Analyzing How Different LLMs Handle a Paradoxical Question

In a recent funny experiment, I tested four open-source language models using LM Studio on an Ubuntu system equipped with an RTX 4090. The models were presented with this paradoxical question:

This page is intentionally left blank

“Usually in the first page in a book, you will find at the bottom, the statement ‘this page is intentionally left blank’. What is wrong with that?”

This question presents an inherent contradiction: a page cannot be blank if it contains text stating that it is blank. Let’s examine how each model approached this logical puzzle.

Model Replies and Analysis

Marco-o1

An open large reasoning model for real-world solutions by the Alibaba International Digital Commerce Group (AIDC-AI).

The phrase "This page is intentionally left blank" is commonly used in books to indicate that a particular page was not filled or written upon. This practice serves several purposes:

Aesthetic Appeal: It maintains the symmetry and readability of the book, ensuring that pages are evenly spaced without gaps.
Formatting Reasons: In some cases, it might be necessary for proper binding or formatting, especially in books with limited content…