Evolutionary biology has a punctuated history. It arose as a conceptual macromutation on November 24, 1859-disgorged, as Mencken (1931) put it, one stupendous and appalling dose-and has undergone stasis or slow anagenesis ever since. Indeed, much of the field still consists of repeated demonstrations of phenomena first described by Darwin, or of epiphenomena derived from them. The study of speciation, however, is a conspicuous exception. Despite the title of his famous book, Darwin was notably unsuccessful in solving the real problem of organic diversity: why plants and animals in a habitat fall into discrete, nonoverlapping packages. It is widely accepted that his failure came from his inability to conceptualize species as noninterbreeding groups (see Mayr 1959) and to recognize that the origin of species was identical to the origin of the barriers to interbreeding. Because Darwin considered species to be only highly evolved morphological varieties (indeed, The Origin of Species should have been called The Origin of Adaptations), he confused adaptation within lineages with the origin of new lineages. Although the two are connected, the former does not automatically produce the latter. Understanding how one species of warbler becomes adapted to its habitat does not explain why four other distinct species-and no intermediates-occupy the same patch of forest. One solution was suggested by geneticists like Bateson and Goldschmidt, who correctly conceived the species problem to be the explanation of organic gaps, but then mistakenly ascribed them to single mutations causing large morphological change. This idea foundered on the lack of a convincing scenario for fixing these mutations and on the evidence that species differed in not one but many genes. For many years after Darwin, the origin of species remained the most important unsolved problem of evolution. The mathematical evolutionists of the modem synthesis had little to say about this problem, and much of what they did say was wrong. Our modern theories of speciation derive almost entirely from a naturalist and an experimentalist, Ernst Mayr and Theodosius Dobzhansky, and their two classic books, Genetics and Origin of Species (Dobzhansky 1937) and Systematics and the Origin of Species (Mayr 1942), later rewritten and expanded as Animal Species and Evolution (Mayr 1963). On the occasion of Mayr's ninetieth birthday, I am pleased to pay him tribute by discussing and evaluating his four major contributions to the species problem. Three of these-the emphasis on discontinuous organic forms, the encapsulation of such discontinuities in the biological species concept, and the theory of allopatric speciation-are milestones of evolutionary biology that constitute the modem dogma of speciation. Mayr's fourth contribution, the idea of revolutions in isolated populations, is decidedly less important, and, it seems to me, probably incorrect. It will be impossible to discuss Mayr's work without also mentioning that of Dobzhansky, whose genetic expertise made the theory of speciation a true product of the modem synthesis.