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Quanta, Logic And Spacetime (2nd Edition)
In this expanded edition of Quanta, Logic and Spacetime, the logical base is greatly broadened and quantum-computational aspects of the approach are brought to the fore. The first two parts of this edition may indeed be regarded as providing a self-contained and logic-based foundation for — and an introduction to — the enterprise known as quantum computing.The rest of the work takes on the task (as in the first edition) of computing from first principles certain dynamical expressions which turn out to compare favorably with the Lagrangian densities of the (massless) Standard Model, including gravity. The logic of this process is now subject to greater formal rigor than was possible in the first edition, and the central thesis — that quantum physics at a fundamental level may itself be realized as a species of quantum computation — is strongly underscored.
Quantum-like Networks: An Approach To Neural Behavior Through Their Mathematics And Logic
Do brains compute? If they do, what do they compute and how do they do it? The first part of the book introduces the development of a model that simulates actual biological neurons more closely than do current standard models of neural networks, as well as the deduction of its physics-like and computational properties from first principles. The second part presents a collection of applications of the model to memory formation and loss, a general syntax for memory retrieval, language itself, and certain forms of aphasia. A linear development of the discussion with proofs in situ is employed by the author, making the book essentially self-contained. A pair of helpful appendices are provided to acquaint the reader with necessary fundamentals of topics in logic and mathematics. Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic will show you an entirely new approach to an ancient subject.
Quanta, Logic And Spacetime: Variations On Finkelstein's Quantum Relativity
In this highly interesting monograph, a brief account of Finkelstein's approach to quantum theory and some of its ramifications is given. Specifically, his suggestion that some sort of quantum-set-like structure should underlie our macroscopic perception of spacetime is developed to the point where a fair slice of fundamental physics (for a massless world) may be formally derived in an elementary fashion from the ground up. In detail, a model of what Finkelstein has dubbed a “quantum net”, in conjunction with a carefully and extensively articulated correspondence principle, gives rise to the standard Lagrangians for: massless Dirac fermions, general relativity, and Yang-Mills fields for the gauge groups, U(1) x SU(2), and SU(3). These Lagrangians emerge replete with (Feynman) gauge-fixing terms and ghost fields, and a chiral breaking mechanism in the case of SU(2). The results are interpreted in the light of the Standard Model.
The Physical Signature of Computation
Anderson and Piccinini offer the most systematic, rigorous, and comprehensive account of computational implementation to date. Their robust mapping account holds that the key for establishing that a computation is physically implemented is that the physical states bear neither more nor less information than the computational states they map onto.
The Physical Signature of Computation
In The Physical Signature of Computation, Neal Anderson and Gualtiero Piccinini articulate and defend the robust mapping account--the most systematic, rigorous, and comprehensive account of computational implementation to date. Drawing in part from recent results in physical information theory, they argue that mapping accounts of implementation can be made adequate by incorporating appropriate physical constraints. According to the robust mapping account, the key constraint on mappings from physical to computational states--the key for establishing that a computation is physically implemented--is physical-computational equivalence: evolving physical states bear neither more nor less informat...
Reading Parfit
Derek Parfit was one of the world’s leading philosophers. His On What Matters was the most eagerly awaited book in philosophy for many years. Reading Parfit: On What Matters is an essential overview and assessment of volumes 1 and 2 of Parfit’s monumental work by a team of international contributors, and includes responses by Parfit himself. It discusses central features of Parfit’s book, including the structure and nature of reasons; the ideas underlying moral principles; Parfit’s discussions of consequentialism, contractualism and Kantian deontology; and his metaethical ideas and arguments. Reading Parfit will be central reading for students of ethics and anyone seeking a deeper understanding of one of the most important works of philosophy published in the last fifty years.
Thinking About Reasons
Thinking about Reasons collects fourteen new essays on ethics and the philosophy of action, inspired by the work of Jonathan Dancy—one of his generation's most influential moral philosophers. Many of the most prominent living thinkers in the area are contributors to this collection, which also contains an afterword by Dancy himself.
Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras
This second of two volumes gives a modern exposition of the theory of Banach algebras.
The Blackwell Guide to Ethical Theory
Building on the strengths of the highly successful first edition, the extensively updated Blackwell Guide to Ethical Theory presents a complete state-of-the-art survey, written by an international team of leading moral philosophers. A new edition of this successful and highly regarded Guide, now reorganized and updated with the addition of significant new material Includes 21 essays written by an international team of leading philosophers Extensive, substantive essays develop the main arguments of all the leading viewpoints in ethical theory Essays new to this edition cover evolution and ethics, capability ethics, virtues and consequences, and the implausibility of virtue ethics
