This is a highly experimental and completely-not-at-all-validated algorithm for justifying the existence of your favorite socks. It involves a series of rigorous mathematical calculations and a dash of pure speculation.
Step 1: Gather all socks in a single, undifferentiated pile.
Step 2: Sort the socks by color, pattern, and fiber content. Ignore any socks with visible holes.
Step 3: Apply a series of complex, interlocking matrices to the sorted socks, taking into account the following variables:
Step 4: Integrate the results of the matrices to produce a single, unified justification for the existence of the socks.
And that's it! Or is it? Maybe step 5 exists?