Would Empiricism count?
You choose blue and (say) green, draw Genetics, splay blue up (or have it splayed up, say, due to earlier Publications). If you have something like Writing-Mathematics-Experimentation-Atomic Theory-Publications (not unreasonable in a tech rush) there, you get 14 lightbulbs from that stack alone, plus three for Empiricism by itself. Add (say) Classification on top of the green stack - and you have your 20 lightbulbs for the win.
In solitaire, assuming perfect luck:
Start domestication/writing, meld domestication;
1: (dom) meld writing, draw Code of Laws; (wri) draw Calendar
2: (wri) draw Mathematics; meld Mathematics
3: (math) draw and meld Education; draw Feudalism
4: (math) draw and meld Experimentation; (expy) draw and meld Astronomy
5: (astro) draw and meld Classification and Atomic Theory; (AT) draw and meld publications, splay blue right
6: draw Bicycle, (Pub) put math on top, splay blue up
7: (math) draw and meld Empy; (Empy) choose green and blue, draw and meld Genetics, win.