjunction of these a priori beliefs entails absurd conditionals such as 'If 1 is small, then a billion is small.' Since the negation of this absurdity is an a priori truth, our a priori beliefs about small numbers are jointly inconsistent. One of the tolerance conditionals, at the threshold of smallness, must be an analytic falsehood that we are compelled to regard as a tautology. Since there are infinitely many analytic sorites arguments, Sorensen concludes that we are obliged to believe infinitely many contradictions. These contradictions are not specifically detectable. They are ineliminable, like the heat from a light bulb. Although the light bulb is not designed to produce heat, the heat is inevitably produced as a side-effect of illumination. Vagueness can be avoided by representational systems that make no concession to limits of perception, or memory, or testimony. But quick and rugged representational systems, such as natural languages, will trade 'rationality' for speed and flexibility. Roy Sorensen defends epistemicism in his own distinctive style, inventive and amusing. But he has some serious things to say about language and logic, about the way the world is and about our understanding of it.
Author: Roy A. Sorensen Publisher: ISBN: 9781383037487 Category : Contradiction Languages : en Pages : 0
Book Description
Written in Sorensen's unique style, inventive and amusing, Vagueness and Contradiction has some serious things to say about language and logic, about the way the world is and about our understanding of it.
Author: Roy A. Sorensen Publisher: Oxford University Press on Demand ISBN: 9780198249818 Category : Language Arts & Disciplines Languages : en Pages : 456
Book Description
In 1942 G.E. Moore first wrote about the curious sort of "nonsense" exhibited by the statement "it is raining but I do not believe it". What Moore discovered was a species of blindspots: consistent propositions that cannot be rationally accepted by certain individuals even though they mightbe true. In this book, Professor Sorenson aims to provide a unified solution to a large family of philosophical puzzles and paradoxes through a study of blindspots. He devotes special attention to revealing their role in "slippery slope" reasoning.
Author: Kit Fine Publisher: Oxford University Press, USA ISBN: 0197514952 Category : Philosophy Languages : en Pages : 121
Book Description
"The book is about the problem of vagueness. It begins by discussing some of the existing views on vagueness and then explains why they have not been thought to be satisfactory. It then outlines a new account of vagueness, based upon the general idea that vagueness is a global rather than a local phenomenon.. In other words, the vagueness of an expression or object is not an intrinsic feature of the object or an expression but a matter of how it relates to other objects and expression. The development of this idea leads to a new semantics and logic for vagueness. The semantics and logic are then applied to a number of issues, including the sorites paradox, the transparency of mental states, and personal identity. It is shown that the view allows one to hew to a much more intuitive position on these various issues"--
Author: Richard Dietz Publisher: Oxford University Press ISBN: 0199570388 Category : Philosophy Languages : en Pages : 599
Book Description
Vagueness is a deeply puzzling aspect of the relation between language and the world. Is it a feature of the way we represent reality in language, or a feature of reality itself? How can we reason with vague concepts? Cuts and Clouds presents the latest work towards an understanding of these puzzles about the nature and logic of vagueness.
Author: William Byers Publisher: Princeton University Press ISBN: 0691145997 Category : Mathematics Languages : en Pages : 424
Book Description
To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.
Author: Geert Keil Publisher: Oxford University Press ISBN: 0198722370 Category : Medical Languages : en Pages : 277
Book Description
Blurred boundaries between the normal and the pathological are a recurrent theme in almost every publication concerned with the classification of mental disorders. Yet, systematic approaches that take into account discussions about vagueness are rare. This volume is the first in the psychiatry/philosophy literature to tackle this problem.
Author: Rick Nouwen Publisher: Springer ISBN: 3642184464 Category : Mathematics Languages : en Pages : 213
Book Description
This book constitutes the proceedings of the International Workshop on Vagueness in Communication, VIC 2009, held as part of ESSLLI 2009, in Bordeaux, France, July 20-24, 2009. The 11 contributions presented shed a light on new aspects in the area of vagueness in natural language communication. In contrast to the classical instruments of dealing with vagueness - like multi-valued logics, truth value gaps or gluts, or supervaluations - this volume presents new approaches like context-sensitivity of vagueness, the sharpening of vague predicates in context, and the modeling of precision levels.
Author: Torkil Lauesen Publisher: ISBN: 9781989701034 Category : Languages : en Pages : 174
Book Description
In The Principal Contradiction, Torkil Lauesen introduces readers to the philosophy of dialectical materialism as a tool for changing the world. Dialectical materialism allows us to understand the dynamics of world history and to draw practical conclusions, with the concept of contradiction building a bridge between theory and practice. This is not just a valuable tool with which to analyze complex relationships: it also tells us how to intervene.Lauesen explores the historical origins of dialectical materialism, focusing at first on the European context in which Hegel was famously turned on his head, then introducing the subsequent contributions made by Marx, Engels, Lenin, and Mao. Drawing on his own decades of experience as an anti-imperialist, Lauesen shows how dialectical materialism can be employed as a method to understand the past five hundred years of capitalist history, how contradictions internal to European capitalism led to colonialism and genocide in Asia, Africa, and the Americas, as all humanity was brought into a single exploitative world system. The historical record is used to show how contradictions interact with one another and how a correct understanding of the principal contradiction is critical to formulating a correct strategy.
Author: Roy Sorensen
Author: Roy Sorensen
Author: Roy A. Sorensen
Author: Roy A. Sorensen
Author: Kit Fine
Author: Richard Dietz
Author: William Byers
Author: Vann McGee
Author: Geert Keil
Author: Rick Nouwen
Author: Torkil Lauesen