Critical Philosophy of Mathematics
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Beschreibung
This book provides a philosophy of mathematics that resonates with critical mathematics education. It draws attention to the social complexities that characterise the period of Modernity including the extreme exploitation of manual workers and their families, brutal forms of colonisations, trading of slaves, and the formation of racist ideologies. It portrays Modernity as a period of contradictions and highlights that mathematics is a part of these contradictions. The text interprets mathematics as being indefinite, seeing that mathematics is a part of the ongoing human constructions. It outlines a performative interpretation of mathematics, portraying mathematics as intrinsically connected to actions. Any kind of action, including mathematics-based actions, calls for ethical considerations and this leads to any mathematical practice, either in research, application, or education, to face ethical challenges. It illustrates with examples how a critical philosophy of mathematics can come to be an integral part of classroom practices.
This book provides a philosophy of mathematics that resonates with critical mathematics education. It draws attention to the social complexities that characterise the period of Modernity including the extreme exploitation of manual workers and their families, brutal forms of colonisations, trading of slaves, and the formation of racist ideologies. It portrays Modernity as a period of contradictions and highlights that mathematics is a part of these contradictions. The text interprets mathematics as being indefinite, seeing that mathematics is a part of the ongoing human constructions. It outlines a performative interpretation of mathematics, portraying mathematics as intrinsically connected to actions. Any kind of action, including mathematics-based actions, calls for ethical considerations and this leads to any mathematical practice, either in research, application, or education, to face ethical challenges. It illustrates with examples how a critical philosophy of mathematics can come to be an integral part of classroom practices.
Opens a new paradigm in the philosophy of mathematics Presents a philosophy of mathematics that resonates with critical mathematics education Contains classroom case studies
Autor*in
Ole Skovsmose
Themen in »Critical Philosophy of Mathematics«
Critical mathematics education Critical philosophy of mathematics Mathematics as indefinite constructions A performative interpretation of mathematics Classroom practices Ambiguities of modernity Modernity and the Holocaust Colonisation of mathematics Modern philosophies of mathematics Logicism as a modern philosophy of mathematics Formalism as a modern philosophy of mathematics Intuitionism as a modern philosophy of mathematics Mathematics in an ethical vacuum Mathematical practices facing an ethical challenge Aporism as a human condition
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“Ole Skovsmose begins his journey into the critical philosophy of mathematics with the advent of modernity. … Ole Skovsmose’s critical philosophy of mathematics fills a giant hole in contemporary philosophy. It offers a philosophy of applied mathematics, something that traditional philosophers have overlooked or turned away from. … . It is now urgent and vital that philosophers, mathematicians and indeed all citizens wake up to these challenges, expressed so forcefully and analysed so convincingly in this book.” (Paul Ernest, Philosophy of Mathematics Education Journal, Issue 42, December, 2024)
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