ABSTRACT

The Paradoxien are the work of Bernard Bolzano's old age. Indeed, the modern mathematical reader who takes the text as it stands will be occasionally disappointed, and may misjudge Bolzano if he has not also read his earlier work. The competence of Prihonsky as an editor of mathematical matter and the trustworthiness of the received version of the Paradoxien have recently been placed in doubt by M. Jasek, the discoverer of the counter-example. The antecedents of the Paradoxien go back at least as far as 9 June 1842, when Bolzano read 'that part of his paper on the march of ideas to be followed in a truly scientific exposition of mathematics which deals with the finite and infinite'. Unlike the manuscript of the Funktionenlehre, that of the Paradoxien was never made ready for the press by the author himself. That task fell to his devoted but none too mathematical friend Prihonsky.