This is to announce the first in the TAC Reprints series: Metric spaces, generalized logic and closed categories F. W. Lawvere Originally published as: Rendiconti del Seminario Matematico e Fisico di Milano, , XLIII (1973), 135-166. Keywords: Metric spaces, enriched categories, logic 2000 MSC: 18D20 Republished in: Reprints in Theory and Applications of Categories, No. 1 (2002) pp 1-37 http://www.tac.mta.ca/tac/reprints/articles/1/tr1.pdf