Final answer:
Thomas Paine's concept of 'enemyship' refers to a strategic alliance created by common interests against a common enemy, exemplified by the relationship between the American colonies and other nations opposing Great Britain.
Step-by-step explanation:
Thomas Paine uses the term 'enemyship' to describe a relationship based on a shared opposition to a common adversary, which in the context of the American colonies, was Great Britain. Paine's argument in 'The American Crisis' suggests that 'enemyship' constitutes a bond that unites different parties as allies against a larger threat.
This bond is not founded on friendship or voluntary association but is a strategic alliance driven by mutual interests. Therefore, when foreign countries that have conflicts with Great Britain align with the American colonies, it's not out of a spirit of friendly alliance but rather out of a shared interest in counteracting a common enemy.