@incollection {D:surv-ial, title = {A Survey of Inconsistency-Adaptive Logics}, booktitle = {Frontiers of Paraconsistent Logic}, year = {2000}, pages = {49{\textendash}73}, publisher = {Research Studies Press}, address = {Baldock, UK}, abstract = {

This paper offers a systematic review of some central philosophical and technical results on adaptive logics. Quite a few of the results are still in print or forthcoming.

}, author = {Batens, Diderik}, editor = {Batens, Diderik and Mortensen, Chris and Priest, Graham and Van Bendegem, Jean Paul} } @article {van1998schoonheid, title = {Schoonheid in de wiskunde: Birkhoff Revisited}, journal = {Tijdschrift voor Filosofie}, volume = {60}, year = {1998}, pages = {106{\textendash}130}, abstract = {

Everyone is familiar with the measure of beauty that has been proposed by Birkhoff, the famous formula M = O/C. Although I show that the formula in its original form cannot be maintained, I present a reinterpretation that adapts the formula for measuring the beauty of mathematical proofs. However, this type of measure is not the only aesthetic element in mathematics. There exists a {\textquoteright}romantic{\textquoteright} side as well, to use the term introduced by Fran{\c c}ois Le Lionnais. Thus, a more complex proposal of mathematical beauty is presented. Finally and as a consequence, I argue against the dichotomy that associates science, including mathematics, with the beauty of simplicity and that associates the arts with the beauty of complexity. As an example, the work of Oulipo, Raymond Queneau in particular, is briefly presented.

}, author = {Van Bendegem, Jean Paul} } @article {van1996strange, title = {The strange case of the missing body of mathematics}, journal = {Semiotica}, volume = {112}, number = {3-4}, year = {1996}, pages = {403{\textendash}413}, abstract = {

La notion d{\textquoteright}infini est analys{\'e}e en comparant les math{\'e}matiques et la th{\'e}ologie car les math{\'e}maticiens ont pendant longtemps per{\c c}u une relation entre la notion infinie math{\'e}matique et la notion d{\textquoteright}infinit{\'e} de Dieu

}, author = {Van Bendegem, Jean Paul} } @article {257814, title = {Strict finitism as a viable alternative in the foundations of mathematics}, journal = {Logique et Analyse}, volume = {37}, number = {145}, year = {1996}, pages = {23{\textendash}40}, issn = {0024-5836}, author = {Van Bendegem, Jean Paul} }