# Mathematical Calculations and Network Security
In the final sections of the whitepaper, Satoshi presents mathematical calculations that demonstrate **the difficulty of attacking the Bitcoin network**. The security of the network is predicated on the **assumption that a majority of the computational power is controlled by honest nodes**. This mathematical foundation reinforces the robustness of the system, as any attempt to compromise the network would require an immense investment in resources.
The calculations illustrate that as long as the majority of the network is maintained by honest participants, the **likelihood of a successful attack diminishes significantly**. This mathematical assurance is a cornerstone of Bitcoin's security model, providing confidence to users and investors alike.
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