@incollection {1998274, title = {On the curious historical coincidence of algebra and double-entry bookkeeping}, booktitle = {Foundations of the formal sciences VII : bringing together philosophy and sociology of science}, series = {Studies in Logic}, volume = {32}, year = {2011}, pages = {109{\textendash}130}, publisher = {College Publications}, isbn = {9781848900493}, url = {http://www.collegepublications.co.uk/logic/?00021}, author = {Heeffer, Albrecht}, editor = {Fran{\c c}ois, Karen and L{\"o}we, Benedikt and M{\"u}ller, Thomas and Van Kerkhove, Bart} } @incollection {de2011looking, title = {Looking for busy beavers. A socio-philosophical study of a computer-assisted proof}, booktitle = {Foundations of the Formal Sciences}, year = {2011}, pages = {61{\textendash}90}, publisher = {College Publications}, abstract = {

"Young man, in mathematics you don{\textquoteright}t understand things, you just get used to them" John von Neumann

}, author = {De Mol, Liesbeth}, editor = {Fran{\c c}ois, Karen and L{\"o}we, Benedikt and M{\"u}ller, Thomas and Van Kerkhove, Bart} } @article {934535, title = {Setting-up early computer programs: D. H. {L}ehmer{\textquoteright}s ENIAC computation}, journal = {Archive for Mathematical Logic}, volume = {49}, number = {2}, year = {2010}, pages = {123{\textendash}146}, abstract = {

A complete reconstruction of Lehmer{\textquoteright}s ENIAC set-up for computing the exponents of p modulo two is given. This program served as an early test program for the ENIAC (1946). The reconstruction illustrates the difficulties of early programmers to find a way between a man operated and a machine operated computation. These difficulties concern both the content level (the algorithm) and the formal level (the logic of sequencing operations).

}, issn = {1432-0665}, url = {http://dx.doi.org/10.1007/s00153-009-0169-8}, author = {Bullynck, Maarten and De Mol, Liesbeth}, editor = {Beckmann, Arnold and Dimitracopoulos, Costas and L{\"o}we, Benedikt} } @conference {430672, title = {A week-end off: the first extensive number-theoretical computation on the ENIAC}, booktitle = {Logic and Theory of Algorithms}, year = {2008}, publisher = {Springer Verlag}, organization = {Springer Verlag}, abstract = {

The first extensive number-theoretical computation run on the ENIAC, is reconstructed. The problem, computing the exponent of 2 modulo a prime, was set up on the ENIAC during a week-end in July 1946 by the number-theorist D.H. Lehmer, with help from his wife Emma and John Mauchly. Important aspects of the ENIAC{\textquoteright}s design are presented-and the reconstruction of the implementation of the problem on the ENIAC is discussed in its salient points.

}, isbn = {978-3-540-69405-2}, doi = {10.1007/978-3-540-69407-6_19}, author = {De Mol, Liesbeth and Bullynck, Maarten}, editor = {Beckmann, Arnold and Dimitracopoulos, Costas and L{\"o}we, Benedikt} }