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Titchmarsh, E. C.

Perhaps the most surprising thing about mathematics is that it is so surprising. The rules which we make up at the beginning seem ordinary and inevitable, but it is impossible to foresee their consequences. These have only been found out by long study, extending over many centuries. Much of our knowledge is due to a comparatively few great mathematicians such as Newton, Euler, Gauss, or Riemann; few careers can have been more satisfying than theirs. They have contributed something to human thought even more lasting than great literature, since it is independent of language.

In N. Rose, Mathematical Maxims and Minims, Raleigh NC: Rome Press, 1988.

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Loci: Convergence

Mathematical Treasures

by Frank J. Swetz and Victor J. Katz

English tally sticks

Box of tally sticks

Notched pieces of wood or bone were used by many ancient peoples to record numbers. The most common type of these “tally sticks” was made of wood. Tally sticks served as records or receipts for financial transactions such as the payment of taxes, debts and fines. From the 12th century onward tally sticks were officially employed by the Exchequer of England to collect the King’s taxes. Local sheriffs were given the task of actually collecting the taxes. The depth and series of notches on these sticks represented the value of the transaction. In recording a debt, wooden sticks were often split horizontally into two parts: the lender receiving one part, the stock; and the debtor, the other part, the foil. This box contains sticks that date from the year 1296 and were found in the Chapel of the Pyx, Westminster Abbey in 1808. England abolished the use of tally sticks in  1826.The accumulation of tally sticks in the Office of the Exchequer were burned in 1834 resulting in a fire that destroyed the Parliament Building.

Open box

The box opened.

Three tally sticks

Close-up of three smaller sticks from the box showing notches.

Large tally stick

Close-up of large stick revealing notches.

Largestick with name engraved

Second view of larger stick showing the name of the of King’s agent, William de Costello, Sheriff of London in 1296.


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