What if the equations are the fire?

I'm feeling metaphysically happy, having come across a complete explanation of life, the universe and everything. I encountered it first as a quick-and-dirty outline at the atheist blog AIG busted, and mulled it for a few days until I came up with a formulation that made intuitive sense to me. Me being me, it's probably wrong, but here's how it went:

Valid equations are trivially and necessarily true.
There is a system of equations that describes every physical interaction.
Including those in our brains.
That system of equations is a timeless necessary truth.
Yada, yada.
Therefore we necessarily exist.
Hail you, necessarily existent being!

Today I looked for more on the work of Gary Drescher and found that the basic idea is called the Mathematical Universe Hypothesis, and has been elaborated by real philosophers and physicists with degrees and everything.

I think this hypothesis is what Spinoza was getting at, so that's another ground for confidence. Greg Egan probably agrees too. I'm not saying I completely understand it, but throw in some blind faith and fanatical enthusiasm, and the world is ours.