Rupert Sheldrake has some major concerns about our current science, which is actually more believing rather than knowing.
He explains that science of today is based on dogmas and that 10 of them especially are very suspicious:
1. That nature is mechanical.
2. That matter is unconscious.
3. The laws of nature are fixed.
4. The totally amount of matter and energy are always the same.
5. That nature is purposeless.
6. Biological inheritance is material.
7. That memories are stored as material traces.
8. The mind is in the brain.
9. Telepathy and other psychic phenomena are illusory.
10. Mechanistic medicine is the only kind that really works.
In the video on top he shortly explains his encounters with science and scientist of today. For a more extended explanation, I would recommend this video: http://www.youtube.com/watch?v=uD2qScZlvYE&feature=player_embedded,
or better go to his book for the complete argument: "The Science Delusion: Freeing the Spirit of Enquiry"
For what it is worth, he is not the only scientist who is being a doubting Thomas. During the course of history there were many “forgotten” sincere researchers. Below is an excerpt from the work of Walter Russell, with similar arguments concerning the so called science of today.
No One-Way Universe
The fundamental cosmogony of the then-accepted science, which so amazed me, was what might be termed a transient, discontinuous, unbalanced, on-way universe, which had a beginning eons ago, by the unexplained and unexplainable formation of a tremendous flaming mass of heat, which is slowly radiating away by splitting into smaller masses, which expand within themselves and from each other until they eventually end in heat death. Out of this unnatural theory came the first and second laws of thermodynamics that have no validity whatsoever, for the premise that heat is energy, upon which they are founded has no validity. The resultant one-way universe allowed for no compensating generation to counterbalance its radiation, despite the accepted law of equal and opposite action and reaction. “Energy cannot run up hill,” science says, “it can only run down hill.” It so happens in God’s plan that energy runs neither up nor down hill.
(Walter Russell: Home Study Course in Cosmic Consciousness, Prelude)