Constructivity and Computability in Historical and Philosophical Perspective

Released on by Jacques Dubucs
preview-18

  • Constructivity and Computability in Historical and Philosophical Perspective Book Detail

  • Author : Jacques Dubucs
  • Release Date : 2014-08-27
  • Publisher : Springer
  • Genre : Philosophy
  • Pages : 223
  • ISBN 13 : 9401792178
  • File Size : 23,23 MB
DOWNLOAD BOOK

Constructivity and Computability in Historical and Philosophical Perspective by Jacques Dubucs PDF Summary

Book Description: Ranging from Alan Turing’s seminal 1936 paper to the latest work on Kolmogorov complexity and linear logic, this comprehensive new work clarifies the relationship between computability on the one hand and constructivity on the other. The authors argue that even though constructivists have largely shed Brouwer’s solipsistic attitude to logic, there remain points of disagreement to this day. Focusing on the growing pains computability experienced as it was forced to address the demands of rapidly expanding applications, the content maps the developments following Turing’s ground-breaking linkage of computation and the machine, the resulting birth of complexity theory, the innovations of Kolmogorov complexity and resolving the dissonances between proof theoretical semantics and canonical proof feasibility. Finally, it explores one of the most fundamental questions concerning the interface between constructivity and computability: whether the theory of recursive functions is needed for a rigorous development of constructive mathematics. This volume contributes to the unity of science by overcoming disunities rather than offering an overarching framework. It posits that computability’s adoption of a classical, ontological point of view kept these imperatives separated. In studying the relationship between the two, it is a vital step forward in overcoming the disagreements and misunderstandings which stand in the way of a unifying view of logic.

Disclaimer: www.yourbookbest.com does not own Constructivity and Computability in Historical and Philosophical Perspective books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Connecting with Computability

Connecting with Computability

File Size : 31,31 MB
Total View : 8674 Views
DOWNLOAD

This book constitutes the proceedings of the 17th Conference on Computability in Europe, CiE 2021, organized by the University of Ghent in July 2021. Due to COV

Constructive Semantics

Constructive Semantics

File Size : 36,36 MB
Total View : 2880 Views
DOWNLOAD

This edited book brings together research work in the field of constructive semantics with scholarship on the phenomenological foundations of logic and mathemat