1. The teleological argument
2. The cosmological argument
3. The moral argument
4. The ontological argument
For an academic exposition on the existence of God by W.L.Craig (a brillliant Christian philosopher who is also an expert on cosmology, quantum mechanics and elementary particle physics) listen to the podcasts on his website. The students ask searching questions, ones which you may ask yourself, and he deals with them soundly and by academic, scholarly standards.
