Non-dualistic or Advaitic wisdom makes one realize the whole physical existence (universe or mind) is illusion whereas science and its inventions, which are based on the physical existence are limited to physical existence.

Both modern science and religion offer hypotheses and theories but there is one vital difference--science begins with facts which it collects; religion begins with fancies. Science evolves its hypotheses from such facts, religion from fancies.

Science declares that oxygen combines with hydrogen to give water. And it also declares oxygen is protons or electrons. Non-dualistic or Advaitic wisdom makes one realize  the whole physical existence (universe or mind) is  illusion whereas  science and its  inventions, which are based on the physical existence are  limited to physical existence. The ultimate  truth is hidden  within the universe  but it is beyond the physical existence or form,time and space.  The science demands physical proof.  But the physical proof is part of the illusion. Hence science cannot go beyond physicality because the truth cannot be traced with laboratory conditions.  Deeper self-search   is required if one  wants to push his  quest deeply enough because it is purely mental(inner)  journey.

Common people and primitive minds fall into faulty thinking through their inherited and inborn conditioning , such faulty thinking and reasoning  makes them accept the experience of birth, life and death as reality ; taking what one sees through  the senses  as real, taking what is apparent obvious and superficial as true because it is less troublesome.

Many People adopt the attitude that what   they know is truth. And what others say id false. This attitude makes them not to verify anything other then what they know.   One needs to be rational, not merely logical. Logic is has its value only in physical plane.

As one advances towards spiritual plane he sees the logic underlying experience and becomes more rational. His reasoning is two-fold--implicit and explicit.

There is a need of facts of physical proof in scientific invention, whereas in pursuit of truth the proof has to be grasped mentally and realized.  Therefore, the truth is realized only by few who take this mental pursuit.  “Whatever facts revealed, which is un-contradictable has to be accepted as truth.

The truth based on the formless soul or consciousness, the innermost self is worthwhile; without it, one has something else, not truth.  Most people refuse to venture into pursuit of truth; because they do not want to go into the root of things.

The seeker of truth has to study, inquire and reason in the beginning of the pursuit of truth, because it is absolutely necessary in pursuit of truth.

One has to know the true self is not physical but the formless spirit.  The spirit or soul or the self is in the form of consciousness. Consciousness gives one the awareness of the three states. 

The ignorance of the true self is the cause of experiencing the duality as reality.  The ignorance vanishes through realization of the true Self, which is the  formless soul or consciousness or spirit.