{"product_id":"mathematical-intuitionism-and-intersubjectivity-critical-exposition","title":"Mathematical Intuitionism and Intersubjectivity - Critical Exposition","description":"\u003cp\u003eIn this review of Mathematical Intuitionism and Intersubjectivity, the reviewer finds a focused, scholarly examination of the historical and philosophical roots of modern intuitionism that will most benefit philosophers of mathematics, graduate students, and historians seeking a concise critical exposition. Tomasz Placek traces Brouwer's 1907 foundational intervention and the ensuing debate with formalists and Platonists, arguing clearly for the importance of philosophical analysis in disputes among mathematicians; the single biggest reason to read this book is its concentrated treatment of how intuitionism developed and why it remained controversial.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eHistorical focus:\u003c\/strong\u003e The book places Brouwer's 1907 dissertation at the center, helping readers understand the origin of modern mathematical intuitionism and its early reception.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePhilosophical analysis:\u003c\/strong\u003e Placek examines how philosophical propositions shaped debates, offering clear exposition for readers interested in the interplay of philosophy and mathematics.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eCritical perspective:\u003c\/strong\u003e The exposition does not merely summarize; it critically assesses arguments for intuitionism and explains why other schools viewed it as harmful.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eIntersubjectivity theme:\u003c\/strong\u003e The book foregrounds the question of what role philosophers can play in mathematical controversies, providing a useful lens for current interdisciplinary debate.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConcise scholarship:\u003c\/strong\u003e The treatment is compact and targeted, making it appropriate for course readings or focused research rather than a broad textbook.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis book is best suited to philosophers of mathematics, graduate students, and scholars of the history of 20th-century mathematics who want a concentrated critique of intuitionism and its critics. It helps readers who already have some familiarity with the basic positions of formalism, Platonism, and intuitionism to see how those positions clashed after Brouwer's dissertation.\u003c\/p\u003e\n\u003cp\u003eThose seeking an introductory textbook on logic or a broad survey of mathematical foundations may find this too narrowly focused; likewise, readers hoping for technical mathematical proofs or a beginner's guide to constructive methods should look elsewhere.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eCareful historical placement of Brouwer's 1907 dissertation gives readers a clear origin story for modern intuitionism.\u003c\/li\u003e\n\u003cli\u003eThoughtful philosophical critique illuminates why formalists and Platonists reacted strongly.\u003c\/li\u003e\n\u003cli\u003eConcise structure makes the book useful as a seminar or course supplement without excessive background material.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eNot intended as a technical manual, so readers wanting formal proofs or extensive constructive mathematics examples may be disappointed.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eMathematical Intuitionism and Intersubjectivity\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSubtitle\u003c\/td\u003e\n\u003ctd\u003eA Critical Exposition of Arguments for Intuitionism\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eSynthese Library\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthor\u003c\/td\u003e\n\u003ctd\u003eTomasz Placek\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFocus\u003c\/td\u003e\n\u003ctd\u003eHistory and philosophy of mathematical intuitionism\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eOrigin point\u003c\/td\u003e\n\u003ctd\u003eBrouwer's 1907 doctoral dissertation\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eMathematical Intuitionism and Intersubjectivity is a valuable, tightly argued volume for readers interested in the philosophical underpinnings and historical trajectory of intuitionism. Its focused critique and attention to the role of philosophers in mathematical disputes make it a good value for graduate seminars and specialists; those wanting broad surveys or technical constructive content should supplement it with other texts.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eDoes this book cover Brouwer's original arguments?\u003c\/strong\u003e\u003cbr\u003eYes; Placek centers Brouwer's 1907 dissertation as the origin of modern intuitionism and analyzes how those arguments prompted debate.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eIs this suitable for beginners in philosophy of mathematics?\u003c\/strong\u003e\u003cbr\u003eIt is best for readers with some prior exposure; the book assumes familiarity with formalism, Platonism, and basic philosophical terms.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWill the book include mathematical proofs?\u003c\/strong\u003e\u003cbr\u003eNo; the emphasis is on philosophical critique and historical exposition rather than on formal mathematical demonstrations.\u003c\/p\u003e","brand":"Tomasz Placek","offers":[{"title":"Default Title","offer_id":48235608670427,"sku":"9048151872","price":85.78,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/51Z7jih_qaL._SL1253.jpg?v=1770841203","url":"https:\/\/gearmusthave.com\/products\/mathematical-intuitionism-and-intersubjectivity-critical-exposition","provider":"GearMustHave","version":"1.0","type":"link"}