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Prof. Peter Janich
local time: 2017-06-26 15:02 (+01:00 )
Prof. Peter Janich Books

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by Peter Janich

Pages: 340
Publisher: Suhrkamp
Year: 1997/2002
ISBN: 3518289349
ISBN: 978-3518289341

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by Peter Janich

Pages: 248
Publisher: Springer
Year: 1992
ISBN: 0792320255
ISBN: 978-0792320258

Description

The three spatial characteristics of length, height and depth are used in the same unreflective way by laymen, technicians and scientists alike to describe the forms, positions and measure of bodies and hollow bodies. But how do we know that the space we live in has just these three dimensions? The question has occupied philosophers and scientists since antiquity. The answers proposed have become ever more presumptuous and have increasingly lost sight of everyday intuitions and have sacrificed explanatory power. In Euclid's Heritage Janich shows that all explanations of three-dimensionality hinge on an unreflective geometrical language which seems to accept the lack of an alternative for the three sorts of entities -- points, lines and planes -- that bound the three extended entities -- lines, planes and solids. This is a Euclidean heritage in a dual sense: Euclid himself adopted a geometrical language from the art of figure drawing, and left a tradition of doing geometry as planimetry and of doing stereometry by rotating plane figures.

The systematic approach offered here starts out from operational definitions of the spatial forms -- plane, straight edge and perpendicularity -- and proofs that only three planes can intersect pairwise orthogonally. This is the constructive solution in the frame theory of action, providing an unequivocal characterisation of spatial relations in the physical world. The traditional order of geometric concepts turns out to be the most important obstacle to the methodical ordering of everyday scientific concepts.


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by Peter Janich

Pages: 264
Publisher: Springer
Year: 1985
ISBN: 9027707243
ISBN: 978-9027707246

Description

Boston Studies in the Philosophy of Science, V30.