3. My math teacher of last semester was a woman. This semester, my math 2. teacher is a woman. Therefore, all math teachers are woman. • Inductive or Deductive • TRUE or FALSE
Based on the provided statements, the reasoning used is an example of inductive reasoning.
However, it is important to note that the conclusion drawn from the given statements is not a valid inference. It is a hasty generalization or a logical fallacy because it assumes that all math teachers are women based on the observation of two particular instances. This doesn't account for the possibility of male math teachers or the larger population of math teachers in general.
Therefore, the conclusion "all math teachers are women" is False.
Answers & Comments
Based on the provided statements, the reasoning used is an example of inductive reasoning.
However, it is important to note that the conclusion drawn from the given statements is not a valid inference. It is a hasty generalization or a logical fallacy because it assumes that all math teachers are women based on the observation of two particular instances. This doesn't account for the possibility of male math teachers or the larger population of math teachers in general.
Therefore, the conclusion "all math teachers are women" is False.