I must admit that I was originally taken back that anyone would need to ask this question. However, I suppose one of the signs of the times is that people just do not know many of the principles of right and wrong any more. I will give some thoughts on the subject.
You are certainly correct that living in a nudist camp is absolutely wrong. But in order to stay close to the biblical terms, instead of nudity, I will use the Bible word nakedness. It is true that Adam and Eve went without clothes when they were created. However, they were at this time in a state of innocence. Though they were intelligent creatures, they had no more sense of right and wrong than a baby does today. However, as soon as sin entered the world, they were ashamed of their nakedness and sought to cover themselves. From that time until now, God has treated nakedness outside of marriage as a shameful thing.
Several actions concerning nakedness (outside marriage where the bed is undefiled - Hebrews 13:4) are condemned in the Bible:
- It is a shame and wrong to uncover your nakedness to others. The priests were warned to wear undergarments so that their nakedness would not be discovered when they went up the steps to the altar in their robes. Their undergarments (linen breeches) were to cover from their loins (waist) to their thighs (Exodus 28:42). When the children of Israel made and worshipped the golden calf, Aaron "made them naked unto their shame" (Exodus 32:25). Isaiah 47:3 speaks of the shame of having your nakedness uncovered.
It is a sin to uncover the nakedness of another. This is seen as leading to other sins (see Leviticus 18:6-18).
It is wrong to look on the nakedness of others. Ham's son was cursed because Ham saw the nakedness of his father and went and talked about it (Genesis 9:22-23). Habakkuk 2:15 speaks of the wickedness of those who get someone drunk in order to "look on their nakedness."
One important point I need to make concerns the biblical definition of nakedness. We sometimes get the idea that nakedness refers only to having no clothing at all. However, this is neither true in the Bible nor in the English dictionary. One of the definitions for "naked" in my English dictionary is "without conventional or usual clothing." Many people do not know that the Bible often calls improper covering of the body nakedness. Most often it refers to the wearing of undergarments in public. This explains the nakedness of Saul (1 Samuel 19:24), of David (2 Samuel 6:14, 20; 1 Chronicles 15:27), of Isaiah (Isaiah 20:2-4), and of Peter (John 21:7). It is interesting that Peter did not want Jesus to see him naked.
We understand this definition in practice as well. If a person had no clothing except for a 6-inch square piece of cloth taped to the middle of their back, we would still consider them to be naked. The Bible teaches that improperly covered bodies are still naked. This is interesting in an age when many outer garments do not cover as much as undergarments did a short time ago.
We do not and cannot have the innocence of children. Therefore, we are not to run around in our nakedness. To do so is shameful and to look on the nakedness of others is sinful. Certainly, in working with young children and in working with the sick and elderly, there are times when caretakers will see their nakedness and there is nothing wicked in this (though proper respect should be given and the eyes should be averted when possible). God also makes an exception for a husband and wife. In fact, this is part of the significance of them being made one flesh. However, to purposely uncover our bodies for others to see or to gaze upon the nakedness of others to satisfy our own prurient interest are both sins in the Bible. This rules out any sort of nudist camp and many other things that are practiced today.