yes because in the sinnoh league semi-finals it was a long and hard battle but ash beat Paul with his infernape. Now ash and Paul are friends.
Episode 650
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Ash beats Paul in the episode that is titled "Battling a Thaw in Relations."
It depends on what your definition of "better" means. Paul has trained for far longer than Ash, but Paul is a snob. That is why Paul abandoned Chimchar... Because he was to "weak" for him. But Ash is definitely stronger willed, and most likely to become more powerful than Paul. But, of course, NOT a snob.
No, Ash is never naked.
There may be some hints that she loves Ash but as for Paul it is unknow but I know that Ash dose not love her It is obvious that Ash is not with Dawn (but the names would match :D y'know.. ask.. and dawn :D ya get it?... yea watever..) anyways, Pokemon doesnt really pair people up but if its like the last season (with may and that green haired dude... i think it was drew) then dawn is probably going to end up with paul
He is so cold to Dawn because he likes her. Though Dawn likes Ash and maybe Kenny. Paul probably hates Ash because he gets to travel around with Dawn. Though, she doesn't like Paul for being cruel to Ash and Pokemon.