<p>This paper explores the epistemic and philosophical significance of perspectival frameworks across perception, art, and mathematics, advancing a defense of perspectival realism. Beginning with Renaissance perspective and the analysis of impossible objects exemplified by Escher and the Penroses, we will see that perceptual intelligibility is structured by local and global rules that mediate cognitive engagement. Extending this insight to mathematics, I argue that the applicability of formal structures in science is contingent upon conceptual frameworks that highlight empirically salient patterns, rendering abstract systems intelligible and operationally effective. Artistic practice further illustrates the mediating role of frameworks: compositional rules such as symmetry, proportion, and projective geometry generate coherent and aesthetically compelling representations, mirroring principles of intelligibility in perception and mathematical reasoning. Perspectival realism integrates these domains, maintaining that knowledge is framework-dependent while preserving objective access to phenomena. By emphasizing the structured, selective, and historically situated nature of frameworks, this approach provides a unified account of intelligibility, applicability, and epistemic engagement, with implications for philosophy of science, epistemology, and aesthetics.</p>

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Perspective and Intelligibility: Art, Perception, and Mathematics in a Perspectival Framework

  • Daniel Heredia

摘要

This paper explores the epistemic and philosophical significance of perspectival frameworks across perception, art, and mathematics, advancing a defense of perspectival realism. Beginning with Renaissance perspective and the analysis of impossible objects exemplified by Escher and the Penroses, we will see that perceptual intelligibility is structured by local and global rules that mediate cognitive engagement. Extending this insight to mathematics, I argue that the applicability of formal structures in science is contingent upon conceptual frameworks that highlight empirically salient patterns, rendering abstract systems intelligible and operationally effective. Artistic practice further illustrates the mediating role of frameworks: compositional rules such as symmetry, proportion, and projective geometry generate coherent and aesthetically compelling representations, mirroring principles of intelligibility in perception and mathematical reasoning. Perspectival realism integrates these domains, maintaining that knowledge is framework-dependent while preserving objective access to phenomena. By emphasizing the structured, selective, and historically situated nature of frameworks, this approach provides a unified account of intelligibility, applicability, and epistemic engagement, with implications for philosophy of science, epistemology, and aesthetics.