Final answer:
A fallacy of weak induction occurs when the evidence used to support an argument is too weak to firmly establish the conclusion. False dichotomy is a specific fallacy of weak induction where a limited number of options are presented as the only choices, without considering other possibilities.
Step-by-step explanation:
A fallacy of weak induction occurs when the evidence used to support an argument is too weak to firmly establish the desired conclusion. One specific fallacy of weak induction is a false dichotomy, which occurs when the arguer presents a limited number of options as the only available choices, without considering other possibilities. By employing a false dichotomy, the arguer uses a faulty form of reasoning to win the argument.
For example, let's say someone argues that you must either support cutting taxes or be in favor of big government. This is a false dichotomy because it presents only two options and assumes that these are the only available choices, disregarding the possibility of finding a middle ground or considering alternate solutions.