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Alasdair Urquhart on Noncla...
This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhartâs work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russellâs Collected Papers.
Monografía
monografia Rebiun34400473 https://catalogo.rebiun.org/rebiun/record/Rebiun34400473 DE-He213 cr nn 008mamaa 231220s2022 sz | s |||| 0|eng d 9783030714307 978-3-030-71430-7 10.1007/978-3-030-71430-7 doi UAM 991008179441104211 CBUC 991010724219106709 UCAR 991008310167104213 CBUC 991010724219106709 UR0544906 UR HPL bicssc PHI011000 bisacsh QDTL thema 160 23 Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs electronic resource] edited by Ivo Düntsch, Edwin Mares. 1st ed. 2022 Cham Springer International Publishing Imprint: Springer 2022. Cham Cham Springer International Publishing Imprint: Springer XIII, 586 p. 66 illus., 5 illus. in color. online resource. XIII, 586 p. 66 illus., 5 illus. in color. Text txt rdacontent] computer c rdamedia] online resource cr rdacarrier] text file PDF rda Outstanding Contributions to Logic 2211-2766 22 Part 1: Introduction -- Chapter 1. Brief introduction by the editors -- Chapter2. Overview of Urquhart's work -- Chapter 3. Autobiographical Essay by Urquhart -- Part 2: Papers on algebraic logic and lattice theory -- Part 3: Papers on the complexity of proofs -- Part 4: Papers on philosophical logic and papers on history of logic -- Part 5: A response to the papers by Urquhart. This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhartâs work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russellâs Collected Papers. Logic Mathematical logic Álgebra Logic Mathematical Logic and Foundations Álgebra Mathematical Logic and Foundations Düntsch, Ivo. editor. edt. http://id.loc.gov/vocabulary/relators/edt Mares, Edwin David editor. edt. http://id.loc.gov/vocabulary/relators/edt SpringerLink (Online service) Springer Nature eBook Springer Nature eBook Printed edition 9783030714291 Printed edition 9783030714314 Printed edition 9783030714321 Outstanding Contributions to Logic 2211-2766 22.