In this post I will refer you to the book "The Case For The Resurrection of Jesus" by Gary Habermas and Michael R. Licona [2004 Kregel Publications]. This is an excellent read presenting what is called the "minimal facts" approach to explaining the resurrection of Jesus and overcoming various objections and novel speculations.
1- That there was no resurrection (this goes with that there was no Jesus, a concept which has been all but utterly debunked, even by many of the most liberal scholars)
2- Believers suffered from delusions
3- Believers suffered from hallucinations
4- Believers suffered an illusion
5- Believers suffered some sort of conversion disorder (Neurological disorder)
The first issue of "no resurrection" is also held by the religion of Islam, which claims that Jesus could not have risen because he didn't suffer death on the cross. This is also a view held by historic revisionists asserting that there was no Jesus of history (at least of biblical history) and that the gospel is a conflation of legend or ancient myth. I've noted that in my post, "The Raging Battle For The Jesus Of History".
Although I don't plan to spend much time on either of those arguments in this post, there is an overwhelming amount of evidence that both of those hypothesis are untrue. For one, even the most liberal scholars and even those whom I've deemed anti-Christ advocates, agree that there was certainly and without question a Jesus of history, who's acts and actions were recorded within scripture. In addition, the extra-biblical record of Josephus, Tacitus, Lucien, Mara Bar-Serapion and the Talmud together provide strong evidence that not only did Jesus exist, but that he was crucified and died of crucifixion on the cross as the gospels recount.
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