![]() QUESTION: Can we come up with a Doodle-God-esque theory of matter that starts with fewer starting elements? Can we come up with one that uses only one starting element to generate all other entities, but still uses roughly intuitive/guessable rules of combination? How would you generate Fire, Water, Earth, and Air from your proposed “first element” and what would the intermediate steps be? A(BC) is not necessarily the same as (AB)C. Note that parentheses must be used to disambiguate these combinations, because “combination” is a non-associative operation, i.e. Here are some of the more complex advanced entities that can be created: More recently, the video game “Doodle God” has turned this theory into a fun way to waste time: by repeatedly combining these $4$ elements, the player can construct novel entities. The Greek philosopher Empedocles famously postulated that the four elements comprising all matter are Fire ( F), Water ( W), Earth ( E), and Air ( A).
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