We discuss the concept of a cardinal number and its history, focussing on Cantor's work and its reception. J'ay fait icy peu pres comme Euclide, qui ne pouvant pas bien >faire< entendre absolument ce que c'est que raison prise dans le sens des Geometres, definit bien ce que c'est que memes raisons. (Leibniz) 1.

: This paper investigates the way in which Rudolf Carnap drew on Gestalt psychological notions when defining the basic elements of his constitutional system. I argue that while Carnap's conceptualization of basic experience was compatible with ideas articulated by members of the Berlin/Frankfurt school of Gestalt psychology, his formal analysis of the relationship between two basic experiences ("recollection of similarity") was not. This is consistent, given that Carnap's aim was to provide a unified reconstruction of scientific knowledge, as opposed to (...) the mental processes by which we gain knowledge about the world. It is this last point that put him in marked contrast to some of the older epistemological literature, which he cited when pointing to the complex character of basic experience. While this literature had the explicit goal of overcoming metaphysical presuppositions by means of an analysis of consciousness, Carnap viewed these attempts as still carrying metaphysical baggage. By choosing the autopsychological basis, he expressed his intellectual depth to their antimetaphysical impetus. By insisting on the metaphysical neutrality of his system, he emphasized that he was carrying out a project in which they had not succeeded. (shrink)

In a late notation from 1932, Husserl emphasizes the fact that a broad concept of “apperception” should also include, alongside his usual examples, the apprehension of objects as bearers of an individual or inter-subjective past, specifically “indicated” with them; thus, he distinguishes between apperceptions “appresenting” a simultaneous content (co-presentations), anticipatory apperceptions pointing to future incidents, and retrospective apperceptions referring to “ad-memorized” ( hinzuerinnert , ad - memoriert ) features and events. The latter sort of apperceptions are involved not only in (...) our apprehension of historical traces and relics, but also in that of causal relations, familiar objects, and cultural objects in general. Following several later notations of Husserl concerning the topic of “apperceptions,” this paper outlines the specific intentional structure of retrospective or evocative apperceptions, analyzing their various possible forms. (shrink)