Does faith mean you give up the God given ability to think?

Today I had an online discussion with a young lady who is of Christian faith. I was curious to know if she was aware of the many discrepancies within the bible and gave her an example. Let me go back a bit, in the beginning of our discussion things were peaceful. Once I made the statement of the discrepancies, she became angry. She made statements about her faith and that I just wanted to start a problem.
Basically after this discussion, I questioned if I understood what "faith" was, so off to Webster I went (okay Encarta):

1. belief or trust: belief in, devotion to, or trust in somebody or something, especially without logical proof
2. religion or religious group: a system of religious belief, or the group of people who adhere to it 3. trust in God: belief in and devotion to God
Encarta ® World English Dictionary © & (P) 1998-2005 Microsoft Corporation. All rights reserved.

Next I thought I'd look up "logic":

1. philosophy theory of reasoning: the branch of philosophy that deals with the theory of deductive and inductive arguments and aims to distinguish good from bad reasoning
2. system or instance of reasoning: any system of, or an instance of, reasoning and inference
3. sensible argument and thought: sensible rational thought and argument rather than ideas that are influenced by emotion or whim
Encarta ® World English Dictionary © & (P) 1998-2005 Microsoft Corporation. All rights reserved.

And lastly of course I had to look up "think":

1. vti form thoughts: to use the mind to consider ideas and make judgments Think carefully before you start writing.
2. vt have something as opinion: to believe something, or have something as an opinion I don't think it will rain today. She seems to think she's a good dancer.
3. vti comprehend something: to imagine or understand something or the possibility of something I can't think of letting you leave so soon.
Encarta ® World English Dictionary © & (P) 1998-2005 Microsoft Corporation. All rights reserved.

From those definitions I come up with:
"faith is believing in something without logical proof"
"logic is sensible rational thought and argument rather than ideas that are influenced by emotion"
"think is to use your mind to consider ideas and make judgment"

Okay now that we all are on the same set of definitions, let's bring the point home. I believe when God/religions implies that we are to have faith He/they are not intending for us to completely ignore our ability to think. I seriously doubt God wants us to believe in Him based strictly on our emotions, because let's face it those change like the wind. And since faith is something that requires no logical proof and is more so an emotional decision I dare to state that this is not how God wants us to base our belief in Him. The faith aspect of God would come to play when we want to figure out how God does what He does. With all the knowledge we have in science we still really don't know how God created the earth (out side of Him speaking it into existence). Since we can not logically explain this, that is where our faith kicks in! You see, I don't need logical proof as to how God created the heavens and the earth, my faith in God covers that.

I wish others could see and understand this distinction, that is what started this blog. Now before all the non Muslims, non Christians and non Jews start making comments, this blog is ONLY intended for Muslims, Christians and Jews. Thanks!