{"product_id":"9781475720808","title":"Boolean Reasoning: The Logic of Boolean Equations","description":"\u003ch1\u003eBoolean Reasoning: The Logic of Boolean Equations\u003c\/h1\u003e \u003ch2\u003eBrown, Frank Markham\u003c\/h2\u003e \u003cp\u003eThis book is about the logic of Boolean equations. Such equations were central in the \"algebra of logic\" created in 1847 by Boole [12, 13] and devel­ oped by others, notably Schroder [178], in the remainder of the nineteenth century. Boolean equations are also the language by which digital circuits are described today. Logicians in the twentieth century have abandoned Boole's equation­ based logic in favor of the more powerful predicate calculus. As a result, digital engineers-and others who use Boole's language routinely-remain largely unaware of its utility as a medium for reasoning. The aim of this book, accordingly, is to is to present a systematic outline of the logic of Boolean equations, in the hope that Boole's methods may prove useful in solving present-day problems. Two Logical Languages Logic seeks to reduce reasoning to calculation. Two main languages have been developed to achieve that object: Boole's \"algebra of logic\" and the predicate calculus. Boole's approach was to represent classes (e. g. , happy creatures, things productive of pleasure) by symbols and to represent logical statements as equations to be solved. His formulation proved inadequate, however, to represent ordinary discourse. A number of nineteenth-century logicians, including Jevons [94], Poretsky [159], Schroder [178], Venn [210], and Whitehead [212, 213], sought an improved formulation based on ex­ tensions or modifications of Boole's algebra. These efforts met with only limited success.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-11-14\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781475720808\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4757-2078-5\u003c\/p\u003e \u003cp\u003eDimensions: 235.0cm x155.0cm\u003c\/p\u003e \u003cp\u003ePages: 276.0\u003c\/p\u003e ","brand":"Springer US","offers":[{"title":"Default Title","offer_id":44408284381324,"sku":"9781475720808","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781475720808.jpg?v=1755791106","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781475720808","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}