There are already a lot of answers out there. Pretty inspiring too. But the person who asked wasn't Christian, but recently (at that time) gave up their faith. He asked why do we believe, and proceeded to give 3 reasons why he no longer does. I doubt that poster is still here to read the answers. But it's a good place to look at some of our answers too.
http://christianforums.net/Fellowship/index.php?threads/why-do-you-believe.64691/
For me my foundation starts in my experiences. Several experiences gave me without a doubt the truth that God exists. Nothing of a great healing nature, but definitely enough. A few of those Hod gave me His compassion while I was low. Because of this I know of His love, which pitiable you influenced my figuring that God's love would reach out to the world as a whole and at least one religion must be from Him.
Second step in this foundation is through prayer. It's two fold. One aspect is that it showed me that God is real. The other aspect is I prayed before I knew who God was, and I was raised in a family with two religions, but both still believed in God. My figuring is that God responded to those prayers when I prayed so He must be the God of the bible, because I doubt He would answer a prayer to someone else and let them get credit as well as lead the person astray. So because of prayer I concluded that at least the Jewish prophets must have been from God. So I started reading the old Testiment of the bible, which eventually lead to the new Testiment see if I thought Jewish prophets were really from God, and then to see if both Jewish and Christian scriptures are from God.
That leads to my third foundation. This one is what I draw as much as
I can from. Studying the scripture the first time was part of my search for God, and while doing so it felt like God or one of His angels was there helping me read. It was such an encouragement that when I felt the same connection within the New a Testiment I accepted that both Israelite prophets were from God, as well as Jesus. I then tried to start the Quaran. Didn't get far, and later learned that Muslims believe that the bible has been corrupted. That was enough to stop the journey. God's word would be protected by God Himself. Any religion after Christianity that followed the same lineage as Islam is not the same lineage of Jewish and Christian writings. This unfortunately meant rejecting my dad's faith.
I would like to have a fourth foundation to my faith. To have the Holy Spirit (being able to Talk to God and hear Him respond, or gifts of the spirit I suppose), or know Jesus. Both are aspects I hope for and look forward to if God allows it. But what I have now is more then enough, and are things that keep me strong in my faith.
Something that pains me to know that not all Christians have this and some when confronted with doubt or with the perspectives of a nonbeliever, don't have things to anchor them in their knowledge that God is real. What I have can grow, but it is more then enough on it's own too, so I should be grateful and not greedy.