By Louis Boutet de Monvel, Corrado de Concini, Claudio Procesi, Pierre Schapira, Michele Vergne, Giuseppe Zampieri, Andrea D'Agnolo

CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels.- C. De Concini, C. Procesi: Quantum groups.- P. Schapira, J.P. Schneiders: Index theorems for R-constructible sheaves and for D-modules.- N. Berline, M. Vergne: The equivariant Chern personality and index of G-invariant operators.

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Assumption-less observations are the most direct experiences we have from the world outside. Therefore, if a theory violates a result of an assumption-less observation, this theory has to be rejected. Clearly, this is also the case when we study the facts of the world by means of certain measurements; a measuring instrument is always constructed on the basis of a certain theoretical world view. In Fig. 1 we do not have objects that are embedded in space and time having the elements x, y, z, and τ.

We have sometimes to live in science with metaphysical elements, but in the case of space and time we need realistic and provable ideas, tailormade to what we really experience. The reason is simple: The nature of space and that of time determine the basic “world view”. In other August 16, 2014 15:31 Mind and Reality— ... - 9in x 6in b1855-ch01 Basic Questions page15 15 words, a wrong idea about space and also about time would inﬂuence our basic views about the world seriously. , a certain interaction between both entities (space, mass) has to be postulated, producing, in the opinion of Newton, the effect of inertia.

August 16, 2014 28 15:31 Mind and Reality— ... - 9in x 6in b1855-ch01 page28 Mind and Reality — The Space-Time Window mA mA xA , yA , z A xA , yA , z A A mB xB , yB , z B A mB xB , yB , z B B B space space Fig. 8 In this ﬁgure we go a step further and put two elementary bodies (body A and body B) into space; body B is characterized by a mass mB and a geometrical point with the coordinates xB , yB , zB and body A again by the mass mA and the coordinates xA , yA , zA . We would like to assume that there is no interaction between the two bodies with mA and mB .