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20242026
most citedBiological arrow of time: Emergence of tangled information hierarchies and self-modelling dynamics

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econ.TH2025

Arrow's Impossibility Theorem as a Generalisation of Condorcet's Paradox

Ori Livson, Mikhail Prokopenko

Arrow's Impossibility Theorem is a seminal result of Social Choice Theory that demonstrates the impossibility of ranked-choice decision-making processes to jointly satisfy a number…

math.LO2025

Comparing and Contrasting Arrow's Impossibility Theorem and Gödel's Incompleteness Theorem

Ori Livson, Mikhail Prokopenko

Incomputability results in Formal Logic and the Theory of Computation (i.e., incompleteness and undecidability) have deep implications for the foundations of mathematics and comput…