The American Heritage Dictionaries has this definition for supernatural[1]:

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su·per·nat·u·ral

adj:

1. Of or relating to existence outside the natural world.
2. Attributed to a power that seems to violate or go beyond natural forces.
3. Of or relating to a deity.
4. Of or relating to the immediate exercise of divine power; miraculous.
5. Of or relating to the miraculous.

n:

1. That which is supernatural.

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We exclude all supernatural concepts and entities, such as spirits or souls that survive death, from our discussions of the hard problem.

The pragmatic implications of this are that we believe consciousness to be approachable via the scientific method. We believe that scientific research will not only eventually result in a real understanding of what everything in the mind is and how it works, but also eventually allow us to artificially engineer, fix, and improve everything to do with consciousness and the mind. We also believe that such an achievement will turn out to be the greatest and world changing scientific discovery of all time.

[2] "supernatural." The American Heritage® Dictionary of the English Language, Fourth Edition. Houghton Mifflin Company, 2004. Answers.com 20 Nov. 2007