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<h1 style="display: block; margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-stretch: inherit; font-optical-sizing: inherit; font-kerning: inherit; font-feature-settings: inherit; font-variation-settings: inherit; vertical-align: baseline; font-family: Arial, Helvetica, sans-serif; font-size: 18px; font-weight: bold; line-height: 1.2; text-align: center; color: rgb(230, 70, 38);">
<strong>The Liar paradox, the halting problem and the edge of chaos<br>
</strong></h1>
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<strong>Mikhail Prokopenko (USyd)</strong><br>
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<b>Dates: </b>Monday, 18/9/2023<br>
<b>Time: </b>5:30pm<br>
<b>Venue: </b>Madsen Building (F09), Level 3, Room 331<br>
<b>How to register: </b>Free, no registration required<br>
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<b>Abstract: </b>We will explore several fundamental relations between formal systems, algorithms, and dynamical systems, focussing on the roles of self-reference and computational undecidability. This comparative analysis will emphasise three factors: (i)
the program-data duality; (ii) the potential to access an infinite computational medium; and (iii) the ability to implement negation. Importantly, the program-data duality requires that a computational agent must be able to store and process encoded information,
as well as create self-referential meta-level simulations. Finally, within Gödel – Turing – Post framework, we will argue that undecidability leads to novelty generation, via the emergence of functional self-descriptions across major transitions: genetic,
linguistic and cultural.<br>
<br>
<br>
<b>Bio: </b>Prof. Mikhail Prokopenko leads the Centre for Complex Systems at the University of Sydney. He holds PhD in Computer Science, MA in Economics, and MSc in Applied Mathematics. Mikhail has a strong international reputation in modelling and simulation
of complex self-organising systems, with over 200 publications and h-index of 43. His cross-disciplinary research in information theory, critical phenomena and artificial intelligence has been applied to pandemic and crisis modelling, systems biology, urban
dynamics, and other diverse areas.<br>
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