Abstract
When formalising diagrammatic systems, it is quite common to situate diagrams in the real plane, \({\mathbb R}^{\rm 2}\). However this is not necessarily sound unless the link between formal and physical diagrams is examined. We explore some issues relating to this, and potential mistakes that can arise. This demonstrates that the effects of drawing resolution and the limits of perception can change the meaning of a diagram in surprising ways. These effects should therefore be taken into account when giving formalisations based on \({\mathbb R}^{\rm 2}\).
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References
Winterstein, D.: On Differences Between the Real and Physical Plane: Additional Proofs. Informatics Report Series, Edinburgh University (2003), available online at http://homepages.inf.ed.ac.uk/s9902178/physicalDiagrams.pdf
Winterstein, D., Bundy, A., Gurr, C., Jamnik, :̇ Using Animation in Diagrammatic Theorem Proving. In: Hegarty, M., Meyer, B., Narayanan, N.H. (eds.) Diagrams 2002. LNCS (LNAI), vol. 2317, p. 46. Springer, Heidelberg (2002)
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Winterstein, D., Bundy, A., Jamnik, M. (2004). On Differences between the Real and Physical Plane. In: Blackwell, A.F., Marriott, K., Shimojima, A. (eds) Diagrammatic Representation and Inference. Diagrams 2004. Lecture Notes in Computer Science(), vol 2980. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25931-2_6
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DOI: https://doi.org/10.1007/978-3-540-25931-2_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21268-3
Online ISBN: 978-3-540-25931-2
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