It is easy to think of possible tensions between one’s faith and academic reality, but I wish to address here a positive relation, namely, the fact that the academy is itself indebted to religious faith. In particular, I want to point to the impact of Jewish and Christian traditions on a phase of thought that began at the end of the nineteenth century. A significant theme of this thinking was t...

In exploring the question of how humans reason in ambiguous situations or in the absence of complete information, we stumbled onto a body of knowledge that addresses issues beyond the original scope of our effort. We have begun to understand the importance that philosophy, in particular the work of C. S. Peirce, plays in developing models of human cognition and of information theory in general....

IN “The Aims and Tasks of General Semantics: Implications of the Time-Binding Theory,” S. I. Hayakawa (1906–1992) distinguishes between three orientations—prescientific, antiscientific, and scientific—and what implication each orientation holds for the prospect of human agreement (1951 & 2001). Similar themes that Hayakawa’s article addresses can be found in an essay written more than six decad...

Consider the problem which set V of propositional variables suffices for StabV `i A whenever `c A, where StabV := {¬¬P → P | P ∈ V }, and `c and `i denote derivability in classical and intuitionistic implicational logic, respectively. We give a direct proof that stability for the final propositional variable of the (implicational) formula A is sufficient; as a corollary one obtains Glivenko’s t...

C’est au problème de distribution, désignation et discrétisation la séquence d’inférence abductive ainsi qu’à ses conséquences sur nos systèmes connaissance que je consacre cet article. Charles S. Peirce a fait l’abduction dynamique inférentielle unique créativité. Par elle seule advient toute idée nouvelle. Son importance dans l’épistémologie peircienne est donc considérable, mais compréhensio...