What Do You Mean By Proof?, Greg Koukl.
What Is Your Best Answer When Asked to Prove God Exists?, Greg Koukl
Where’s the Proof for God?, Greg Koukl.
An Absolute Proof for God, by Joshua Pillows.
The Moral Argument
If there is no God, then there is no objective morality.
There is objective morality (i.e. the problem of evil)
Therefore, there is a God.
The Teleological Argument
The world shows evidence of design (purpose, benefit, regularity, suitability for life)
Such design implies a designer
Therefore, the designer for the world (which must be adequate for the cause) is God.
Cosmological Argument
For anything to have come into existence, something must have cause it to come into existence (effects have causes).
The material universe (cosmos) come into existence some time in the past.
Proof for the existence of God is that without God, you cannot prove anything at all.