Satoshi’s solution

Referring back to Satoshi’s initial public announcement of Bitcoin, the following three statements stand out:

It’s completely decentralized, with no central server or trusted parties, because everything is based on crypto proof instead of trust.

Then strong encryption became available to the masses, and trust was no longer required.

With e-currency based on cryptographic proof, without the need to trust a third party middleman, money can be secure and transactions effortless.

In each of these statements, Satoshi expresses his belief that cryptography can replace trust.

In the Bitcoin Forum, he wrote:

At some point I became convinced there was a way to do this without any trust required at all and couldn’t resist to keep thinking about it.

Again, Satoshi asserts that at a certain point he became confident there is a solution that does not involve any trust at all.

However, is this actually feasible? Can the need for trust in a money system be eliminated entirely?