1.Well,in the fist paragraph simply elaborates what is human being,then tells the readers a particular causal history and the way people persist in are the conditions of existed people.Then,the writer defines what is personal identity and says that the causal chain would terminate a person.That means causally relevant spatial-temporal continuity is the decisive factor of personal identity.After that,the second paragraph presents a contrary point of view,that is,god can preserve and re-form a person, which leads the real issue of the article,the possibility of immortality.

2.Well,according to my understanding,the most important key terms are immortality,continuer and spatial-temporal continuity.
Immortality is something can be existed after people's physical body died.With the help of god,something like soul or spirit can be preserved and exist forever is immortality.
Continuer is not the same person as the original deceased person , it is just a fissioned one,which lives in another space,is the continue existence of the deceased.
Spatial-temporal continuity is the necessary condition of personal identity. Also,it provides the possibility for the immortality.

3.(1)From wikipedia,Peter van Inwagen (born September 21, 1942, United States) is an American analytic philosopher and the John Cardinal O'Hara Professor of Philosophy at the University of Notre Dame. He previously taught at Syracuse University and earned his PhD from the University of Rochester under the direction of Richard Taylor and Keith Lehrer. Van Inwagen is one of the leading figures in contemporary metaphysics, philosophy of religion, and philosophy of action.
(2)In this article,Peter van Inwagen introduced the readers the causal relevant matter of immortality.he refers to it as the “naked kernel”,the seed that continues to exist until God "clothes it in a festal garment of new flesh".He also refers to it as“the 'core person'--the brain and central nervous system --or even some special part of it."
(3)The author's question to Peter Van Inwagen is if the material kernel or core part of brain or central nervous system is physical, how can it be preserved through death and its accompanying decay or cremation?
(4)Inwagen responds that it is possible that we only seem to die.At the last moment before death God snatches away and preserves our core matter, substituting something that looks like it. To pull off this switch, God must act out of character and deceive, since no physician or embalmer has yet caught on about the true status of the deceased's remains.

4.(1)Kevin Corcoran was born in 1964.He is the professor of the Department of Philosophy,Calvin College in United States.His research is about the philosophy of mind, metaphysics, philosophy of religion.He has published two books:Soul, Body and Survival: Essays on the Metaphysics of Human Persons and In Search of the Soul: Four Views of the Mind-Body Problem, Rethinking Human Nature: A Christian Materialist Alternative to the Soul.Soul, Body and Survival: Essays on the Metaphysics of Human Persons is about how are soul and body related to one another? Are human beings immaterial souls, or complex physical organisms? The first book to connect the metaphysics of persons with the belief in life after death, thus intersecting with theological as well as philosophical inquiry, it blurs the divide between metaphysics and the philosophy of mind.
(2)In the article,Kevin Corcoran suggests that god causes the simple elements that compose the body, at the very last instant of an earthly life, to fission into spatially segregated sets of causally-related simple elements.One set becomes the corpse, while the other continues to exist in some other sphere.
(4)The author's questions to Kevin Corcoran are Which set is the real person: the corpse or the fission-produced person living in another space? How would one decide that one of these rather than the other is the person who had previously existed, since the respective composition of the two is the same. And if there is little reason to choose one rather than the other, how can persons conclude that they have survived their death rather than died? The continuer is contingently but not necessarily the same person, then two identical persons are occupying two different spaces, so that neither would be the same as the dying person?
(5)Corcoran’s response is that the person is the closest continuer.Since the deceased did not continue, there is only one continuer, the fissioned person living in another space.He also responds that having what becomes the corpse live for a time after the fission and then die would not be a possible scenario, for God is a loving being who cannot let people suffer demise. Since God as omnipotent cannot do the impossible or what is contrary to God’s nature, it is impossible for the deceased to have been that person.

5.(1)In my opinion,because people have the problem that two identical persons occupying two different spaces, so that neither would be the same as the dying person.However,after introducing the attribute of God,we will know God can't let people suffer demise.And,because of the contrarty of God's nature,it is impossible for the deceased to have been that person.
(2)The reason why other problems remained is that God is free to dispose of his creation as he wills.There is a doubt about the annihilation of person is compatible with God's love.

6.Well,from my point of view,maybe the writer will write something about the annihilation of person to introduce his own study about immortality,maybe,like the relations between soul,body and survival.Is man like phoenix can reborn?

7.(1)As far as I am concerned,Peter Van Inwagen's idea is introduced in the way of question to answer.First to put out the questions,then though the answer to introduce the idea.Kevin Corcoran's idea is introduced in the way of question to simple answer,then another question,specific answer.Questions and answers are crossing.
(2)Peter Van Inwagen----the author of Dualism and Materialism Dualism and Materialism: Athens and Jerusalem--the argumentation of Peter Van Inwagen Faith and Philosophy 12(Oct.1995)---the 12th quarterly journal published in Oct. 1995 486---page 486 “The Possibility of Resurrection,”-- the article of Peter Van Inwagen Paul Edwards, ed.--the author of Immortality Immortality--a book by Paul Edwards, ed. (New York: macmillan, 1992), --- publication place,the publisher,publication time 246--page 246 Physical Person and Postmortem Survival without Temporal Gaps,”---the article of Kevin Corcoran Soul, Body, and Surbival, 210-17--line 17th, page 210 in the book Soul, Body, and Survival “Physicalism and Resurrection”--the article of Stephen T, Davis Soul, Body, and Survival, 238--page 238 in the book Soul, Body, and Survival