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【简答题】
已知集合A={a 1 ，a 2 ，…， ak （k≥2）}，其中a i ∈Z（i=1，2，…，k），由A中的元素构成两个相应的集合：S={（a，b）|a∈A，b∈A，a+b∈A}，T={（a，b）|a∈A，b∈A，a﹣b∈A}．其中（a，b）是有序数对，集合S和T中的元素个数分别为m和n．若对于任意的a∈A，总有﹣a A，则称集合A具有性质P． （I）检验集合{0，1，2，3}与{﹣1，2，3}是否具有性质P并对其中具有性质P的集合，写出相应的集合S和T； （II）对任何具有性质P的集合A，证明： ； （III）判断m和n的大小关系，并证明你的结论．
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