Logic, Epistemology, and the Unity of Science

Information and Knowledge

A Constructive Type-theoretical Approach

Authors: Primiero, Giuseppe

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  • Contains a complete (and updated) logical and philosophical introduction to Constructive Type Theory
  • Presents a newly formulated and conceptually developed presentation of the Problem of Analyticity
  • Introduces a complete epistemic constructive interpretation for the notion of Information
  • Provides a framework which extends the constructive epistemology
  • Represents the basis for developing a type-theoretical Dynamics
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About this book

This book develops a philosophical and logical interpretation of the concept of information within the formal structure of Constructive Type Theory (CTT), in a manner concurrent with a diverse range of contemporary perspectives on the philosophy of information. On the basis of this conceptual framework, the problem of analyticity for logical derivations is faced and a solution is proposed.

The text begins with a presentation of the formal structure of CTT, paying particular attention to some topics that have been neglected by current researchers in Type Theory. The treatment is especially formulated for logicians with a philosophical background, but without neglecting a complete formulation of all the technicalities and formal properties. The problem of analyticity is then introduced via an historically and theoretically oriented formulation, beginning with Kant and Bolzano and following its development up to the introduction of the notion of information, extending some lines of research introduced in the contemporary debate by Hintikka. The semantical approach to information is reconsidered in the light of a constructive approach to epistemology, leading to a theoretical analysis of knowledge systems. This allows for the presentation of a formal structure, based on certain typical operations in the formalization of CTT and the use of formal properties of Kripke models, in which the notions of information and knowledge are defined as epistemically different. These definitions involve an extension of constructive epistemology, bringing new material to the extremely open range of problems determined by the notion of verification and the related theory of meaning.

Information and Knowledge presents a new interesting perspective on the constructive interpretation of knowledge processes, suggesting the reliability of such an approach for the logical modeling of epistemic problems and proposing a unifying frame from one of the more important contemporary philosophical perspectives.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $139.00
price for USA in USD
  • ISBN 978-1-4020-6170-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-1-4020-6169-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $179.99
price for USA in USD
  • ISBN 978-90-481-7556-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Information and Knowledge
Book Subtitle
A Constructive Type-theoretical Approach
Authors
Series Title
Logic, Epistemology, and the Unity of Science
Series Volume
10
Copyright
2008
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-6170-7
DOI
10.1007/978-1-4020-6170-7
Hardcover ISBN
978-1-4020-6169-1
Softcover ISBN
978-90-481-7556-7
Series ISSN
2214-9775
Edition Number
1
Number of Pages
IX, 208
Topics