AdvertisementYou can tell someone is intellectually curious if they say these phrases in casual conversation:1. If someone is truly intellectually curious, they'll consider your solution with just as much respect as they give their own. Intellectually curious people are sometimes thought to be more in touch with their head than their heart. Curious minds don't shy away from a deep discussion, even if it turns serious. As much as they love to share what they do know, they are also happy to admit what they don't know, too.