Are there any situations were forgiveness would be immoral?

For months I have had an exhaustive debate with various colleagues on the ethics of testing for correlations between race and IQ. I have arrived at the conclusion that while current methodological quagmires surrounding the testing render the results of such a study untrustworthy at best and potentially racist at worst, I still think that in the interests of free inquiry such tests proceed. However, the question remains, can a study on intrinsic group differences which is fraught with methodological uncertainty and whose results have relatively narrow applicability have any ethical basis? Are there other considerations for deciding whether such a study should or shouldn't be conducted?

Why do people praise virginity as a value? Sex is a wonderful part of the human experience, why is it sacralized so? Isn't it just as silly to say "I'm saving myself for marriage" as it is to say "I'm only eating pork chops for the first time on my wedding reception" or setting some other normal human event to happen on a specified day? Shouldn't we want to experience the best things in life as soon as possible (of course we shouldn't experience sex when we're ten, but you get my meaning)? I'm not going for sexual promiscuity but why is it so important to say "you were my first" or for a person to think they were the other person's first?

Suppose I take a taxi with a friend. She gets out when the fare is $3 and I get out when the fare is at $6. How should we distribute the total cost fairly? One idea is that I should pay double what my friend pays. $6 = X + 2X where X is the amount paid by my friend. So I would pay $4. But another idea is that we should share the fare up to her exit, then I should pay alone after. So X = $3/2 where X is the amount paid by my friend.

Recently the headlines have reported some clerks of the court refusing to issue marriage licenses to same-sex couples in states where same-sex marriage has been recently legalized. If such a person has strong beliefs about the immorality of gay marriage, are they acting ethically if they refuse to issue these licenses?

Putting aside the legal aspects and ramifications of illegally downloading music - is doing so morally wrong? Put another way, do we do something morally wrong when we download or otherwise take music that we did not pay for? If we acknowledge a private right to property, and that taking someone's property is stealing, then, can we say we steal (in the same sense, which is to say with the same moral implications) when we take the recognized intellectual property of another, specifically some artist's or artists' music?

Suppose a woman hates to fold laundry and is some sort of embryological neuroscientist. The woman conceives a child and takes a potion she has developed at an early stage before the embryo is conscious and when abortion is currently permissible such that when the child is born, the child has no desires other to fold laundry and put it away. The child is a sort of willing laundry slave. Let us suppose that the child is incapable of having any other desires than to do laundry and is incapable of being happy doing anything else. In fact, the child is completely happy in this state of laundry slavery. I have the intuition that the embryo is harmed at the moment the potion is taken even though the child who is born is incapable of objecting. If it is morally wrong to deny the embryo of its future freedom at the point when the potion is taken, why is it okay to deny the embryo of its future life at that same point through an abortion? The existence of future person who is harmed doesn't seem to matter in...

What's so bad about Holocaust denial?

This is a difficult question to ask. But does the fact that Hitler had what could be described as noble intentions - he wanted to make the world what he thought would be a better place - in some way mitigate the moral repugnance of his actions?

What do derivation systems in a formal logical language tell us about logic? Or about the propositions in the proof? Are their purpose only to show us that a particular proof or argument can be demonstrated using that particular language? IN other words, why do we have derivations in formal logic ... what is their grand purpose?