The question is how quickly. Here's yet another summary of what is in this weblog. Since April, we have shown that primary evidence of human knowledge, as shown in patents and academic publication, doubles at different rates for different sectors, ranging from 2 years for nanotechnology to 21 years for other sectors.
Secondary evidence, such as the number of university students and funding for research, varies by country. The OECD has reduced government funding for research (and the growth in patents and students in scientific disciplines) has dropped to zero. China and India, among others, are funding research and encouraging students to enter scientific fields, and they are seeing rapid gowth in publications, patents, research funding and students.
But the growth of Asian knowledge engines has not yet replaced the flattening of the growth curve in the developed world. This has led to uneven growth in knowledge--in sexy sectors like nanotechnology, growth is very rapid. In other areas, such as Alzheimer's Disease, it is not as rapid as one would think.