Final answer:
The statement is true: in a peer-to-peer network, computers share resources without a centralized authority. This network model emphasizes equal partnership among devices, reflecting the personal nature of computing today.
Step-by-step explanation:
The statement that in a peer-to-peer network, all of the computers are set up to share resources with every device on the network, but none of them provide centralized authority is True. A peer-to-peer, or P2P, network is designed to distribute tasks, workloads, and resources across all the devices in the network, without necessitating a central server. Each computer on a P2P network is considered equal, allowing for direct sharing and communications. This network model aligns with the evolution of personal computing, where every user has a direct, individual relationship with their devices, capable of both consuming and providing resources.