The world is on the brink of a revolution in thought unlike any seen since the overthrow of Ptolemic geocentrism. Two of the major ideas that have permeated the thinking of the 20th century are under attack and will probably be overturned in the next millenium. These two ideas currently in a state of crisis are darwinian evolution and big bang cosmology. The fall of big bang cosmology will probably be worse, since it will likely take with it the current thinking in particle physics and thermodynamics. The main reasons for these crises lie in the fact that both cosmology and evolution seem to be exempt from the scientific requirement that they be supported by observation and experimentation. They are grounded in deductive, rather than inductive logic. They fail to see the simple logical error of assuming that if all dogs have tails, and this animal has a tail, then it must be a dog. In short, these two ideas come closer to being religious beliefs than scientific theories.