ABSTRACT. The history of modern cosmology has been divided into two periods, The primary discovery phase extended from 1920 to ^1950 when most of the classical tests were developed. The subsequent consolidation period from 1950 to ^1980 saw a deeper understanding of the tests and the introduction of concepts of stellar populations that led to estimates of evolutionary trends with look-back time. The only test not affecte^ by evolutionary effects is the comparison of the Hubble time, Η , with independent estimates of the age of the Universe. The N(m), m(z), θ(ζ), θ(m), and HT (q ,Λ) tests are reviewed as they have been discussed in the archive literature. The problem of observational bias is emphasized, as is the difficult recent search for secular evolutionary effects. Current problems which have prospects for solutions in the next decades are set out in the final section.
PREVIEWCosmology is now a dominant field of modern astronomy, carrying a principal theme in its own right, but also being the background motivation for much of the present work in even traditional astronomical fields from astrometry, to stellar atmospheres and interiors, to galactic structure, and the interstellar medium. The present cosmological thrust is to devise methods for calibrating various cosmological parameters such as Η , the time scale, the 3°K flux, etc., but ultimately to reach back to tße origins of everything from stars, to galaxies, to the Universe itself; the borders of cosmology and cosmogony here being blurred.The connection of cosmology to nearly all other parts of astronomy, and the fact that a good fraction of the young astronomers now take cosmology to be their subject, has not always been. As late as 1938, the last year before the war, there were probably less than 30 cosmologists in the world, and of these perhaps only ^15 had the status of builders of the foundations. Today there are ^1000 cosmologists, of which V30% are at this conference. This rapid growth corresponds to a doubling time of ^10 years, or a 7% growth per year. At this rate, in 1AU.