Large Language Models (LLMs) are revolutionizing several areas of Artificial Intelligence. One of the most remarkable applications is creative writing, e.g., poetry or storytelling: the generated outputs are often of astonishing quality. However, a natural question arises: can LLMs be really considered creative? In this article we firstly analyze the development of LLMs under the lens of creativity theories, investigating the key open questions and challenges. Then, we discuss a set of "easy" and "hard" problems in machine creativity, presenting them in relation to LLMs. Finally, we examine the societal impact of these technologies with a particular focus on the creative industries.

翻译：大语言模型（LLMs）正在革新人工智能的多个领域。其中最为引人注目的应用是创造性写作，如诗歌或故事创作：其生成内容的质量往往令人惊叹。然而，一个自然的问题随之产生：LLMs能否被真正视为具有创造力？本文首先从创造力理论视角分析LLMs的发展，探讨关键开放性问题与挑战；随后，讨论机器创造力中的一系列"简单"与"困难"问题，并将其与LLMs相关联；最后，重点考察这些技术对创意产业的社会影响。