Time Travel Is Sometimes Very Annoying... IV

See the previous post here.

In the Fritz Leiber story, if the man trying to prevent his own future murder keeps revisiting the events immediately preceding the murder, then surely he will run into and interfere with his younger and older selves?

Wright recommends David Gerrold's The Man Who Folded Himself. I do not:

The Man Who Folded Himself by David Gerrold expounds a successive timelines scenario but immediately contradicts it in practice. Gerrold’s scenario: Moving either backwards or forwards in time takes a time traveler into a second timeline identical with the first except for any changes made by the time traveler, the first such change being his arrival. He leaves timeline 1 forever. If he continues to travel, then timeline 3 incorporates his arrival from timeline 2 and duplicates his arrival in timeline 2 unless this duplication is prevented by the time traveler after arriving in timeline 3, e.g., if he had arrived in timeline 2 during World War II but, then, in timeline 3, prevented World War II, then this would also prevent his arrival in the 1939-1945 period in timeline 3.

After expounding this scenario, Gerrold then describes the following transaction: the time traveler travels a short distance into the future, confers with his future self, then returns to the present to make use of his knowledge from the future. This could happen in a single timeline but, in Gerrold’s scenario, the transaction should be as follows:

the time traveller disappears forever from timeline 1;
no future self greets him in timeline 2;
he returns to the present in timeline 3;
later in timeline 3, he greets that timeline’s duplicate of his past self who had originally arrived in timeline 2;
that duplicate returns to the present in timeline 4 and there meets the duplicate of the self who had returned to the present in timeline 3.

Thus, by pulling this stunt, the time traveler should have unintentionally duplicated himself, although Gerrold does not realize this.
-copied from here.