id: 02323754
dt: b
an: 1998e.03389
au: Otte, Michael; Panza, Marco
ti: Analysis and synthesis in mathematics. History and philosophy.
so: Kluwer, Dordrecht (ISBN 0-7923-4570-3). 456 p. (1997).
py: 1997
pu: Kluwer, Dordrecht
la: EN
cc: E20
ut:
ci:
li:
ab: Since Plato, there have been many interpretations of the ideas of analysis
and synthesis, which are related to mathematical thought.
Mathematicians have appealed to them to distinguish different forms and
styles in their argumentations and expositions. Philosophers have
referred to them for clarification of the specific character of
mathematical knowledge. In the present volume various instances of the
analytic-synthetic distinction are discussed in relation to the history
and philosophy of mathematics, and some new perspectives about possible
interpretations and consequences are suggested. Such an inquiry is
motivated by two convictions. First, behind such a variety of
interpretations, an invariant kernel seems to subsist. Second, the
discussion of these interpretations seems to be a Königsweg for
tackling one of the essential problems mathematics presents for
historians and philosophers, the problem of objectivity as a form of
knowledge. The articles of this book are reviewed individually in
ZDM/MATHDI.
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