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Reasoning, Necessity, and Logic

Reasoning, Necessity, and Logic PDF Author: Willis F. Overton
Publisher: Psychology Press
ISBN: 1134735219
Category : Psychology
Languages : en
Pages : 356

Book Description
A presentation of current work that systematically explores and articulates the nature, origin and development of reasoning, this volume's primary aim is to describe and examine contemporary theory and research findings on the topic of deductive reasoning. Many contributors believe concepts such as "structure," "competence," and "mental logic" are necessary features for a complete understanding of reasoning. As the book emanates from a Jean Piaget Symposium, his theory of intellectual development as the standard contemporary treatment of deductive reasoning is used as the context in which the contributors elaborate on their own perceptions.

Reasoning, Necessity, and Logic

Reasoning, Necessity, and Logic PDF Author: Willis F. Overton
Publisher: Psychology Press
ISBN: 1134735219
Category : Psychology
Languages : en
Pages : 356

Book Description
A presentation of current work that systematically explores and articulates the nature, origin and development of reasoning, this volume's primary aim is to describe and examine contemporary theory and research findings on the topic of deductive reasoning. Many contributors believe concepts such as "structure," "competence," and "mental logic" are necessary features for a complete understanding of reasoning. As the book emanates from a Jean Piaget Symposium, his theory of intellectual development as the standard contemporary treatment of deductive reasoning is used as the context in which the contributors elaborate on their own perceptions.

Reasoning, Necessity, and Logic

Reasoning, Necessity, and Logic PDF Author: Willis F. Overton
Publisher: Psychology Press
ISBN: 1134735146
Category : Psychology
Languages : en
Pages : 340

Book Description
A presentation of current work that systematically explores and articulates the nature, origin and development of reasoning, this volume's primary aim is to describe and examine contemporary theory and research findings on the topic of deductive reasoning. Many contributors believe concepts such as "structure," "competence," and "mental logic" are necessary features for a complete understanding of reasoning. As the book emanates from a Jean Piaget Symposium, his theory of intellectual development as the standard contemporary treatment of deductive reasoning is used as the context in which the contributors elaborate on their own perceptions.

The Nature of Necessity

The Nature of Necessity PDF Author: Alvin Plantinga
Publisher: Clarendon Press
ISBN: 0191037176
Category : Philosophy
Languages : en
Pages : 266

Book Description
This is a reissue of a book which is an exploration and defence of the notion of modality 'de re', the idea that objects have both essential and accidental properties. It is one of the first full-length studies of the modalities to emerge from the debate to which Saul Kripke, David Lewis, Ruth Marcus and others have contributed. The argument is developed by means of the notion of possible worlds, and ranges over key problems including the nature of essence, trans-world identity, negative existential propositions, and the existence of unactual objects in other possible worlds. In the final chapters Professor Plantinga applies his logical theories to the clarification of two problems in the philosophy of religion - the Problem of Evil and the Ontological Argument.

Logical Modalities from Aristotle to Carnap

Logical Modalities from Aristotle to Carnap PDF Author: Max Cresswell
Publisher: Cambridge University Press
ISBN: 1316760456
Category : Mathematics
Languages : en
Pages : 365

Book Description
Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.

Rationality and Logic

Rationality and Logic PDF Author: Robert Hanna
Publisher: MIT Press
ISBN: 0262263114
Category : Philosophy
Languages : en
Pages : 341

