The cosmological principle suggests that the universe may be infinite if it is flat and unbounded, but it can also accommodate a finite universe with a finite amount of matter if it has the geometry of a 3-sphere. Discussions indicate that the concept of a 3-torus does not comply with the cosmological principle unless it is a flat version. The ratio of probabilities discussed is deemed unmeasurable and undefined, particularly when involving infinities. Ultimately, the question of odds remains unanswerable due to the complexities of infinity in this context. The thread concludes with a clear stance on the limitations of the cosmological principle regarding spatial geometries.