Jokes are jokes, nothing is insensitive.
Debate Rounds (3)
In 1978, FCC v. Pacifica Foundation decided that the government had the right to enforce censorship on public airwaves . This was an OK decision, because it was on government funded airwaves. When it comes to private airwaves and public (as in outdoors) conversations, the government has no right to enforce censorship. If you find something offensive, you can either change the station, leave the conversation, or ask them to stop, but you do not have the right to enforce you standards of proper conversational etiquette upon other people.
In 2012, comedian Daniel Tosh was heckled at a performance after he made a rape joke . He responded by joking about the heckler being gang-raped. This was met with outrage by some, but Tosh's fellow comedians came to his defense , saying that he had every right to make the joke. It wasn't as if Tosh singled someone out at random, he had been heckled. Even if someone views his humor as off-color, he had every right to say what he said.
A quote that is good for both of my contentions today is by Lynn Namka, Ed. D. "Jokes are defined as being funny both to the teller and the audience. Otherwise they are just lame attempts to make the insensitive person feel good and puffed up while you feel bad." 
Insensitive jokes destroy relationships. Everyone wants respects in a relationship, so if you are badmouthing the other person, they don't want it to happen and they can just end their relationship with you. The jokes are meant to bring other people down and at the same time, they burn down your relationships.
Jokes can be insensitive and just a cover-up for when you insult someone and don't want to look bad. That is the worst thing that can happen. If I were to insult you right now, you would be offended. But, if you were to insult me right now, you would probably not think about whether or not it is right. People tend to think that if someone insults you, then you have a right to get upset, but if you insult others, then it's fine. This is because humans are naturally self centered beings  and we think of ourselves first. But, everyone is equal and so everyone deserves a right to feel good about themselves and not be insulted.
Jokes are meant to be funny, not offensive, because, otherwise, it's not a good joke.
Reasonable_Theist forfeited this round.
1) Insensitive jokes destroy relationships.
2) Insensitive jokes are just a cover-up for you when you insult someone.
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