Description |
1 online resource (viii, 306 pages) |
Summary |
"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 |
Notes |
This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike License |
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This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license |
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Description based on online resource; title from pdf title page (viewed on April 11, 2019) |
Subject |
Logic -- Textbooks
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Form |
Electronic book
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Author |
Button, Tim, author.
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Loftis, J. Robert, contributor
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Thomas-Bolduc, Aaron, editor
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Zach, Richard, editor.
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BC Open Textbook Project, distributor.
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BCcampus.
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