Essence of Numbers
Essence of Numbers This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers. Although they are the simplest and most common mathematical…
Specifikacia Essence of Numbers
Essence of Numbers
This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers. Although they are the simplest and most common mathematical objects, as this book reveals, they have a very complex nature whose study illuminates subtle features of the functioning of our thought.Using jointly history, mathematics and philosophy to grasp the essence of numbers, the reader is led through their various interpretations, presenting the ways they have been involved in major theoretical projects from Thales onward. They are treated as epistemic objects: mathematical objects that have been subject to epistemological inquiry and attention throughout their history and whose conception has evolved accordingly.
Some pertain primarily to philosophy (as in the works of Plato, Aristotle, Kant, Wittgenstein...), others to general mathematics (Euclid's
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