Book Description
An argument that logic is intrinsically psychological and human psychology is intrinsically logical, and that the connection between human rationality and logic is both constitutive and mutual. In Rationality and Logic, Robert Hanna argues that logic is intrinsically psychological and that human psychology is intrinsically logical. He claims that logic is cognitively constructed by rational animals (including humans) and that rational animals are essentially logical animals. In order to do so, he defends the broadly Kantian thesis that all (and only) rational animals possess an innate cognitive "logic faculty." Hanna's claims challenge the conventional philosophical wisdom that sees logic as a fully formal or "topic-neutral" science irreconcilably separate from the species- or individual-specific focus of empirical psychology.Logic and psychology went their separate ways after attacks by Frege and Husserl on logical psychologism—the explanatory reduction of logic to empirical psychology. Hanna argues, however, that—despite the fact that logical psychologism is false—there is an essential link between logic and psychology. Rational human animals constitute the basic class of cognizers or thinkers studied by cognitive psychology; given the connection between rationality and logic that Hanna claims, it follows that the nature of logic is significantly revealed to us by cognitive psychology. Hanna's proposed "logical cognitivism" has two important consequences: the recognition by logically oriented philosophers that psychologists are their colleagues in the metadiscipline of cognitive science; and radical changes in cognitive science itself. Cognitive science, Hanna argues, is not at bottom a natural science; it is both an objective or truth-oriented science and a normative human science, as is logic itself.

Philosophical Logic and Artificial Intelligence

Philosophical Logic and Artificial Intelligence PDF Author: Richmond H. Thomason
Publisher: Springer Science & Business Media
ISBN: 9400924488
Category : Philosophy
Languages : en
Pages : 230

Book Description
cians concerned with using logical tools in philosophy have been keenly aware of the limitations that arise from the original con centration of symbolic logic on the idiom of mathematics, and many of them have worked to create extensions of the received logical theories that would make them more generally applicable in philosophy. Carnap's Testability and Meaning, published in 1936 and 1937, was a good early example of this sort of research, motivated by the inadequacy of first-order formalizations of dis 'This sugar cube is soluble in water'. positional sentences like And in fact there is a continuous history of work on this topic, extending from Carnap's paper to Shoham's contribution to the present volume . . Much of the work in philosophical logic, and much of what has appeared in The Journal of Philosophical Logic, was mo tivated by similar considerations: work in modal logic (includ ing tense, deontic, and epistemic logic), intensional logics, non declaratives, presuppositions, and many other topics. In this sort of research, sin.ce the main point is to devise new formalisms, the technical development tends to be rather shallow in comparison with mathematical logic, though it is sel dom absent: theorems need to be proved in order to justify the formalisms, and sometimes these are nontrivial. On the other hand, much effort has to go into motivating a logical innovation.

The Development of Modal Reasoning

The Development of Modal Reasoning PDF Author: Gilberte Piéraut-Le Bonniec
Publisher:
ISBN:
Category : Modality (Logic)
Languages : en
Pages : 202

Book Description


Reasoning About Knowledge

Reasoning About Knowledge PDF Author: Ronald Fagin
Publisher: MIT Press
ISBN: 9780262562003
Category : Business & Economics
Languages : en
Pages : 576

Book Description
Reasoning about knowledge—particularly the knowledge of agents who reason about the world and each other's knowledge—was once the exclusive province of philosophers and puzzle solvers. More recently, this type of reasoning has been shown to play a key role in a surprising number of contexts, from understanding conversations to the analysis of distributed computer algorithms. Reasoning About Knowledge is the first book to provide a general discussion of approaches to reasoning about knowledge and its applications to distributed systems, artificial intelligence, and game theory. It brings eight years of work by the authors into a cohesive framework for understanding and analyzing reasoning about knowledge that is intuitive, mathematically well founded, useful in practice, and widely applicable. The book is almost completely self-contained and should be accessible to readers in a variety of disciplines, including computer science, artificial intelligence, linguistics, philosophy, cognitive science, and game theory. Each chapter includes exercises and bibliographic notes.

Remarks on mathematical or demonstrative reasoning:its connexion with logic [&c.].

Remarks on mathematical or demonstrative reasoning:its connexion with logic [&c.]. PDF Author: Edward Tagart
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 156

Book Description


Mathematics and Its Applications

Mathematics and Its Applications PDF Author: Jairo José da Silva
Publisher: Springer
ISBN: 3319630733
Category : Philosophy
Languages : en
Pages : 275

Book Description
This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is. The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl’s phenomenological philosophy. One line leads to the establishment of a particular version of mathematical structuralism, free of “naturalist” and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspective. This second line points to the “unreasonable” effectiveness of mathematics in physics as a means of representation, a tool, and a source of not always logically justified but useful and effective heuristic strategies.