<human>: Can you condense the text into three sentences or less?

Well, some background first : I am 24 years old (F) and I don't have any experience with dating or relationships. I've finished school this past year and started devoting more time to meeting new people and trying to be more sociable. I met someone (30/M), and found that we have a lot in common, we have similar interests and hobbies.. I liked his confidence and his sense of humor and we just "clicked". Around the time we met, I had to move temporarily but we kept in touch, mostly through texting (he never calls and because of that I just feel awkward calling him). So here is where things get confusing :

I know that we are just getting to know each other, and that at this point there is no commitment. So, I know that it's okay if we see other people at this stage, and it doesn't bother me if he does. He recently and suddenly took a trip to a foreign country, and I had a hunch that he was going there to meet someone. He sent me pictures of his dinner and there was another plate of food on the other side of the table. I asked him if he was eating alone and he said yes. Since he took this trip (1 week ago) he would only text me early in the morning, and wouldn't reply to my texts during the day. I asked him if he met someone there and he denied, I suggested that he should meet someone to show him around town and he said that he doesn't want to.  

It doesn't bother me that he's there to meet someone or that he's seeing other people. What bothers me is that he is lying about it, I feel like he's patronizing me by lying when its so obvious (he's not going to be alone in another country for a week). Am I wrong in expecting brutal honesty from him? Is seeing other people at the beginning of the relationship some unspoken rule that we shouldn't be talking about or admitting to? and should I just give up on him?
<bot>: New to dating, Met someone who is now seeing other people and lying about it. The lying part bothers me. is this normal?