Core Logic

Author: Neil Tennant

Publisher: Oxford University Press


Category: Philosophy

Page: 360

View: 572

Neil Tennant presents an original logical system with unusual philosophical, proof-theoretic, metalogical, computational, and revision-theoretic virtues. Core Logic, which lies deep inside Classical Logic, best formalizes rigorous mathematical reasoning. It captures constructive relevant reasoning. And the classical extension of Core Logic handles non-constructive reasoning. These core systems fix all the mistakes that make standard systems harbor counterintuitive irrelevancies. Conclusions reached by means of core proof are relevant to the premises used. These are the first systems that ensure both relevance and adequacy for the formalization of all mathematical and scientific reasoning. They are also the first systems to ensure that one can make deductive progress with potential logical strengthening by chaining proofs together: one will prove, if not the conclusion sought, then (even better!) the inconsistency of one's accumulated premises. So Core Logic provides transitivity of deduction with potential epistemic gain. Because of its clarity about the true internal structure of proofs, Core Logic affords advantages also for the automation of deduction and our appreciation of the paradoxes.

Pluralisms in Truth and Logic

Author: Jeremy Wyatt

Publisher: Springer


Category: Philosophy

Page: 479

View: 926

This edited volume brings together 18 state-of-the art essays on pluralism about truth and logic. Parts I and II are dedicated to respectively truth pluralism and logical pluralism, and Part III to their interconnections. Some contributors challenge pluralism, arguing that the nature of truth or logic is uniform. The majority of contributors, however, defend pluralism, articulate novel versions of the view, or contribute to fundamental debates internal to the pluralist camp. The volume will be of interest to truth theorists and philosophers of logic, as well as philosophers interested in relativism, contextualism, metaphysics, philosophy of language, semantics, paradox, epistemology, or normativity.

Varieties of Logic

Author: Stewart Shapiro

Publisher: OUP Oxford


Category: Philosophy

Page: 240

View: 524

Logical pluralism is the view that different logics are equally appropriate, or equally correct. Logical relativism is a pluralism according to which validity and logical consequence are relative to something. In Varieties of Logic, Stewart Shapiro develops several ways in which one can be a pluralist or relativist about logic. One of these is an extended argument that words and phrases like 'valid' and 'logical consequence' are polysemous or, perhaps better, are cluster concepts. The notions can be sharpened in various ways. This explains away the 'debates' in the literature between inferentialists and advocates of a truth-conditional, model-theoretic approach, and between those who advocate higher-order logic and those who insist that logic is first-order. A significant kind of pluralism flows from an orientation toward mathematics that emerged toward the end of the nineteenth century, and continues to dominate the field today. The theme is that consistency is the only legitimate criterion for a theory. Logical pluralism arises when one considers a number of interesting and important mathematical theories that invoke a non-classical logic, and are rendered inconsistent, and trivial, if classical logic is imposed. So validity is relative to a theory or structure. The perspective raises a host of important questions about meaning. The most significant of these concern the semantic content of logical terminology, words like 'or', 'not', and 'for all', as they occur in rigorous mathematical deduction. Does the intuitionistic 'not', for example, have the same meaning as its classical counterpart? Shapiro examines the major arguments on the issue, on both sides, and finds them all wanting. He then articulates and defends a thesis that the question of meaning-shift is itself context-sensitive and, indeed, interest-relative. He relates the issue to some prominent considerations concerning open texture, vagueness, and verbal disputes. Logic is ubiquitous. Whenever there is deductive reasoning, there is logic. So there are questions about logical pluralism that are analogous to standard questions about global relativism. The most pressing of these concerns foundational studies, wherein one compares theories, sometimes with different logics, and where one figures out what follows from what in a given logic. Shapiro shows that the issues are not problematic, and that is usually easy to keep track of the logic being used and the one mentioned.

Exploring IBM EServer XSeries

The Instant Insider's Guide to IBM's Intel-Based Servers and Workstations

Author: Jim Hoskins

Publisher: Maximum Press


Category: Computers

Page: 184

View: 703

Surveying the various brands of Intel-based IBM computers, this updated handbook explains how to integrate these diverse systems into business applications, discussing the latest software options, peripherals, technologies, and networking issues, and furnishes guidelines on selecting operating systems to fit different business requirements. Original. (Intermediate)

State-Level Information on Negative Home Equity and Loan Performance in the Nonprime Mortgage Market

Author: William B. Shear

Publisher: DIANE Publishing



Page: 38

View: 618

The decline of home prices in many parts of the country has left millions of homeowners with negative home equity, meaning that their outstanding mortgage balances exceed the current value of their homes. A substantial proportion of borrowers with active nonprime mortgages had negative equity in their homes as of June 30, 2009. For ex., among the 16 metro areas examined, the percentage of nonprime borrowers with negative equity ranged from about 9% (Denver, CO) to more than 90% (Las Vegas, NV). This report examines, at the state level, the estimated proportion of nonprime borrowers with active loans that were in a negative equity position and the proportion that were seriously delinquent on their loan payments from 2006 through the end of 2009. Illus.

Information Modelling and Knowledge Bases XVII

Author: Yasushi Kiyoki

Publisher: IOS Press


Category: Computers

Page: 341

View: 744

Provide research communities in information modelling and knowledge bases with scientific results and experiences achieved by using innovative methodologies in computer science and other disciplines related to linguistics, philosophy, and psychology.

The Core Test Wrapper Handbook

Rationale and Application of IEEE Std. 1500TM

Author: Francisco da Silva

Publisher: Springer Science & Business Media


Category: Technology & Engineering

Page: 276

View: 903

The Core Test Wrapper Handbook: Rationale and Application of IEEE Std. 1500tm provides insight into the rules and recommendations of IEEE Std. 1500. This book focuses on practical design considerations inherent to the application of IEEE Std. 1500 by discussing design choices and other decisions relevant to this IEEE standard. The authors provide background information about some of the choices and decisions made throughout the design of IEEE Std. 1500.

ULSI Process Integration 5

Author: Cor L. Claeys

Publisher: The Electrochemical Society


Category: Integrated circuits

Page: 495

View: 133

The symposium provided a forum for reviewing and discussing all aspects of process integration, with special focus on nanoscaled technologies, 65 nm and beyond on DRAM, SRAM, flash memory, high density logic-low power, RF, mixed analog-digital, process integration yield, CMP chemistries, low-k processes, gate stacks, metal gates, rapid thermal processing, silicides, copper interconnects, carbon nanotubes, novel materials, high mobility substrates (SOI, sSi, SiGe, GeOI), strain engineering, and hybrid integration.

The Early Computer Industry

Limitations of Scale and Scope

Author: A. Gandy

Publisher: Springer


Category: Business & Economics

Page: 348

View: 940

Uses case studies to explore why large scale electronics failed to win a leadership position in the early computer industry and why IBM, a firm with a heritage in the business machines industry, succeeded. The cases cover both the US and the UK industry focusing on electronics giants GE, RCA, English Electric, EMI and Ferranti.