"Objective Paradigm" could be abbreviated as "OP"; the word "team" could be left off. Our parent company has a more no-nonsense plain-text logo, so we're fine with ours being more relaxed and less stuffy.
Here are words we brainstormed that represent what we do:
Search, tech, behind the scenes, words, research, strategize, contrive, systems, systemically, skill, devise, 'something related to puzzles, i have some sort of way of thinking of it as trying to find the right puzzle pieces'. also solutions, success, exploration, partnerships, curiosity, persistence, creativity, 'something like "outside the box"', searching, libraries, strings, networks, webs