In many of his writings, Castoriadis argues that ‘the discovery of the imagination’ occurs in the works of Aristotle, Kant, Fichte, Freud, Heidegger and Merleau-Ponty. Although he has systematically encountered and interrogated the works of Aristotle, Kant, Freud, and Merleau-Ponty, the work of Fichte remains an enigmatic absence within the orbit of Castoriadis' work. This study is an attempt to address this enigma through a close reading of Fichte’s The Science of Knowledge.

The object of this paper is to study the analogy, drawn both positively and negatively, between mathematics and fiction. The analogy is more subtle and interesting than fictionalism, which was discussed in part I. Because analogy is not common coin among philosophers, this particular analogy has been discussed or mentioned for the most part just in terms of specific similarities that writers have noticed and thought worth mentioning without much attention's being paid to the larger picture. I intend with this (...) analogy (looking at others' comparisons) to shed a little light on what is going on in mathematics, how one can understand it a bit other than experientially. This intention is philosophical and the way that I am attempting to accomplish it is also philosophical. I shall conclude my attempt to explain how it is possible and even natural for mathematics and fiction to have the analogy they have, taking it for granted, as argued in part I, that they are not to be identified. To this end I shall discuss philosophers' comparisons, mainly those of Hodes, Resnik, Tharp, and Wagner, who are the writers that seem to me to have written most thoughtfully and sufficiently extensively about fiction in making the comparison and of Körner, whose comparison is different. Whether either of these comparisons or the more general analogy is of permanent philosophical interest will have to be decided by philosophers now that they have had a fuller examination. I shall mention some other writers' reference to fiction, but not all; indeed, I am sure that I have not even found all the comparisons that there are. (shrink)

In the complex teaching paradigm constructed and celebrated in classical Greek philosophy, geometry was the gateway to knowledge. Historically, mathematics provided the generational basis of education in Western civilization. Its impact as a disciplining subject was philosophically served by Plato’s most influential metaphysical involvement with the dialectical interplay of form and content, ideas and images, and the formal, hierarchic divisions of reality. Mathematics became a key--perhaps the key--for the establishment of natural, social and intellectual hierarchies in Plato’s work, and mathematical (...) capacities became synonymous with power--the power of abstraction needed to effect and control change. It was the provenience of the academic demands, levels, and achievements celebrated as culturally Western. From ancient Athens to medieval Europe, it became the principle of interactional/hierarchic selection: Similia similibus cognoscuntur--that is, only those things alike can interact cognitively; this launched the notion that mathematical ability is the best test for objectively determining who does and who does not qualify for a social, political, and intellectual meritocracy. (shrink)