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Author: Nicholas Jones Publisher: Oxford University Press ISBN: 019264789X Category : Philosophy Languages : en Pages : 556
Book Description
This volume explores the use of higher-order logics in metaphysics. Higher-order logics are natural extensions of the common systems of predicate logic, with a history going back to the very beginnings of formal logic. Such logics are well suited to formalize metaphysical views and arguments. Over the last decade, there has been a resurgence of interest in higher-order metaphysics. Seventeen original essays are grouped under five headings. Three introductory chapters present higher-order languages and motivate their use in metaphysics. Three chapters on pure higher-order metaphysics discuss different options of higher-order languages and logics which may be used in metaphysics. Three chapters on applied higher-order metaphysics consider the application of higher-order logic to various central topics of metaphysics. Three historical chapters trace the development of higher-order logic as it relates to metaphysics over the last 150 years. The volume concludes with a discussion, containing two chapters criticizing the use of higher-order logic in metaphysics, as well as responses to these criticisms by two authors.
Author: Nicholas Jones Publisher: Oxford University Press ISBN: 019264789X Category : Philosophy Languages : en Pages : 556
Book Description
This volume explores the use of higher-order logics in metaphysics. Higher-order logics are natural extensions of the common systems of predicate logic, with a history going back to the very beginnings of formal logic. Such logics are well suited to formalize metaphysical views and arguments. Over the last decade, there has been a resurgence of interest in higher-order metaphysics. Seventeen original essays are grouped under five headings. Three introductory chapters present higher-order languages and motivate their use in metaphysics. Three chapters on pure higher-order metaphysics discuss different options of higher-order languages and logics which may be used in metaphysics. Three chapters on applied higher-order metaphysics consider the application of higher-order logic to various central topics of metaphysics. Three historical chapters trace the development of higher-order logic as it relates to metaphysics over the last 150 years. The volume concludes with a discussion, containing two chapters criticizing the use of higher-order logic in metaphysics, as well as responses to these criticisms by two authors.
Author: Timothy Williamson Publisher: Oxford University Press ISBN: 019955207X Category : Philosophy Languages : en Pages : 481
Book Description
Timothy Williamson gives an original and provocative treatment of deep metaphysical questions about existence, contingency, and change, using the latest resources of quantified modal logic. Contrary to the widespread assumption that logic and metaphysics are disjoint, he argues that modal logic provides a structural core for metaphysics.
Author: Roger Trigg Publisher: Templeton Foundation Press ISBN: 1599474964 Category : Philosophy Languages : en Pages : 177
Book Description
Does science have all the answers? Can it even deal with abstract reasoning beyond the world we experience? How can we ensure that the physical world is sufficiently ordered to be intelligible to humans? How can mathematics, a product of human minds, unlock the secrets of the physical universe? Should all such questions be considered inadmissible if science cannot settle them? Metaphysics has traditionally been understood as reasoning beyond the reach of science, sometimes even claiming realities beyond its grasp. Because of this, metaphysics is often contemptuously dismissed by scientists and philosophers who wish to remain within the bounds of what can be scientifically proven. Yet scientists at the frontiers of physics unwittingly engage in metaphysics, as they are now happy to contemplate whole universes that are, in principle, beyond human reach. Roger Trigg challenges those who deny that science needs philosophical assumptions. Trigg claims that the foundations of science themselves have to lie beyond science. It takes reasoning apart from experience to discover what is not yet known and this metaphysical reasoning to imagine realities beyond what can be accessed. “In Beyond Matter, Roger Trigg advances a powerful, persuasive, fair-minded argument that the sciences require a philosophical, metaphysical foundation. This is a brilliant book for newcomers to the philosophy of science and experts alike.” —Charles Taliaferro, professor of philosophy, St. Olaf College
Author: Stephen Mumford Publisher: OUP Oxford ISBN: 0191640263 Category : Philosophy Languages : en Pages : 128
Book Description
Metaphysics is one of the traditional four main branches of philosophy, alongside ethics, logic and epistemology. It is also an area that continues to attract and hold a fascination for many people yet it is associated with being complex and abstract. For some it is associated with the mystical or religious. For others it is known through the metaphysical poets who talk of love and spirituality. This Very Short Introduction goes right to the heart of the matter, getting to the basic and most important questions of metaphysical thought in order to understand the theory: What are objects? Do colours and shapes have some form of existence? What is it for one thing to cause another rather than just being associated with it? What is possible? Does time pass? By using these questions to initiate thought about the basic issues around substance, properties, changes, causes, possibilities, time, personal identity, nothingness and emergentism, Stephen Mumford provides a clear and simple path through this analytical tradition at the core of philosophical thought. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Author: Agustín Rayo Publisher: Oxford University Press on Demand ISBN: 9780199276424 Category : Philosophy Languages : en Pages : 408
Book Description
Is it possible to quantify over absolutely all there is? Or must all of our quantifiers range over a less-than-all-inclusive domain? It has commonly been thought that the question of absolute generality is intimately connected with the set-theoretic antinomies. But the topic of absolute generality has enjoyed a surge of interest in recent years. It has become increasingly apparent that its ramifications extend well beyond the foundations of set theory. Connections include semanticindeterminacy, logical consequence, higher-order languages, and metaphysics.Rayo and Uzquiano present for the first time a collection of essays on absolute generality. These newly commissioned articles -- written by an impressive array of international scholars -- draw the reader into the forefront of contemporary research on the subject. The volume represents a variety of approaches to the problem, with some of the contributions arguing for the possibility of all-inclusive quantification and some of them arguing against it. An introduction by the editors draws ahelpful map of the philosophical terrain.
