{"product_id":"logic-and-conditional-probability-philip-calabrese-9781848902589","title":"Logic and Conditional Probability: A Synthesis","description":"\u003cp\u003eThis monograph develops an algebra of Boolean \u003cem\u003efractions\u003c\/em\u003e, (ab) - 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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Philip Calabrese\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1848902581\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781848902589\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e College Publications\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/25\/2017\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 286\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.89lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.60d","brand":"Philip Calabrese","offers":[{"title":"Paperback","offer_id":44077625016575,"sku":"9781848902589","price":22.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5ac3faea-aaaf-424c-88d5-6c3d045bddcf.jpg?v=1685470948","url":"https:\/\/www.whiterainbookhouse.com\/products\/logic-and-conditional-probability-philip-calabrese-9781848902589","provider":"WR Book House","version":"1.0","type":"link"}