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Science historian Robert Crease evaluated responses to a 2008  Physics World survey that asked, “Which of the following reflects your views on science and religion?” He found he could place them in this matrix.

(via Science and Religion Today)

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First of all, it's a not necessarily a question of science and religion, but science and spirituality. Religions consist of dogma and ideologies wrapped around and therefore obscure the important common spiritual core found within all religions and philosophies. Over the years there have been a number of prominent physicists and members of the spiritual community who have pointed out where science and spirituality can and do co-exist, as well as reinforce one another through the knowledge of quantum physics. From the physicists' perspective, all forms of matter, broken down past the atomic and sub-atomic particles, are simply nothing more than energy. From the spiritual perspective, this energy is intelligent, conscious energy that is also referred to as consciousness or spirit. This somewhat correlates with the Big Bang theory when there was no time or space until the conscious 'I' wished to know itself experientially, and so the statement, 'I am', generated the start of the space/time continuum, which lends to are relative human experience.

Your understanding of science is horrifyingly lacking.

you obviously have not experienced deep compassion and the connection to our creator, energy is the force which can lead us in which ever direction we choose. It is toward our creator, when we dismiss our ego, live in the moment, have compassion for all, you can experience awesome wonders that I can not explain, you have a lot to look forward to and it is science and spirituality coming together as one. Our thoughts have great power, just as Jesus expressed.

What's yours?

Science is not a set of beliefs, as much as its misunderstanding detractors would have us believe. There is no such thing as a scientific fact. Science is a process of investigation.

If religion is treated as a set of beliefs, e.g., blind faith in an afterlife, religion and science can coexist nicely, even if the religious beliefs never change. If the religious beliefs start to be seen as facts, problems can arise. I think religion as process to understand humanity's depth offers potential of growth.

I believe the designations (the colors) in the table should be rotated 90 degrees clockwise.

Not all religions have set beliefs. A similar scientific perspective is promoted by the Buddha. I seems that what you are talking about is specifically a problem related to religion/science split that began with Descartes and the persecution of science at its beginning. Here is an example of how Buddhist approach the world:

"Don't blindly believe what I say. Don't believe me because others convince you of my words. Don't believe anything you see, read, or hear from others, whether of authority, religious teachers or texts. Don't rely on logic alone, nor speculation. Don't infer or be deceived by appearances."

"Do not give up your authority and follow blindly the will of others. This way will lead to only delusion."
"Find out for yourself what is truth, what is real. Discover that there are virtuous things and there are non-virtuous things. Once you have discovered for yourself give up the bad and embrace the good." - The Buddha

Also, Einstein's perspective agreed:

"The religion of the future will be a cosmic religion. It should transcend personal God and avoid dogma and theology. Covering both the natural and the spiritual, it should be based on a religious sense arising from the experience of all things natural and spiritual as a meaningful unity. Buddhism answers this description. If there is any religion that could cope with modern scientific needs it would be Buddhism." --Albert Einstein

The matrix is correct. The sad thing is that there are way too many people who not only do not understand science but they also do not understand religion and thus they end up in something other than the bottom left corner.

Belief is one's cache of his/her process. And the process should never stop.

Interesting. I thought it was obvious that EVERYTHING is a process! Evolution continues, in science, in religion, in the cosmos itself. Religions and religious people may TRY to establish and maintain sets of beliefs, but they WILL change as cultures evolve. I agree with Rickbuds that we have too long associated religion and spirituality--these are VERY different parts of life. Atheists have spiritual lives, even if they don't use that term, because they experience profound wonder, joy, connection, and transcendence. These spiritual experiences are universal, regardless of religion or lack thereof. For me, revelations from science are a deep source of spiritual renewal. How could I understand the context and implications of the Ultra Deep Field image and NOT be moved spiritually? How could I appreciate the chemical connections between me and every creature that ever lived on earth and not experience spiritual depth? Spirituality and religion are distant cousins at best, and for me spirituality is more about folding laundry or lying on the ground than it is about religion or the supernatural.

Science deals with the physical world and natural laws. The many physical constants in the universe could not be more or less, otherwise life could not exist. Religion deals with the spiritual world and declares that Self-existing Supreme Being holds everything together in science and in religion. The Second Law of Thermodynamics could be seen both in the universe and in the life of people. Hence, the physical constants in the universe are not the result of the Big Bang theory. Science is derived from the Latin word Scientia, which means knowledge. The question then becomes, how does one gain knowledge? One can gain knowledge by learning, experiential, observation, investigation, and experimentation. Scientists and Biblical scholars use all five senses. In the beginning God... (Genesis 1:1). And he is before all things, and in him all things consists (Colossians 1:17). And finally the fear of the LORD is the beginning of wisdom... ( Psalms 111:10).