{"product_id":"functions-and-generality-of-logic-reflections-on-dedekind-and-frege","title":"Functions and Generality of Logic: Reflections on Dedekind and Frege","description":"\u003cp\u003eIn this review of Functions and Generality of Logic: Reflections on Dedekind's and Frege's Logicisms, the book is recommended for readers seeking a concentrated philosophical and historical analysis of late 19th and early 20th century foundational programs. The single biggest reason to read it is its focused comparison of how \u003cstrong\u003eDedekind\u003c\/strong\u003e and \u003cstrong\u003eFrege\u003c\/strong\u003e approached the term logic and the notion of function, which clarifies differences that matter for anyone tracing the origins of mathematical rigor. The editors present three chapters that together illuminate competing aims and methods rather than offering a broad textbook survey.\u003c\/p\u003e\n\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eComparative focus:\u003c\/strong\u003e The book systematically compares Dedekind's and Frege's interpretations of the term logic, making the contrasts accessible to readers interested in intellectual history.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConceptual analysis:\u003c\/strong\u003e It reflects on Frege's notion of function and explains how that notion operated within both Fregean and Lagrangian foundational programs.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eHistorical scope:\u003c\/strong\u003e The study situates debates about arbitrary functions within the perspectives of Frege, Ramsey and Russell, showing shifts in foundational thinking.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConcise structure:\u003c\/strong\u003e Composed of three chapters, the book delivers a concentrated argument without superfluous material, useful for seminar reading.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eScholarly editorship:\u003c\/strong\u003e Edited by Hourya Benis-Sinaceur, Marco Panza and Gabriel Sandu, the volume reflects an academic approach to logicism and its variants.\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThe book is ideal for graduate students, researchers and informed readers in the history and philosophy of mathematics who want a focused study on how \u003cstrong\u003elogicism\u003c\/strong\u003e diverged between Dedekind and Frege and how the notion of function was deployed in foundational projects. It suits seminar reading where close comparison and argumentation about primary figures are required.\u003c\/p\u003e\n\n\u003cp\u003eReaders seeking an introductory textbook or a broad survey of mathematical logic should look elsewhere, since the volume assumes familiarity with basic historical players and does not serve as a general primer on logic or arithmetic. Those wanting extensive biographical detail or pedagogy-oriented exercises may find the scope narrow.\u003c\/p\u003e\n\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eClear comparative account that highlights substantive differences between Dedekind and Frege rather than treating them as a single tradition.\u003c\/li\u003e\n\u003cli\u003eFocused examination of \u003cstrong\u003eFrege's notion of function\u003c\/strong\u003e, helpful for understanding later philosophical debates.\u003c\/li\u003e\n\u003cli\u003ePlaces the notion of arbitrary function in historical context by addressing Ramsey and Russell perspectives.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eThe concise, three-chapter format limits breadth and may leave readers wanting more extensive background or auxiliary references.\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eFunctions and Generality of Logic: Reflections on Dedekind's and Frege's Logicisms\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eLogic, Epistemology, and the Unity of Science, 37\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eEditors\/Authors\u003c\/td\u003e\n\u003ctd\u003eHourya Benis-Sinaceur, Marco Panza, Gabriel Sandu\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eStructure\u003c\/td\u003e\n\u003ctd\u003eThree chapters focused on comparative analysis\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eMain topics\u003c\/td\u003e\n\u003ctd\u003eDedekind vs Frege; notion of function; arbitrary functions (Frege, Ramsey, Russell)\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eApproach\u003c\/td\u003e\n\u003ctd\u003ePhilosophical and historical analysis of logicism\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eThis focused scholarly volume is a good purchase for readers wanting a precise, comparative discussion of Dedekind and Frege and of the concept of function in foundational programs. It delivers clear, argument-driven analysis in a compact form and represents good value for seminar use or targeted research, though not for beginners seeking a broad introduction.\u003c\/p\u003e\n\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eDoes this book cover both Dedekind and Frege in depth?\u003c\/strong\u003e\u003cbr\u003eYes; it concentrates on comparative analysis across three chapters, emphasizing differences in their interpretations of terms and the role of function.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eIs this suitable as an introductory text?\u003c\/strong\u003e\u003cbr\u003eNo; the book assumes background knowledge and is better suited for graduate students or researchers rather than first-time readers of the history of logic.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eWho edited this volume?\u003c\/strong\u003e\u003cbr\u003eThe book is edited by Hourya Benis-Sinaceur, Marco Panza and Gabriel Sandu, and it appears in the Logic, Epistemology, and the Unity of Science series.\u003c\/p\u003e","brand":"Hourya Benis-Sinaceur, Marco Panza, Gabriel Sandu","offers":[{"title":"Default Title","offer_id":48661347729627,"sku":"331936782X","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/71uA0hiyqAL._SL1254.jpg?v=1778698359","url":"https:\/\/gearmusthave.com\/products\/functions-and-generality-of-logic-reflections-on-dedekind-and-frege","provider":"GearMustHave","version":"1.0","type":"link"}