{"product_id":"9781848902589","title":"Logic and Conditional Probability: A Synthesis","description":"\u003cp\u003eThis monograph develops an algebra of Boolean \u003cem\u003efractions\u003c\/em\u003e, (a|b) – ordered\u003c\/p\u003e\u003cp\u003epairs of propositions or events – “a \u003cem\u003eif b\u003c\/em\u003e”, “event a \u003cem\u003egiven \u003c\/em\u003eevent b”. In nine\u003c\/p\u003e\u003cp\u003echapters, the author shows that these conditional propositions (together with\u003c\/p\u003e\u003cp\u003etheir associated instantiations or models):\u003c\/p\u003e\u003cp\u003eProvide logical elements that better represent and more faithfully facilitate\u003c\/p\u003e\u003cp\u003emanipulation of certain and uncertain \u003cem\u003econditional \u003c\/em\u003einformation\u003c\/p\u003e\u003cp\u003eExtend the Boole’s algebra of 2-valued statements to a 3-valued system\u003c\/p\u003e\u003cp\u003ethat includes “\u003cem\u003einapplicable \u003c\/em\u003estatements” - those whose condition may be\u003c\/p\u003e\u003cp\u003efalse in some or all instances (examples, cases, models...)\u003c\/p\u003e\u003cp\u003eAllow a \u003cem\u003edefinition \u003c\/em\u003eof the probability of an arbitrary Boolean proposition\u003c\/p\u003e\u003cp\u003eNon-trivially combine Boolean logic with standard conditional probability\u003c\/p\u003e\u003cp\u003etheory\u003c\/p\u003e\u003cp\u003eProvide a complete and adequate development of the crucial 4th operation\u003c\/p\u003e\u003cp\u003efor Boolean logic, namely \u003cem\u003econditioning, \u003c\/em\u003eincluding iterated conditioning\u003c\/p\u003e\u003cp\u003eProvide an expanded theory of deduction defined in terms of the extended\u003c\/p\u003e\u003cp\u003eoperations on the Boolean fractions\u003c\/p\u003e\u003cp\u003eAdmit a variety of deduction relations, and that the deductively closed sets\u003c\/p\u003e\u003cp\u003egenerated by some initial set of conditionals can be calculated\u003c\/p\u003e\u003cp\u003eExtend the ordinary function operations of sum, difference, product \u0026amp;\u003c\/p\u003e\u003cp\u003equotient to real-valued functions with possibly different or overlapping\u003c\/p\u003e\u003cp\u003edomains of definition\u003c\/p\u003e\u003cp\u003eRepresent \u0026amp; simplify complex conditional statements in Bayesian expert\u003c\/p\u003e\u003cp\u003esystems used to calculate \u003cem\u003emaximum information entropy \u003c\/em\u003esolutions\u003c\/p\u003e\u003cp\u003eExplicate the logic of quantum measurements by better expressing the\u003c\/p\u003e\u003cp\u003echanging conditions in quantum mechanics\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"College Publications","offers":[{"title":"Default Title","offer_id":47046694502640,"sku":"9781848902589","price":18.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781848902589_p0.jpg?v=1763750743","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781848902589","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}