Calendar

Two proof-systems P and P* are said to be complementary when one proves exactly the non-theorems of the other. Complementary systems come as a particular kind of refutation calculi whose patterns of inference always work by inferring unprovable conclusions form unprovable premises. In the first part of my talk, I will focus on LK*, the sequent system complementing Gentzen’s system LK for classical logic. I will show, then, how to enrich LK* with two admissible (unary) cut rules, which allow for a simple and efficient cut-elimination algorithm. In particular, two facts will be highlighted: 1) for any given provable sequent, complementary cut-elimination always returns one of its simplest proofs, and 2) provable LK* sequents turn out to be “deductively polarized” by the empty sequent. In the second part, I will observe how an alternative complementary sequent system can be obtained by slightly modifying the Gentzen-Schütte system G3. I will finally show how this move could pave the way for a novel approach to multi-valuedness and proof-theoretic semantics for classical logic.

This essay tries to develop a “black radical Kantianism” – that is, a Kantianism informed by the black experience in modernity. After looking briefly at socialist and feminist appropriations of Kant, I argue that an analogous black radical appropriation should draw on the distinctive social ontology and view of the state associated with the black radical tradition. In ethics, this would mean working with a (color-conscious rather than colorblind) social ontology of white persons and black sub-persons and then asking what respect for oneself and others would require under those circumstances. In political philosophy, it would mean framing the state as a Rassenstaat (a racial state) and then asking what measures of corrective justice would be necessary to bring about the ideal Rechtsstaat.

Response by César Cabezas Gamarra.

Presented by the German Idealism Workshop

Meetings are held on Tuesdays at Fordham’s Lincoln Center campus in Manhattan in the Plaza View Room on the 12th floor of the Lowenstein Building (113 W 60th St).We meet from 5:30 to 6:45 and papers are read in advance. If interested in attending, contact sahaddad@fordham.edu, swhitney@fordham.edu, or jeflynn@fordham.edu.
​

2019-20

• September 24 – Rosaura Martínez (UNAM) “Alterability and Writing. Rethinking an Ontology of Dependency”
• October 15 – Jesús Luzardo (Fordham) “The Wages of the Past: Whiteness, Nostalgia, and Property”
• November 19 – Verena Erlenbusch-Anderson (Syracuse) “Conceptualizing Terrorism ‘From Below’: Lynching as Racial Terrorism”
• February 11 – Jill Stauffer (Haverford)
• March 10 – Sina Kramer (Loyola Marymount), “How to Read a City: Toward a Political Epistemology of Gentrification.”​
• April 7 – David Lay Williams (DePaul) “’Too much abundance in one or a few private men’: Hobbes on Inequality and the Concentration of Wealth”