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  1. Multistable Figures: On the Critical Potentials of Ir/Reversible Aspect-Seeing.Christoph Holzhey (ed.) - 2014 - Vienna: Turia + Kant.
    Multistable figures offer an intriguing model for arbitrating conflicting positions. Moving back and forth between the different aspects under which something can be seen, one recognizes that mutually contradictory descriptions can be equally valid and that disputes over the correct account can be resolved without dissolving differences or establishing a higher synthesis. Yet, the experience of a gestalt switch also offers a model for radical conversions and revolutions – that is, for irreversible leaps to incommensurable alternatives foiling ideals of rational (...)
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  • Self-Reference Upfront: A Study of Self-Referential Gödel Numberings.Balthasar Grabmayr & Albert Visser - 2023 - Review of Symbolic Logic 16 (2):385-424.
    In this paper we examine various requirements on the formalisation choices under which self-reference can be adequately formalised in arithmetic. In particular, we study self-referential numberings, which immediately provide a strong notion of self-reference even for expressively weak languages. The results of this paper suggest that the question whether truly self-referential reasoning can be formalised in arithmetic is more sensitive to the underlying coding apparatus than usually believed. As a case study, we show how this sensitivity affects the formal study (...)
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