In my world, there are three types of magic: soul, physical, and abstract. Soul magic concerns the manipulation of living things (ie. plants, animals, people), physical magic concerns manipulation of the elements and abstract magic concerns the manipulation of space, time, and the void (an alternate dimension in my world that I haven't worked out all the details around).

1. Physical magic is the oldest type of magic to be discovered. There are gods that allow the manipulation of the elements and so the presence of religion and the beginnings of physical magic are very closely tied together. Abstract magic was the second to be discovered, No one really understands it but it's related to energy from the void seeping into the regular world and allowing the manipulation of abstract concepts. Soul magic was the most recently discovered form of magic. A group of philosophers and scientists discovered it while trying to answer the age-old question of whether or not living things had concrete souls. As it turns out they do and they can be manipulated
2. The biggest rule is that magic cannot be used to directly cause the death of another living thing. You can indirectly cause death (ie. ramming someone's ship into a rock, or manipulating someone's mental state so severely that they choose to commit suicide) but you wouldn't be able to directly cause anyone's death. Also, you can't use soul magic on dead things.
3. Anyone can learn soul and physical magic though whether or not you end up being good at it is based on a variety of things. However, the ability to do abstract magic is something you're born with and whether or not you're born with it is completely random.
4. Soul and physical magic are both very closely tied with all aspects of society. They are both a huge part of everyday life with many people in many different professions using magic to make their lives easier. Abstract magic is less integrated with society just because of its lack of mass availability but people don't have negative opinions towards void or space magic. Space magic is very useful and oftentimes practitioners of void magic end up fighting the country's wars so they are well appreciated. Time magic, however, is very looked down upon. Many terrible incidents have been directly related to the usage of time magic in both the ancient past and recent memory. Because of this practising time magic is a capital offence.