The lunar terminator paradox is an optical illusion that has been discussed extensively online. To better understand this phenomenon, I developed a program to analyze it. The paradox occurs when observing the moon shortly after sunset. For instance, when the moon is on the horizon at an elevation of 0 degrees and is full, the sun is positioned directly behind the observer, illuminating the entire moon. However, as the moon rises higher in the sky, the observer's perspective changes. Even though the same portion of the moon is illuminated, the observer can see a dark slice at the bottom edge due to the angle of observation, causing the moon to appear to point upwards. This effect is most pronounced during a full moon. In contrast, a half-moon does not exhibit this paradoxical behavior. I created two plots to illustrate this phenomenon. When observing a 3/4-full moon at sunset, the expected illuminated disc is visible at the horizon, but as the moon rises, more of the dark side becomes visible, enhancing the upward pointing appearance. Additionally, I explored the effect of moving the sun's position relative to the moon. Even in the darkest configurations, a crescent can be seen, and as the sun moves, more of the moon becomes visible, consistently appearing to point upwards. This exploration also highlighted the limitations of current AI tools. While debugging and discussing the findings with AI models like Claude and Gemini, I found they struggled to grasp the concept, indicating a lack of reasoning capability. This suggests that artificial general intelligence (AGI) has not yet been achieved.
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Why this rating? · 12 signals
Signals flagged in the original
- loaded language: 'most pathological case'
- loaded language: 'most clearly weird case'
- loaded language: 'Clearly points up'
- loaded language: 'completely unable to comprehend this'
- loaded language: 'infinite circular arguments'
- loaded language: 'lack the reasoning capability necessary'
- framing: The piece uses first-person experiential and simulation-based framing to present its explanation as the resolution of the 'paradox'.
- framing: It pivots from the lunar discussion to a strongly negative assessment of named AI tools.
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Understanding the Lunar Terminator Paradox Through Programming
The lunar terminator paradox is an optical illusion that can be better understood through programming. As the moon rises after sunset, its appearance changes based on the observer's angle, leading to a perception of the moon pointing upwards. This exploration also revealed limitations in current AI tools' understanding of the phenomenon.
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Dima Kogan
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Language Analysis
Loaded-language score
45/100
wirepublicmainstream
flavoredpartisanadvocacy
Inflammatory language
14/100
Loaded Language Removed
- ✕ loaded language: 'most pathological case'
- ✕ loaded language: 'most clearly weird case'
- ✕ loaded language: 'Clearly points up'
- ✕ loaded language: 'completely unable to comprehend this'
- ✕ loaded language: 'infinite circular arguments'
- ✕ loaded language: 'lack the reasoning capability necessary'
- ✕ framing: The piece uses first-person experiential and simulation-based framing to present its explanation as the resolution of the 'paradox'.
- ✕ framing: It pivots from the lunar discussion to a strongly negative assessment of named AI tools.
- ✕ editorializing: They were both completely unable to comprehend this, and would make infinite circular arguments.
- ✕ editorializing: Clearly they read some incomplete explanations on the internet ... and lack the reasoning capability necessary to distill it into something resembling 'understanding'.
Original vs. Neutral
Original Headline
Lunar Terminator Paradox
Neutral Headline
Understanding the Lunar Terminator Paradox Through Programming