Dale Johnson worked for many years at the University of Hertfordshire, UK, where he taught and did research in the history and philosophy of mathematics, publishing papers on Bolzano, Brouwer, and the history of dimension theory. In a second career he contributed research in cybersecurity at The MITRE Corporation, publishing several papers in the field. He is now retired.
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Theories of Dimension from Ancient to Modern Times
Dale Martin Johnson
1 Introduction to Theories of Dimension.- 2 Ideas Touching on Dimension in Ancient Greek Philosophy and Mathematics.- 3 Dimension from the Middle Ages to the End of the Eighteenth Century.- 4 Bolzano’s Investigations into Geometry and Dimension.- 5 Nineteenth-Century Theories of Higher-Dimensional Spaces.- 6 Cantor and Dedekind: Discovery of a Counterintuitive Example concerning Dimension.- 7 Early Efforts to Prove Invariance of Dimension, 1878–1879.- 8 Early Development of Point-Set Theory and...
