EAN: 9783030013363

CONNECTING HUMANS TO EQUATIONS - OLE RAVN OLE S...

Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents
some of the most important positions in the philosophy of mathematics  while adding new
dimensions to this philosophy. Mathematics is an integral part of human and social life 
meaning that a philosophy of mathematics must include several dimensions. This book describes
these dimensions by the following four questions that structure the content of the book: Where
is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics?
These four questions refer to the ontological  epistemological  social  and ethical dimension
of a philosophy of mathematics. While the ontological and epistemological dimensions have been
explored in all classic studies in the philosophy of mathematics  the exploration of the book
is unique in its social and ethical dimensions. It argues that the foundation of mathematics is
deeply connected to human and social actions and that mathematics includes not just descriptive
but also performative features. This human-centered and accessible interpretation of
mathematics is relevant for students in mathematics  mathematics education  and any technical
discipline and for anybody working with mathematics.

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