Logic Matters PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Logic Matters PDF full book. Access full book title Logic Matters by Peter Thomas Geach. Download full books in PDF and EPUB format.
Author: Peter Thomas Geach
Publisher: Univ of California Press
ISBN: 9780520018518
Category : Philosophy
Languages : en
Pages : 360
Get Book Here
Book Description
Author: Peter Thomas Geach
Publisher: Univ of California Press
ISBN: 9780520018518
Category : Philosophy
Languages : en
Pages : 360
Get Book Here
Book Description
Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 9780521008044
Category : Mathematics
Languages : en
Pages : 370
Get Book Here
Book Description
Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.
Author: Peter Kreeft
Publisher: St Augustine PressInc
ISBN: 9781587318078
Category : Philosophy
Languages : en
Pages : 399
Get Book Here
Book Description
Symbolic logic may be superior to classical Aristotelian logic for the sciences, but not for the humanities. This text is designed for do-it-yourselfers as well as classrooms.
Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486782972
Category : Mathematics
Languages : en
Pages : 292
Get Book Here
Book Description
Combining stories of great writers and philosophers with quotations and riddles, this original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2014 edition.
Author: Harry J. Gensler
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 342
Get Book Here
Book Description
Author: P. D. Magnus
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Richard L. Trammell
Publisher: Createspace Independent Publishing Platform
ISBN: 9781535230773
Category :
Languages : en
Pages : 506
Get Book Here
Book Description
This text does not presuppose any technical background in math or logic. The first seven chapters cover all the basic components of a first course in symbolic logic, including truth tables, rules for devising formal proofs of validity, multiple quantifiers, properties of relations, enthymemes, and identity. (One exception is that truth trees are not discussed.) The five operator symbols used are: (.) and, (v) or, ( ) not, and also if-then, represented by the sideways U and material equivalence represented by the triple line. There are also four chapters which can be studied without symbolic logic background. Chapter 8 is a study of 7 immediate inferences in Aristotelian logic using A, E, I, O type statements with a detailed proof concerning what existential assumptions are involved. Chapter 9 is a study of classic Boolean syllogism using Venn diagrams to show the validity or invalidity of syllogisms. Chapter 10 is a study of the type of probability problems that are deductive (example: having 2 aces in 5 cards drawn from a randomized deck of cards). Chapter 11 is a study of the types of problems that are often found on standardized tests where certain data are given, and then multiple-choice questions are given where the single correct answer is determined by the data. In the symbolic logic chapters, it is shown many times how putting English statements into symbolic notation reveals the complexity (and sometimes ambiguity) of natural language. Many examples are given of the usage of logic in everyday life, with statements to translate taken from musicals, legal documents, federal tax instructions, etc. Several sections involve arguments given in English, which must be translated into symbolic notation before proof of validity is given. Chapter 7 ends with a careful presentation of Richard's Paradox, challenging those who dismiss the problem because it is not strictly mathematical. The conclusion of this chapter is the most controversial part of the text. Richard's paradox is used to construct a valid symbolic logic proof that Cantor's procedure does not prove there are nondenumerable sets, with a challenge to the reader to identify and prove which premise of the argument is false. There are several uncommon features of the text. For example, there is a section where it is shown how the rules of logic are used in solving Sudoku puzzles. Another section challenges students to devise arguments (premises and conclusion) that can be solved in a certain number of steps (say 3) only by using a certain 3 rules, one time each (for example, Modus Ponens, Simplification, and Conjunction). In proofs of invalidity, if there are 10 simple statements (for example), there are 1024 possible combinations of truth values that the 10 statements can have. But the premises and conclusions are set up so that only 1 of these combinations will make all the premises true and the conclusion false - and this 1 way can be found by forced truth-value assignments, with no need to take options. Another unusual section of the text defines the five operator symbols as relations (for example, Cxy = x conjuncted with y is true), and then statements about the operators are given to determine whether the statements are true or false. To aid in deciding what sections to cover in a given course or time frame, certain sections are labeled "optional" as an indication that understanding these sections is not presupposed by later sections in the text. Although there are a ton of problems with answers in the text, any teacher using this text for a course can receive free of charge an answer book giving answers to all the problems not answered in the text, plus a few cases of additional problems not given in the text, also with answers. Send your request to
[email protected], and you will be sent an answer key using your address at the school where you teach.
Author: Nicholas J.J. Smith
Publisher: Princeton University Press
ISBN: 0691151636
Category : Philosophy
Languages : en
Pages : 544
Get Book Here
Book Description
Provides an essential introduction to classical logic.
Author: Theodore Sider
Publisher: Oxford University Press
ISBN: 0192658816
Category : Philosophy
Languages : en
Pages : 305
Get Book Here
Book Description
Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.
Author: Lewis Carroll
Publisher: Read Books Ltd
ISBN: 144748066X
Category : Philosophy
Languages : en
Pages : 331
Get Book Here
Book Description
Lewis Carroll the author of the world famous Alice in Wonderland is well known even today for his fiction, but his tenure as professor of mathematics at Oxford university is less well known as is his love of logic problems. Carroll was a mathematician at heart; he deeply loved and was fascinated by the subject. At first it may seem odd that a creator of such nonsensical writings would have such an interest in this area, although the logic involved in maths appealed to the very clever mind of Dodgson, and logical oddities are at the root of a lot of the wit in the Alice books.
