Arka Chattopadhyay (IIT Gandhinagar)



Matheme-a-tics and Subjectivity


This paper attempts to think the excluded subject of mathematics as a matheme-a-tical subject, irreducible to calculative rationality and opening up object a as a matheme of desire qua the mathematical discourse. How do we see the subject of mathematics (number to be more specific) in relation to the subject of desire and how does number create a space for subjective division qua desire? The paper will tease out the dialectic of number in relation to subjective splitting and metonymy of objects from Jacques Lacan’s 9th seminar on identification. We will speculate whether there is a psychoanalytic subject of lack qua number or if number is a form of being that is not subservient to subjectivity, as Alain Badiou holds in Number and Numbers. From number as a mathematical site for the emergence of the split subject and its being in lack, the paper will go on to approach mathematics through set-theory and zoom in on the problem of the Other as the ‘one-extra’ (un-en-plus) in Lacan’s set-theorization of language in Seminar XVI. We will consider how the axiom ‘there is no metalanguage’ speaks to the axiom ‘there is no Other of the Other’ in a matheme-a-tical way situates object a. The final section of the paper will raise and respond to two questions that are as follows. If the subject of mathematics is axiomatic, how does it reflect upon the equivocal status of language by forcing it with the integral transmission of the matheme? How does Lacan resolve the tension that integral transmission by way of the matheme will eliminate psychoanalytic interpretation, premised on the equivocal status of language?