Here is something to think about. Some definitions of "life" include reproduction in them. So, by some definitions, people who are sterile are not alive. What are your thoughts on this?
That is what we call a fallacy.
The definition of life is an abstract meaning for the existence of biological creatures. The definition of alive is a medical term for "having life."
The concept of life is human made just like time. There is only, on a physical level, existance. If you exist with the presence of natural energy within your brain, you are concious and therefore "alive." Otherwise, you do not exist or are inanimate. This could be argued with the emergence of artificial intelligence, but there is no natural energy present, leaving robots medically defined as inamimate beings despite the presence of concious information processing.
People who are infertile aren't what we call dead. Just unable to reproduce. All men and women in their senior years eventually become infertile, it doesn't mean they're medically dead because someone's definition of life as a more broader term has a prerequistion of fertility.