Conference in Mathematical Logic — London ’70 [electronic resource] / edited by Wilfrid Hodges.

Inductive definitions and analogues of large cardinals -- Compact injectives and Non-Standard Analysis -- Non-axiomatizability results in infinitary languages for higher-order structures -- ? 1 1 models and ? 1 1 -categoricity -- Infinitary properties, local functors, and systems of ordinal functions -- Logics containing S4 without the finite model property -- An ?-calculus system for first-order S4 -- Craig's interpolation theorem for modal logics -- A note on models and submodels of arithmetic -- An application of ultra-products to prime rings with polynomial identities -- Embedding nondistributive lattices in the recursively enumerable degrees -- Direct powers with distinguished diagonal -- Solution of problems of choquet and puritz -- Some B. Russell's sprouts (1903 – 1908) -- On models of arithmetic -- -definability in set theory -- Initial segments and implications for the structure of degrees -- Abstracts of contributed papers.