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Author: Agustín Rayo Publisher: ISBN: 0199662622 Category : Mathematics Languages : en Pages : 241
Book Description
Our conception of logical space is the set of distinctions we use to navigate the world. Agustín Rayo argues that this is shaped by acceptance or rejection of 'just is'-statements: e.g. 'to be composed of water just is to be composed of H2O'. He offers a novel conception of metaphysical possibility, and a new trivialist philosophy of mathematics.
Author: Agustín Rayo Publisher: ISBN: 0199662622 Category : Mathematics Languages : en Pages : 241
Book Description
Our conception of logical space is the set of distinctions we use to navigate the world. Agustín Rayo argues that this is shaped by acceptance or rejection of 'just is'-statements: e.g. 'to be composed of water just is to be composed of H2O'. He offers a novel conception of metaphysical possibility, and a new trivialist philosophy of mathematics.
Author: Penelope Maddy Publisher: Oxford University Press, USA ISBN: 0199391750 Category : Philosophy Languages : en Pages : 147
Book Description
"Maddy's short monograph looks at Wittgenstein's philosophy of logic, from the perspective of the form of naturalism that she calls "second philosophy." That view takes an empirical approach to logical truth -- essentially arguing that if philosophers want to understand the world, they should start from a position informed by scientific understandings of the world, because science is often a reliable guide to how the world works. Similarly, just like science, logic is also grounded in the structure of our world, and our basic cognitive machinery is tuned by evolutionary pressures to detect that structure where it occurs. Ludwig Wittgenstein (particularly in the "Tractatus") also linked the logical structure of representation with the structure of the world, but still insisted that the sense of our representations must be given prior to -- independently of -- any facts about how the world happens to be. When that requirement is removed, Wittgenstein's position in the Tractatus approaches Maddy's Second Philosophy -- that logic is grounded in the structure of the world and our representational systems reflect that structuring. The later Wittgenstein also hews closely to Second Philosophy, holding that our logical practices are grounded in our interests and motivations, and our natural inclinations, and the features of the world. In this sense, logic is no different from other descriptions of the world -- just more general and responding to features so basic and ubiquitous that they tend to go unnoticed. Maddy's Second Philosophy finds Wittgenstein as an important precursor and kindred spirit, and promotes a new view of him as a naturalistic phliosopher"--
Author: Alexander Bochman Publisher: MIT Press ISBN: 0262362244 Category : Computers Languages : en Pages : 367
Book Description
A general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference. In this book, Alexander Bochman presents a general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference, basing it on a supposition that causal reasoning is not a competitor of logical reasoning but its complement for situations lacking logically sufficient data or knowledge. Bochman also explores the relationship of this theory with the popular structural equation approach to causality proposed by Judea Pearl and explores several applications ranging from artificial intelligence to legal theory, including abduction, counterfactuals, actual and proximate causality, dynamic causal models, and reasoning about action and change in artificial intelligence. As logical preparation, before introducing causal concepts, Bochman describes an alternative, situation-based semantics for classical logic that provides a better understanding of what can be captured by purely logical means. He then presents another prerequisite, outlining those parts of a general theory of nonmonotonic reasoning that are relevant to his own theory. These two components provide a logical background for the main, two-tier formalism of the causal calculus that serves as the formal basis of his theory. He presents the main causal formalism of the book as a natural generalization of classical logic that allows for causal reasoning. This provides a formal background for subsequent chapters. Finally, Bochman presents a generalization of causal reasoning to dynamic domains.
Author: Eric Funkhouser Publisher: ISBN: 0198713304 Category : Philosophy Languages : en Pages : 193
Book Description
Eric Funkhouser uncovers a logical structure that is common to many, if not all, classificatory systems or taxonomies. Every conceptual scheme--including the sciences, mathematics, and ethics--classifies things into kinds. Given their ubiquity across theoretical contexts, we would benefit from understanding the nature of such kinds. Significantly, most conceptual schemes posit kinds that vary in their degree of specificity. Species-genus taxonomiesprovide us with familiar examples, with the species classification being more specific than the genus classification. This book instead focuses on adjectival kinds--classifications picked out by kind-terms like'mass', 'shape', or 'belief', to give but a few examples. One of its fundamental claims is that studying the determination relation provides deep insight into the essences of adjectival kinds and their instances (properties). The determination relation is found to contain two components, which are employed to structure kinds at the same level of abstraction into property spaces. In turn, these property space models lead to a theory for individuating properties, which has profound consequenceswhen it comes to reduction, autonomy, and causation. Funkhouser argues that determination and realization are mutually exclusive relations. He defends the claim that multiple realizability entailsvarious senses of autonomy from various reductionist challenges. These theories of determination and realization ultimately provide general standards for establishing the autonomy of the special sciences or, conversely, their reduction.
Author: Peter Flach Publisher: Wiley ISBN: 9780471942153 Category : Computers Languages : en Pages : 256
Book Description
An introduction to Prolog programming for artificial intelligence covering both basic and advanced AI material. A unique advantage to this work is the combination of AI, Prolog and Logic. Each technique is accompanied by a program implementing it. Seeks to simplify the basic concepts of logic programming. Contains exercises and authentic examples to help facilitate the understanding of difficult concepts.
Author: I. Aranyosi Publisher: Springer ISBN: 1137280328 Category : Philosophy Languages : en Pages : 352
Book Description
The book offers a novel approach to the idea of divinity in guise of a philosophical doctrine called 'Logical Pantheism', according to which the only way to establish the existence of God undeniably is by equating God with Logical Space.
Author: Sofia Miguens Publisher: Harvard University Press ISBN: 0674242831 Category : Philosophy Languages : en Pages : 1081
Book Description
“A remarkable book capable of reshaping what one takes philosophy to be.” —Cora Diamond, Kenan Professor of Philosophy Emerita, University of Virginia Could there be a logical alien—a being whose ways of talking, inferring, and contradicting exhibit an entirely different logical shape than ours, yet who nonetheless is thinking? Could someone, contrary to the most basic rules of logic, think that two contradictory statements are both true at the same time? Such questions may seem outlandish, but they serve to highlight a fundamental philosophical question: is our logical form of thought merely one among many, or must it be the form of thought as such? From Descartes and Kant to Frege and Wittgenstein, philosophers have wrestled with variants of this question, and with a range of competing answers. A seminal 1991 paper, James Conant’s “The Search for Logically Alien Thought,” placed that question at the forefront of contemporary philosophical inquiry. The Logical Alien, edited by Sofia Miguens, gathers Conant’s original article with reflections on it by eight distinguished philosophers—Jocelyn Benoist, Matthew Boyle, Martin Gustafsson, Arata Hamawaki, Adrian Moore, Barry Stroud, Peter Sullivan, and Charles Travis. Conant follows with a wide-ranging response that places the philosophical discussion in historical context, critiques his original paper, addresses the exegetical and systematic issues raised by others, and presents an alternative account. The Logical Alien challenges contemporary conceptions of how logical and philosophical form must each relate to their content. This monumental volume offers the possibility of a new direction in philosophy.
Author: Agustín Rayo
Author: Agustín Rayo
Author: Penelope Maddy
Author: Kaustubh Dhargalkar
Author: Alexander Bochman
Author: 
Author: Nils Kürbis
Author: Eric Funkhouser
Author: Peter Flach
Author: I. Aranyosi
Author: Sofia Miguens