Fundamental physics asks philosophers new questions

Abstract: Modern fundamental physics poses new questions for philosophy, which, as it seems to us, have not yet received appropriate attention from philosophers of science. This paper formulates a number of such questions in order to present them to the attention, first of all, of professional philosophers. A rough list of the main themes is as follows: 1) Cosmic variance problem and the meaning of theoretical cosmology; 2) Epistemological status of the concept of Multiverse in cosmology; 3) The operational status of quantum macrostates and the relation of this problem to cosmology; 4) The meaning of the physical reality in the ``final theory''; 5) Criticism of the string theory in the relation with the item 4 above.