A.I. Explanation:

Option 1: "Communication is the gel that joins individuals living at great distances and sharing different goals, into a well meaning community. Communities can always keep in touch through books and letters."

Explanation: This option incorrectly suggests that individuals can form a community through different goals and merely keeping in touch via books and letters. The text emphasizes that communication is essential for forming a community, but it does not imply that differing goals can lead to a cohesive community. The phrase 'gel that joins' is misleading as it implies a unifying factor that is not supported by the text.

Option 2: "Neither the physical proximity, nor the uniformity of goals turns individuals into a community, unless there is cogent communication and consensus among them for achievement of the shared goal."

Explanation: While this option correctly identifies that physical proximity and uniformity of goals do not create a community, it inaccurately implies that a shared goal is necessary for community formation. The text states that individuals can work towards a common end without forming a community unless there is communication. Thus, the focus on 'shared goal' is too narrow and does not align with the text's broader argument.

Option 3: "Individuals become a community, not by living under the same roof, not by sharing the same goals, but by constant communication and keeping each other in the know what they are up to."

Explanation: This option accurately reflects the main idea of the text, which states that mere physical proximity or shared goals do not constitute a community. Instead, it emphasizes that constant communication is essential for individuals to form a community. The phrase 'keeping each other in the know' aligns with the text's assertion that consensus requires communication, making this option the correct choice.