Information-oriented logic : implications of natural-language sentences and all logical paradoxes solved / Zbigniew Płotnicki.

Format:

Book

Author/Creator:

Płotnicki, Zbigniew, author.

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Information theory.

Physical Description:

1 online resource (xx, 438 pages) : illustrations.

Place of Publication:

Berlin ; Boston : De Gruyter, [2025]

Summary:

"The book introduces a new form of mathematical logic called "Information Oriented Logic" (IOL). It demonstrates that IOL is capable of solving various classical and non-classical logic problems that cannot be solved by traditional methods of logic. In this book, it is argued that two meaningful declarative sentences or symbols can make the same statement if they express the same thing or referent in different ways. The book treats a piece of information as the referent for a meaningful declarative sentence, thus inventing information-oriented logic. As a result, this book provides a comprehensive guide to this logic. Unlike traditional logic, which uses declarative sentences as the result of logical expressions, this new logic uses pieces of information. The book is intended for undergraduate and graduate students, as well as scholars applying mathematical logic to various fields such as philosophy, linguistics, ontology, information theory, computer science, etc. Additionally, it provides a new mereology in which all implications of a piece of information are its parts"-- Provided by publisher.

Contents:

Two important terms

Priorities of operators

Definition

Inference rules

Proving and disproving statements

Subjective and objective logic

Definition – more advanced part

Theory of things – operations on things

New logic – extension

Probabilistic logic

All mathematics derived from logic

Depth and richness of logic

Problems and paradoxes solved

Bonus.

Notes:

Includes bibliographical references and index.

Online resource; title from PDF title page (De Gruyter Brill, viewed October 26, 2025).

Other Format:

Print version: Płotnicki, Zbigniew. Information-oriented logic.

ISBN:

9783111441382

3111441385

9783111441566

3111441563

OCLC:

1535209516

Publisher Number:

CIPO000154299

Access Restriction:

Restricted for use by site license