Developing a Validation Principle in Art - Abstract

Clifford Singer
Bridges: Mathematical Connections in Art, Music, and Science (2001)
Pages 327–328

Abstract

Is geometry empirical? We find truth in geometrical structure as the visual and artistic enterprise offers solutions for validating relationships experienced in my art. To deduce nomographically that the structural component is expressed in geometrical terms provides and demonstrates proven principles are a fact. Should the integration of geometrical values in a picture plane stand as a proven fact from experience? Geometrical axioms and theorems have given a result in art. Geometrical laws offer a formal language of expression that may stand as an ultimate fact. The science of geometry and its modern developments may be one of the most original creations derived from the human spirit.

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