Theory of constructor theory would only allow us to predict the trajectories of microscopic objects. Even if we found such a theory, that theory still wouldn't explain all of the other phenomena that we observe at higher levels. Such a theory would be reductionism of the highest order. It's important to remember that prediction is not explanation. In fact, prediction is just a way to criticize our explanations in the way of being falsifiable.
We motivate and introduce Constructor Theory, humanity's first Theory of Everything (or so I claim). We explain what the founder of Constructor Theory, David Deutsch, calls the prevailing conception, and why it is inadequate in capturing and explaining many phenomena in nature, such as evolution by natural selection, the growth of knowledge, and various principles that we hold to be true. We briefly discuss why Constructor Theory allows for a wider range of phenomena than does the prevailing conception.
Foundational Paper on Constructor Theory (preprint) - https://arxiv.org/pdf/1210.7439.pdf
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