False Dilemma or False Dichotomy is a logical fallacy. This fallacy has a few other names ~ black-and-white fallacy, either-or fallacy and bifurcation fallacy. This line of reasoning fails by limiting the options to two when there are indeed more options available.
It is not at all a fallacy when there are only two available options. As for example, it is not a fallacy to say ~ “If you voted for a candidate, then either you did it for Donald Trump or for Hillary Clinton” ~ in a two party presidential election in the United States of America. But it is a false dilemma fallacy to say, “You have to vote either for Narendra Modi or for Rahul Gandhi” ~ in our parliamentary democracy.
In a parliamentary democracy, every voter gets the opportunity during the time of general election to elect a Member of Parliament to represent her or him among the candidates who are contesting the seat in her or his Lok Sabha area. Then the party which gets the majority in the Lok Sabha selects a Prime Minister to “be appointed by the President” (Article 75). Therefore, to tag Manmohan Singh as the “Accidental Prime Minister” is an example of false dilemma or false dichotomy fallacy. The voters of our country need to be aware about the difference between the parliamentary form democracy and presidential form of democracy to understand that it is a fallacious argument to project a Prime Minister of India as accidental.
Sujit De, Kolkata