Most philosophical accounts of emergence are incompatible with reducti
on. Most scientists regard a system property as emergent relative to p
roperties of the system's parts if it depends upon their mode of organ
ization-a view consistent with reduction. Emergence can be analyzed as
a failure of aggregativity-a state in which ''the whole is nothing: m
ore than the sum of its parts.'' Aggregativity requires four condition
s, giving tools for analyzing modes of organization. Differently met f
or different decompositions of the system, and in different degrees, t
hese conditions provide powerful evaluation criteria for choosing deco
mpositions, and heuristics for detecting biases of vulgar reductionism
s. This analysis of emergence is compatible with reduction.