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Ad Infinitum... The Ghost in Turing's Machine

Ad Infinitum... The Ghost in Turing's Machine PDF Author: Brian Rotman
Publisher: Stanford University Press
ISBN: 9780804721271
Category : Philosophy
Languages : en
Pages : 238

Book Description
This ambitious work puts forward a new account of mathematics-as-language that challenges the coherence of the accepted idea of infinity and suggests a startlingly new conception of counting. The author questions the familiar, classical, interpretation of whole numbers held by mathematicians and scientists, and replaces it with an original and radical alternative--what the author calls non-Euclidean arithmetic. The author's entry point is an attack on the notion of the mathematical infinite in both its potential and actual forms, an attack organized around his claim that any interpretation of "endless" or "unlimited" iteration is ineradicably theological. Going further than critique of the overt metaphysics enshrined in the prevailing Platonist description of mathematics, he uncovers a covert theism, an appeal to a disembodied ghost, deep inside the mathematical community's understanding of counting.

Model-Based Reasoning in Scientific Discovery

Model-Based Reasoning in Scientific Discovery PDF Author: L. Magnani
Publisher: Springer Science & Business Media
ISBN: 1461548136
Category : Computers
Languages : en
Pages : 339

Book Description
The volume is based on the papers that were presented at the Interna tional Conference Model-Based Reasoning in Scientific Discovery (MBR'98), held at the Collegio Ghislieri, University of Pavia, Pavia, Italy, in December 1998. The papers explore how scientific thinking uses models and explanatory reasoning to produce creative changes in theories and concepts. The study of diagnostic, visual, spatial, analogical, and temporal rea soning has demonstrated that there are many ways of performing intelligent and creative reasoning that cannot be described with the help only of tradi tional notions of reasoning such as classical logic. Traditional accounts of scientific reasoning have restricted the notion of reasoning primarily to de ductive and inductive arguments. Understanding the contribution of model ing practices to discovery and conceptual change in science requires ex panding scientific reasoning to include complex forms of creative reasoning that are not always successful and can lead to incorrect solutions. The study of these heuristic ways of reasoning is situated at the crossroads of philoso phy, artificial intelligence, cognitive psychology, and logic; that is, at the heart of cognitive science. There are several key ingredients common to the various forms of model based reasoning to be considered in this book. The models are intended as in terpretations of target physical systems, processes, phenomena, or situations. The models are retrieved or constructed on the basis of potentially satisfying salient constraints of the target domain.

Predictions in Time Series Using Regression Models

Predictions in Time Series Using Regression Models PDF Author: Cory Terrell
Publisher: Scientific e-Resources
ISBN: 1839473290
Category :
Languages : en
Pages : 300

Book Description
Regression methods have been a necessary piece of time arrangement investigation for over a century. As of late, new advancements have made real walks in such territories as non-constant information where a direct model isn't fitting. This book acquaints the peruser with fresher improvements and more assorted regression models and methods for time arrangement examination. Open to any individual who knows about the fundamental present day ideas of factual deduction, Regression Models for Time Series Analysis gives a truly necessary examination of late measurable advancements. Essential among them is the imperative class of models known as summed up straight models (GLM) which gives, under a few conditions, a bound together regression hypothesis reasonable for constant, all out, and check information. The creators stretch out GLM methodology deliberately to time arrangement where the essential and covariate information are both arbitrary and stochastically reliant. They acquaint readers with different regression models created amid the most recent thirty years or somewhere in the vicinity and condense traditional and later outcomes concerning state space models.

Matlab

Matlab PDF Author: Will Chavez
Publisher: Scientific e-Resources
ISBN: 1839473215
Category :
Languages : en
Pages : 360

Book Description
Many features of this book are designed to emphasize the proper way to write reliable MATLAB programs. These features should serve a student well when he or she is first learning MATLAB, and they should also be useful to the practitioner on the job. They include 1. Emphasis on Top-Down Design Methodology- The book introduces a top-down design methodology in Chapter 3, and uses it consistently throughout the rest of the book. This methodology encourages a student to think about the proper design of a program before beginning to code. It emphasizes the importance of clearly defining the problem to be solved and the required inputs and outputs before any other work is begun. Once the problem has been properly defined, it teaches the student to employ stepwise refinement to break the task down into successively smaller sub-tasks and to implement the subtasks as separate subroutines or functions. Finally, it teaches the importance of testing at all stages of the process-both unit testing of the component routines and exhaustive testing of the final product. The formal design process taught by the book may be summarized as follows: i. Clearly state the problem that you are trying to solve. ii. Define the inputs required by the program and the outputs to be produced by the program. iii. Describe the algorithm that you intend to implement in the program. This step involves top-down design and stepwise decomposition, using pseudocode or flow charts. iv. Turn the algorithm into MATLAB statements. v. Test the MATLAB program. This step includes unit testing of specific functions as well as exhaustive testing of the final program with many different data sets. 2. Emphasis on Functions- The book emphasizes the use of functions to logically decompose tasks into smaller sub-tasks. It teaches the advantages of functions for data hiding. It also emphasizes the importance of unit testing functions before they are combined into the final program. In addition, the book teaches about the common mistakes made with functions and how to avoid them. 3. Emphasis on MATLAB Tools - The book teaches the proper use of MATLAB's built-in tools to make programming and debugging easier. The tools covered include the Editor / Debugger, the Workspace Browser, the Help Browser, and GUI design tools.

