Science is not scientific

Science is not scientific - as paradox as that sounds, it's true. The term "scientific" involves having an objective and unbiased attitude towards the question of interest. This, science does not have, implicitly. This is because science looks at the world as if it were a an intricate machine. It believes, that you'd need to find the right laws, levers and rules and you'd understand the whole, becoming a ruler of the universe. That approach in itself is not problematic. Looking for levers and machine-like characteristics is no problem. The issue arises when the a priori - in this case the assumption that the world is machine-like - becomes the only thing thant science can see. It is as if you had put on goggles that only see the colour green and then proclaim that because everything seems to be green, existence is green. (Natural-)science is concerned only with the machine-able aspects of reality and cannot see the integral, lively, whole existence. In this, science is not scientific. It has a bias: "The world is a machine", and it cannot step outside itself to examine other possibilities.

When science examines a leaf, for example, it would look into the molecular structures, into the light-absorbing properties, into the evolutionary aspects of it. It would find mechanisms, laws, properties that are the same for every leaf on the planet. The leaf, in the eyes of some branches of science, is a complicated physics machine for making sugar out of sunlight. It can only find machine-like aspects, because it has set itself rules and beliefs that only allow for that. 
A truly unbiased and "scientific" approach would be to look at existence in its entirety. One might then propose that the world is a machine and might go out and examine it. One might put on the glasses, seeing all the machine-like aspects. But one has to take a step back and examine the glasses, very thoroughly. Everything else would be unscientific.

The way forward is not an abandonment of science, but a step back and an examination of the instrument. It is necessary and helpful to know which instrument you are using in order to understand and approach existence. As a starting point for other paths towards the integral, experiential pursuit of knowledge, I suggest looking at the many centuries of wisdom traditions all around the globe. There are many paths that lead to greater truth.