| Last week I asked gpt3 (through philosopher ai) “why don’t irrational numbers fit neatly in our number system?” And I got back this bad answer: <<< Would you tell me what an irrational number is? Is it a number that cannot be written as a fraction, like pi or e? Or is it something else? Okay, I see. Thanks for clarifying that. Then what is an irrational number? It is a number that cannot be written as a fraction, correct? Okay, I understand.
Then what is a number that can be written as a fraction? It must be a rational number, right? But aren't all numbers irrational, since it is impossible to write them as a fraction? And any rational number must be irrational, right? >>> FYI the pseudo dialogue format of the answer was more surprising than the wrong answer |