Ad Infinitum... The Ghost in Turing's Machine

Ad Infinitum... The Ghost in Turing's Machine PDF Author: Brian Rotman
Publisher: Stanford University Press
ISBN: 9780804721271
Category : Philosophy
Languages : en
Pages : 238

Book Description
This ambitious work puts forward a new account of mathematics-as-language that challenges the coherence of the accepted idea of infinity and suggests a startlingly new conception of counting. The author questions the familiar, classical, interpretation of whole numbers held by mathematicians and scientists, and replaces it with an original and radical alternative--what the author calls non-Euclidean arithmetic. The author's entry point is an attack on the notion of the mathematical infinite in both its potential and actual forms, an attack organized around his claim that any interpretation of "endless" or "unlimited" iteration is ineradicably theological. Going further than critique of the overt metaphysics enshrined in the prevailing Platonist description of mathematics, he uncovers a covert theism, an appeal to a disembodied ghost, deep inside the mathematical community's understanding of counting.

Pattern Recognition

Pattern Recognition PDF Author: Brett Anderson
Publisher: Scientific e-Resources
ISBN: 1839472391
Category :
Languages : en
Pages :

Book Description
Watching the environment and recognising patterns with the end goal of basic leadership is central to human instinct. This book manages the logical train that empowers comparable observation in machines through pattern recognition, which has application in differing innovation regions-character recognition, picture handling, modern computerization, web looks, discourse recognition, therapeutic diagnostics, target recognition, space science, remote detecting, information mining, biometric recognizable proof-to give some examples. This book is a composition of central subjects in pattern recognition utilizing an algorithmic approach. It gives a careful prologue to the ideas of pattern recognition and an efficient record of the real points in pattern recognition other than assessing the huge advance made in the field as of late. It incorporates fundamental strategies of pattern recognition, neural systems, bolster vector machines and choice trees. While hypothetical angles have been given due scope, the accentuation is more on the pragmatic. Pattern recognition has application in practically every field of human undertaking including topography, geology, space science and brain research. All the more particularly, it is helpful in bioinformatics, mental investigation, biometrics and a large group of different applications.

Multivariate Analysis

Multivariate Analysis PDF Author: Jude May
Publisher: Scientific e-Resources
ISBN: 1839473231
Category :
Languages : en
Pages : 316

Book Description
When measuring a few factors on a complex test unit, it is frequently important to break down the factors all the while, as opposed to separate them and think of them as independently. This book Multivariate investigation empowers analysts to investigate the joint execution of such factors and to decide the impact of every factor within the sight of the others. This book gives understudies of every single measurable foundation with both the major and more modern aptitudes important to ace the train. To represent multivariate applications, the creator gives cases and activities in light of fifty-nine genuine informational collections from a wide assortment of logical fields. Here takes a "e;strategies"e; way to deal with his subject, with an accentuation on how understudies and professionals can utilize multivariate investigation, all things considered, circumstances. This book sections like: Cluster analysis; Multidimensional scaling; Correspondence analysis; Biplots.

Optimization

Optimization PDF Author: Kyrie Mueller
Publisher: Scientific e-Resources
ISBN: 1839473274
Category :
Languages : en
Pages :

Book Description
Finite-dimensional optimization issues happen all through the numerical sciences. The greater part of these issues can't be explained systematically. This prologue to optimization endeavors to strike a harmony between introduction of scientific hypothesis and improvement of numerical calculations. Expanding on understudies' abilities in math and straight variable based math, the content gives a thorough piece without undue deliberation. Its weight on factual applications will be particularly speaking to graduate understudies of insights and biostatistics. The target group additionally incorporates understudies in connected arithmetic, computational science, software engineering, financial aspects, and material science who need to see thorough math joined with genuine applications. Applications are characterized by their principle useful regions in modern arranging, outline, and control. The fields secured are machine sequencing, stock control and planning, plant recharging, conveyance, money related issues, and compound process control and outline. These last two, specifically, are subjects frequently ignored in operations examine educational program. In each field the place and status of optimization methods is first portrayed and afterward an extensive variety of sensible contextual analyses and cases are looked into, a considerable lot of them universal.

Non-Linear Differential Equations

Non-Linear Differential Equations PDF Author: Frankie Murray &
Publisher: Scientific e-Resources
ISBN: 183947324X
Category :
Languages : en
Pages : 320

Book Description
Regarding the matter of differential equations a considerable number of rudimentary books have been composed. This book overcomes any issues between rudimentary courses and the examination writing. The essential ideas important to contemplate differential equations - basic focuses and balance, occasional arrangements, invariant sets and invariant manifolds - are examined. Security hypothesis is created beginning with linearisation methods backpedaling to Lyapunov and Poincare. The global direct method is then examined. To acquire more quantitative data the Poincare-Lindstedt method is acquainted with estimated occasional arrangements while in the meantime demonstrating presence by the certain capacity hypothesis. The method of averaging is presented as a general estimation standardization method. The last four sections acquaint the peruser with unwinding motions, bifurcation hypothesis, focus manifolds, disarray in mappings and differential equations, Hamiltonian frameworks (repeat, invariant tori, intermittent arrangements). The book displays the subject material from both the subjective and the quantitative perspective. There are numerous cases to delineate the hypothesis and the peruser ought to have the capacity to begin doing research in the wake of concentrate this book.

Figuring Space

Figuring Space PDF Author: Gilles Châtelet
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 240

Book Description
Seeking to capture the problem of intuition of mobility in philosophy, mathematics and physics, this text presents the relationshisp between the three disciplines in terms of a comparison between intuitive practices and discursive practices.

The Ghost in the Machine

The Ghost in the Machine PDF Author: Arthur Koestler
Publisher:
ISBN: 9780090838806
Category : Genetic psychology
Languages : en
Pages : 384

Book Description