Fun and dating
If you were thinking about a future with this person, then you would use other terms that would indicate that you were serious about this relationship and thinking about a long-term future. Dating is dating, in that you can date several people without it being a serious relationship. After a while, you want to go from just dating to a more steady and monogamous relationship without being engaged to be married.In that case, you would probably say that you have a boyfriend (or girlfriend), or you're in a 'relationship' or have a partner, etc. Failure to comply would cause one to be sentenced to Kim Jong Un's troupe of travelling sex consorts. That's why people ask "Are you seeing anyone right now? " If you are not married of course you will be dating someone. Sometimes sex too depending on the people involved.
If you say you are dating or seeing someone, you are inferring that you are going out with someone with at least some regularity.In that case, you would probably say that you have a boyfriend (or girlfriend), or you're in a 'relationship' or have a partner, etc.I've heard both terms before but didn't think much about them until seeing this post.I asked some of my expat friends, most of whom are Canadian, about this.In other words, seeing/dating someone implies that you haven't decided to make this an exclusive relationship, at least not yet. Seeing someone is a steady relationship that comes after you have dated.
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They pretty well agreed with each other on the answer.