A particular sorting takes integer list 10,8 and incorrectly sorts the list to 6, 10,...

 The correctness of a sorting algorithm is determined by its ability to sort a list of elements into a specified order, typically non-decreasing or non-increasing order. For an algorithm to be considered correct, it must consistently produce the correct output for all possible inputs. In the case of the given algorithm, it takes the input list [10, 8] and produces the output [6, 10, 8], which is not sorted in non-decreasing order. This indicates that the algorithm does not correctly sort the list, as the output is neither sorted nor does it maintain the integrity of the original list (the number 6 was not in the original list).

Furthermore, the fact that the output contains an integer (6) that was not present in the input list suggests that the algorithm is not preserving the elements of the input list, which is a fundamental requirement for a sorting algorithm. This violation confirms that the algorithm is incorrect for sorting an arbitrary list of three integers, as it cannot be relied upon to sort correctly or maintain the original list elements.