TY - BOOK AU - Magnus,P.D. AU - Button,Tim AU - Loftis,J.Robert AU - Thomas-Bolduc,Aaron AU - Zach,Richard ED - BC Open Textbook Project, ED - BCcampus. TI - forall x Calgary remix: an introduction to formal logic AV - BC71 .M342 2018eb PB - forallx.openlogicproject.org KW - Logic KW - Textbooks KW - Electronic books N1 - This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike License; This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license N2 - "This is a textbook on formal logic. The book is divided into eight parts. Part I introduces the topic and notions of logic in an informal way, without introducing a formal language yet. Parts II-IV concern truth-functional languages. In it, sentences are formed from basic sentences using a number of connectives ('or', 'and', 'not', 'if . . . then') which just combine sentences into more complicated ones. We discuss logical notions such as entailment in two ways: semantically, using the method of truth tables (in Part III) and proof-theoretically, using a system of formal derivations (in Part IV). Parts V-VII deal with a more complicated language, that of first-order logic. It includes, in addition to the connectives of truth-functional logic, also names, predicates, identity, and the so-called quantifiers. These additional elements of the language make it much more expressive than the truth-functional language, and we'll spend a fair amount of time investigating just how much one can express in it. Again, logical notions for the language of first-order logic are defined semantically, using interpretations, and proof-theoretically, using a more complex version of the formal derivation system introduced in Part IV. Part VIII covers an advanced topic: that of expressive adequacy of the truth-functional connectives"--BCcampus website UR - https://open.bccampus.ca/browse-our-collection/find-open-textbooks/?uuid=b11be09f-17cf-46c7-a2ab-e5f3dd105713&contributor&keyword&subject UR - http://solr.bccampus.ca:8001/bcc/file/b11be09f-17cf-46c7-a2ab-e5f3dd105713/1/forallxyyc.pdf ER -