By J. Lambek, P. J. Scott
During this quantity, Lambek and Scott reconcile assorted viewpoints of the principles of arithmetic, particularly mathematical common sense and classification thought. partially I, they convey that typed lambda-calculi, a formula of higher-order common sense, and cartesian closed different types, are primarily a similar. half II demonstrates that one other formula of higher-order common sense, (intuitionistic) variety theories, is heavily regarding topos concept. half III is dedicated to recursive features. a variety of functions of the shut dating among conventional good judgment and the algebraic language of class conception are given. The authors have integrated an advent to class thought and increase the mandatory common sense as required, making the booklet primarily self-contained. specific old references are supplied all through, and every part concludeds with a suite of routines.