My translation of some Arabic words, language only, short and no theology - there are much more detailed translations online:
1) Liman (For those)
2) Khaaf (Fear)
3) Maqaam (His Presence, Stature, Power)
4) Rabihi (His God, Lord, Master)
5) Janataan (Two Heavens) i.e. Heaven on Earth and Heaven in the afterlife.
"For those that fear God, two heavens." my translation, other English translations will be much better and more acurate.
That is the 46th verse of the 55th Sowra (Chapter) of the Koran - here is a recitation of that Sowra that will take me to the second part of my answer:
http://www.youtube.com/watch?v=riW4W66ptqIWhy do I believe in it?
That verse is clearly written and easy to understand, but I listened to the whole Sowra 100s of times before it's meaning and what it was saying was pointed out to me, and I have listened to it 100s of times since, the only effect was to make the whole Sowra more enjoyable to read and to listen to. I have enough Arabic to understand the words by myself but the shear beauty of the writing is highly distracting and I missed it till I heard it explained. This is not strange, some verses have been hidden in clear view like that for centuries.
For Muslims interested in Islamic theology rather than reading a book written by a true master of the art of writing, one word is enough "Taqwa" - that word includes those 5 and more. The point I always fail to explain in English is that anyone who learns enough Arabic to actually understand the words will be hit by them, the more Arabic they learn the more their impact. I learned Arabic at 12, it is basic but (Faseeh - classical) but I never got to the grammar so it does not have full effect on me like those that know much better Arabic than me.
That is just one small part of one chapter among 114 chapters, they are all like that, the highest form of Arabic writing ever, it has never been equaled by any writer and it promises that no one ever will write anything like it. People express their ideas about the afterlife, each in his or her own way, some think it does not exist and some think it exists, but no one have ever expressed their thoughts about the issue that well, and I believe that no one ever will.