Download or read book A Lattice of Chapters of Mathematics: Interpretations between Theorems written by Jan Mycielski and published by American Mathematical Soc.. This book was released on 1990 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are mathematical theories? What mathematical objects should correspond to this informal concept? The classical and most important answer to these questions is: Theories formalized in first order logic. But this answer has also some undesirable features. One of theme is the dependence of such theories upon the language or the choice of primitive concepts, whereas a slightly deeper view would identify theories interpretable in each other. The purpose of the present memoir is to investigate further, to survey the former work and to point out a number of open problems about local interpretability.