We present the results of a high statistics Monte Carlo study of a mod
el for four dimensional euclidean quantum gravity based on summing ove
r triangulations. We show evidence for two phases; in one there is a l
ogarithmic scaling of the mean linear extent with volume, whilst the o
ther exhibits power law behaviour with exponent 1/2. We are able to ex
tract a finite size scaling exponent governing the growth of the susce
ptibility peak.