The incomputable, the non-constructive and the undecidable in mathematical economics -- Advanced computational complexity theory from an elementary standpoint -- Economic dynamics and computation : recursion theoretic foundations for the Icarus tradition -- Let's take the con out of mathematical economics -- Effectivity and constructivity in economic theory -- Algorithmic foundations of computable general equilibrium theory -- Uncomputability and undecidability in economic theory -- The unreasonable ineffectivity of mathematics in economics -- A constructive interpretation of Sraffa's mathematical economics -- The computable alternative in the mathematization of economics -- Computable rationality -- Boundedly rational choice and satisficing decisions -- Simon's Epicurean adventures : a prolegomena de-mystifying induction, falsification, and other popperian extravaganzas -- Re-reading Jevons's principles of science : induction redux 1 -- Impossibility of effectively computable inductive policies in a complex dynamic economy -- Epilogue : a research program for the algorithmic social sciences.