Author: Robert Trueman Publisher: Cambridge University Press ISBN: 1108890164 Category : Philosophy Languages : en Pages : 241
Book Description
This book articulates and defends Fregean realism, a theory of properties based on Frege's insight that properties are not objects, but rather the satisfaction conditions of predicates. Robert Trueman argues that this approach is the key not only to dissolving a host of longstanding metaphysical puzzles, such as Bradley's Regress and the Problem of Universals, but also to understanding the relationship between states of affairs, propositions, and the truth conditions of sentences. Fregean realism, Trueman suggests, ultimately leads to a version of the identity theory of truth, the theory that true propositions are identical to obtaining states of affairs. In other words, the identity theory collapses the gap between mind and world. This book will be of interest to anyone working in logic, metaphysics, the philosophy of language or the philosophy of mind.
Author: Hud Hudson Publisher: Oxford University Press on Demand ISBN: 0199282579 Category : Philosophy Languages : en Pages : 236
Book Description
Hud Hudson offers a fascinating examination of philosophical reasons to believe in hyperspace. He begins with some stage-setting discussions, offering his analysis of the term 'material object', noting his adherence to substantivalism, confessing his sympathies regarding principles of composition and decomposition, identifying his views on material simples, material gunk, and the persistence of material objects, and preparing the reader for later discussions with introductoryremarks on eternalism, modality and recombination, vagueness, bruteness, and the epistemic role of intuitions. The subsequent chapters are loosely organized around the theme of hyperspace. Hudson explores nontheistic reasons to believe in hyperspace in chapter 1 (e.g. reasons arising from reflection onincongruent counterparts and fine-tuning arguments), theistic reasons in chapter 7 (e.g. reasons arising from reflection on theistic puzzles known as the problem of the best and the problem of evil), and some distinctively Christian reasons in chapter 8 (e.g. reasons arising from reflection on traditional Christian themes such as heaven and hell, the Garden of Eden, angels and demons, and new testament miracles). In the intervening chapters, Hudson inquires into a variety of puzzles in themetaphysics of material objects that are either generated by the hypothesis of hyperspace, focusing on the topics of mirror determinism and mirror incompatibilism, or else informed by the hypothesis of hyperspace, with discussions of receptacles, boundaries, contact, occupation, and superluminal motion.Anyone engaged with contemporary metaphysics will find much to stimulate them here.
Author: Jessica M. Wilson Publisher: Oxford University Press ISBN: 0192556975 Category : Philosophy Languages : en Pages : 337
Book Description
Both the special sciences and ordinary experience suggest that there are metaphysically emergent entities and features: macroscopic goings-on (including mountains, trees, humans, and sculptures, and their characteristic properties) which depend on, yet are distinct from and distinctively efficacious with respect to, lower-level physical configurations and features. These appearances give rise to two key questions. First, what is metaphysical emergence, more precisely? Second, is there any metaphysical emergence, in principle and moreover in fact? Metaphysical Emergence provides clear and systematic answers to these questions. Wilson argues that there are two, and only two, forms of metaphysical emergence of the sort seemingly at issue in the target cases: 'Weak' emergence, whereby a dependent feature has a proper subset of the powers of the feature upon which it depends, and 'Strong' emergence, whereby a dependent feature has a power not had by the feature upon which it depends. Weak emergence unifies and illuminates seemingly diverse accounts of non-reductive physicalism; Strong emergence does the same as regards seemingly diverse anti-physicalist views positing fundamental novelty at higher levels of compositional complexity. After defending the in-principle viability of each form of emergence, Wilson considers whether complex systems, ordinary objects, consciousness, and free will are actually metaphysically emergent. She argues that Weak emergence is quite common, and that there is Strong emergence in the important case of free will.
Author: John L. Bell Publisher: Cambridge University Press ISBN: 1108991955 Category : Philosophy Languages : en Pages : 88
Book Description
This Element is an exposition of second- and higher-order logic and type theory. It begins with a presentation of the syntax and semantics of classical second-order logic, pointing up the contrasts with first-order logic. This leads to a discussion of higher-order logic based on the concept of a type. The second Section contains an account of the origins and nature of type theory, and its relationship to set theory. Section 3 introduces Local Set Theory (also known as higher-order intuitionistic logic), an important form of type theory based on intuitionistic logic. In Section 4 number of contemporary forms of type theory are described, all of which are based on the so-called 'doctrine of propositions as types'. We conclude with an Appendix in which the semantics for Local Set Theory - based on category theory - is outlined.
Author: Nicholas Jones
Author: Nicholas Jones
Author: Robert Trueman
Author: Timothy Williamson
Author: Roger Trigg
Author: Stephen Mumford
Author: Agustín Rayo
Author: Robert Trueman
Author: Hud Hudson
Author: Jessica M. Wilson
Author: John L. Bell