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Author: P.D. Magnus Publisher: Good Press ISBN: Category : Philosophy Languages : en Pages : 162
Book Description
Forallx is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This book treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Contents: What is logic? Sentential logic Truth tables Quanti ed logic Formal semantics Proofs Other symbolic notation Solutions to selected exercises
Author: P.D. Magnus Publisher: Good Press ISBN: Category : Philosophy Languages : en Pages : 162
Book Description
Forallx is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This book treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Contents: What is logic? Sentential logic Truth tables Quanti ed logic Formal semantics Proofs Other symbolic notation Solutions to selected exercises
Author: P. D. Magnus Publisher: Orange Grove Texts Plus ISBN: 9781616100353 Category : Languages : en Pages : 0
Book Description
This book is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. It contains content, practice exercises, symbolic notations, and solutions to selected exercises. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. Anyone using this book is best advised to make a hard copy for reading and to work through practice exercises with pencil and paper. See: http: //www.fecundity.com/logic/download.html to download the book in raw LaTeX, and to link to Lulu on-demand publisher to order a bound hard copy. The most recent version is available on-line at http: //www.fecundity.com/logic, OGT+ ISBN: 97816161003
Author: P.D. Magnus Publisher: DigiCat ISBN: Category : Philosophy Languages : en Pages : 164
Book Description
Forallx is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This book treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Contents: What is logic? Sentential logic Truth tables Quanti ed logic Formal semantics Proofs Other symbolic notation Solutions to selected exercises
Author: P. D. Magnus Publisher: ISBN: Category : Electronic books Languages : en Pages : 389
Book Description
"forall x: Calgary is a full-featured textbook on formal logic. It covers key notions of logic such as consequence and validity of arguments, the syntax of truth-functional propositional logic TFL and truth-table semantics, the syntax of first-order (predicate) logic FOL with identity (first-order interpretations), translating (formalizing) English in TFL and FOL, and Fitch-style natural deduction proof systems for both TFL and FOL. It also deals with some advanced topics such as modal logic, soundness, and functional completeness. Exercises with solutions are available. It is provided in PDF (for screen reading, printing, and a special version for dyslexics) and in LaTeX source code. A proof editor/checker for the proof system used is available at proofs.openlogicproject.org."--BCcampus website.
Author: Richard Zach Publisher: ISBN: Category : Languages : en Pages : 418
Book Description
A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
Author: P.D. Magnus Publisher: ISBN: Category : Logic Languages : en Pages :
Book Description
"Forall x is an open access introductory textbook in formal logic. It covers translation, proofs, and formal semantics for sentential and predicate logic."--BC Campus website.
Author: Paolo Mancosu Publisher: Oxford University Press ISBN: 0192895931 Category : Philosophy Languages : en Pages : 431
Book Description
An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.
Author: P.D. Magnus
Author: P.D. Magnus
Author: P. D. Magnus
Author: P. D. Magnus
Author: P.D. Magnus
Author: P. D. Magnus
Author: Richard Zach
Author: P.D. Magnus
Author: Alfred North Whitehead
Author: 
Author: Paolo Mancosu