TY - JOUR
AU - San Mauro, Luca
AU - Venturi, Giorgio
PY - 2021/07/20
Y2 - 2021/10/21
TI - What is to believe in a mathematical assertion?
JF - Rivista Italiana di Filosofia del Linguaggio
JA - RIFL
VL - 15
IS - 1
SE - VARIA
DO - 10.4396/2021060V4
UR - http://rifl.unical.it/index.php/rifl/article/view/650
SP -
AB - In this brief article we present the following paradox: one cannot assume that mathematicians are trustworthy when they express their mathematical (dis)beliefs, while also maintaining four basic theses about natural and mathematical language. We carefully present the very natural hypotheses on which this paradox is based and then we show how to deduce the paradox from these assumptions. We end by presenting the possible ways in which one can reject the paradox, together with their conceptual implications.
ER -