This is part of the philosophical problem of identity. Is there a non-physical part of the mind? If you duplicate a body by cloning, matter relicator, or exact

This is part of the philosophical problem of identity. Is there a non-physical part of the mind? If you duplicate a body by cloning, matter relicator, or exact uploading into a computer, do you have multiple persons or souls? (Star Trek explored several variations) Does [any part of] the mind survive death?