The heart do not JUST pumps blood!
Why considering the heart you are so realistic but not for the brain? I mean, what is "thought and feelings" for science?! Chemical reactions? So brain JUST make chemical reactions!
Embryo is a Greek word which means fetus in English. Fetal nervous system appears and start developing in the first month of human's life.
Dead is a person with a stopped heart not with a stopped brain. Brain-dead person is still a person. Maybe it is not in your's country law system, but at list, your claim is something not accepted in general.
If life stops when heart stops, then I consider that life starts at least when that heart begins to pump!
There are brain-dead person who came back.
The heart pumps blood. The heart does not generate thoughts or feelings.
An embryo has no cerebral cortex. A fetus has a cerebral cortex beginning *at the earliest* at the twentieth week, and probably a shade later.
Having a brain and having thoughts and feelings are two different things.
A brain-dead person is not a person. (Of course, someone may be *thought to be* brain-dead without actually being brain-dead. But an actually brain-dead person is not a person. He has no consciousness. He has no thoughts or feelings. He has no mentality. There is "no one home.")