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David Hilbert (1900)

This conviction of the solvability of every mathematical problem is a powerful incentive to the worker. We hear within us the perpetual call: There is a problem. Seek its solution. You can find it by pure reason, for in mathematics there is no ignorabimus [we shall not know].

Jeremy Gray, The Hilbert Challenge (2000)

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Loci: Convergence

Museum of the History of Science, Oxford

by Frank J. Swetz, reviewer

While touring Oxford, England on a rainy day this spring, I stumbled upon the Museum of the History of Science.  The two story building on Broad Street is not imposing and from the outside provides no hint as to the mathematical gems it houses.  Known as the “Old Ashmolean,” the building was constructed in 1683 as a public museum dedicated to an understanding of “nature.”  It assumed its present form in 1924 when it acquired the Lewis Evans Collection of Historic Scientific Instruments.  Evans (1853-1930) was a British businessman and avid collector of scientific instruments. While the Museum includes all of the sciences, two of its floors are devoted completely to displaying mathematical measuring instruments.  They comprise the largest and most fantastic collection I have ever viewed.  Among its treasures is the world’s most extensive collection of astrolabes. 

Figure 1. Examining displayed astrolabes

Surveying instruments, quadrants, armillary spheres, curve generating linkages and various graphic drawing instruments and devices are also found in this collection.

However, one does not have to physically travel to Oxford to benefit from this find.  Much of it is available virtually through the Museum’s website: http://www.mhs.ox.ac.uk.  In particular, an image library allows visual access to thousands of objects. For example, a search on “astrolabe” brought up 335 images.  A series of excellent, detailed online exhibits are also available for viewing and educational purposes.  Those that deal most directly with the history of mathematics are:

The Renaissance in Astronomy (11 May - 9 September 2012)           

The Geometry of War, 1500-1750

The Measures: A Flemish Image of Mathematics in the Sixteenth Century.

The Astrolabe, East and West.

Epact: Scientific Instruments of Medieval and Renaissance Europe.

The Noble Dane: Images of Tycho Brahe.

Journey to this website for an informative and rewarding experience!

Figure 2. Italian Armillary Sphere, circa 1580


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