While there is no way to derive random numbers from a purely logical system, (and for that matter, maybe not if the universe's true mechanizations were to be revealed either), there is an interesting solution that I might be able to present...
Step 1) Find an object. Preferably an asteroid, as those are neutral and can't fight back.
Step 2) Buy tons of area triggers. You'll need these for the random numbers.
Step 3) Buy tons of wireless logic modules.
Step 4) Buy tons of push effect computers.
Step 5) Make Some AI ships (about as many as you'd need for your circuit's bus width, but it's totally up to you if you want to use more or less).
Step 6) Attach area triggers to AI ships, preferably a fair distance away so that the area triggers have about a 50/50 chance of passing through the object from 'Step 1'.
Step 7) Attach wireless logic modules to AI ships.
Step 8) Attach wireless logic modules to the circuit/structure where the random numbers are required.
Step 9) Attach push effect computers to the AI ships, with the computers facing sideways.
Step 9) Make AI ships target the object that was found in 'Step 1'.
Step 10) Enjoy your well-made pseudo-pseudo-random number generator.
This works well based on the principle that you changed the initial conditions on the ships so that they don't have fixed, predictable orbits. If you want to make it work better, then just get in the way of one of them
. If you want to make it work even better, put up an array of area triggers a bit out from the side of a ship that you control, and pilot it near the object in question with each area trigger connected to a different controller, so that the randomness is literally coming out of your keyboard and mouse. To take it even further, set up a hashing algorithm that mixes the inputs from the area triggers so that it has a random feel and appearance to it.
By the way, what are you going to use this for, specifically? I'm curious as to how the would accomplish some task in the game...
Yours truly, that guy who's planning on making a computer in starmade with a clock speed of more than 2Hz.