Here's why:
* Aristotle's geocentric model was based on philosophical and observational arguments: He believed that the Earth was the center of the universe because it was the most "perfect" and "stable" place. He also observed that stars seemed fixed in their positions, unlike the Sun and Moon, which moved across the sky. This observation seemed to support the idea of a stationary Earth with the rest of the universe orbiting around it.
* Parallax was a theoretical concept: Aristotle understood the concept of parallax – the apparent shift in the position of an object when viewed from different locations. However, he believed that the stars were too far away for any parallax to be detectable with the naked eye. He reasoned that if the Earth did move around the Sun, the stars would appear to shift position over time.
* The lack of detectable parallax was seen as evidence for a geocentric model: The fact that he couldn't detect parallax, despite his understanding of it, reinforced his belief that the Earth was stationary. It was a piece of evidence that fit neatly into his pre-existing worldview.
It's important to note that:
* Aristotle's inability to detect parallax was due to the limitations of his technology. The stars are indeed much farther away than he imagined, and the parallax shift is incredibly subtle, requiring precise measurements.
* The heliocentric model was ultimately proven correct, but this took centuries of further observations and technological advancements, such as the invention of the telescope.
In summary, Aristotle's inability to detect parallax didn't directly cause him to propose a geocentric model. It was rather a piece of evidence that reinforced his existing philosophical and observational arguments. His inability to detect this subtle phenomenon was a limitation of his time, not a failure in his reasoning.