The pathway circles this green retreat. In the center area are the excavated gymnasium and other former structure that made up the philosopher's school. A meeting place in a grove of trees, it was named "the Lyceum" after its patron Apollo Lyceus ("Apollo in the form of a wolf") It was actually in existence before Aristotle founded the Peripatetic school there in 334/335 BCA and it continued long after Aristotle fled from Athens in 323 BC . It was eventually sacked by the Roman general Sulla in 86 BCE.
The remains of the Lyceum were discovered back in 1996. I was aware of the location somewhere 'behind the National Gardens' and often had wondered if they were actually within the gardens. So now that mystery is solved. And today you can find it easily (behind the Byzantine museum) and spend a pleasant quiet time meditating or strolling.
I've visited all the places where Athens' famous philosophers frequented. In the Agora you can find areas where Socrates was known to hang out and not far away from the Agora is the cave that is said to be "Socrates Prison". You can also take a bus to Plato's Academy, another interesting quiet place where you can wander and contemplate life.
You can read about my walks with the philosophers here in an article that was published in EuropeUpClose
And next time you're in Athens make sure you take time to visit them.