The question of whether the universe is infinite or finite is a central topic in cosmology and astrophysics. It pertains to the spatial extent of the universe and whether it extends indefinitely or has a finite boundary. The answer to this question has profound implications for our understanding of the cosmos and its ultimate fate. Cosmological observations and measurements, including the cosmic microwave background radiation and the large-scale distribution of galaxies, suggest that the observable universe is vast and nearly isotropic. However, the question of whether the universe is truly infinite or finite beyond the observable universe remains open. Inflationary cosmology, a prominent cosmological theory, proposes that the universe underwent a rapid exponential expansion during its early moments, possibly leading to an infinite extent. Other models suggest a finite universe with a complex, multi-connected topology. Additionally, the concept of an observable universe implies that there may be regions of the universe beyond our observational reach. The question of the universe’s infinity or finiteness continues to be a subject of cosmological research and exploration, and it highlights the challenges of probing the vastness of the cosmos.