We revisit the foundational question “Can consistency of a theory T be established by means of T?” The usual answer “No, by Gödel’s Second Incompleteness Theorem” is based on two assumptions:
1. Gödel’s internalized consistency formula is the only way to represent consistency.
2. Any contentual reasoning within T internalizes as a formal derivation in T.
We show that already for Peano arithmetic PA both of these assumptions are false: (1) does not cover such legitimate mode of presentation as schemes (think of the Induction scheme), (2) fails for schemes. Based on these observations, we offer a proof of PA-consistency by means of PA and discuss its potential impact.
Logic & Metaphysics Workshop
September 2 GC Closed NO MEETING
September 9 Yael Sharvit, UCLA
September 16 Ole Hjortland and Ben Martin, Bergen
September 23 Alessandro Rossi, StAndrews
September 30 GC Closed NO MEETING
October 7 Dongwoo Kim, GC
October 14 GC Closed NO MEETING
October 21 Rohit Parikh, GC
October 28 Barbara Montero, GC
November 4 Sergei Aretmov, GC
November 11 Martin Pleitz, Muenster
November 18
November 25
December 2 Jessica Wilson, Toronto
December 9 Mark Colyvan, Sydney
December 16 MAYBE A MEETING; MAYBE NOT
In recent decades, “mindfulness” has spread like wildfire in the United States, pervading schools, hospitals, the tech industry, and even Wall Street. Thanks to research by Professor of Medicine Jon Kabat-Zinn, mindful practices such as meditation are increasingly used to address a wide range of social, emotional, and spiritual issues—such as alienation, anger, and depression—as well as a variety of physical conditions—such as cancer recovery and psoriasis. In this talk, I encourage us to get curious about this trend of mindfulness, asking: Who does it benefit? Where did it come from? What does it owe?
Brooklyn Public Philosophers is a forum for philosophers in the greater Brooklyn area to discuss their work with a general audience, hosted by the Brooklyn Public Library. Its goal is to raise awareness of the best work on philosophical questions of interest to Brooklynites, and to provide a civil space where Brooklynites can reason together about the philosophical questions that matter to them.
10/23 – Philosophy in the Library: Jennifer Morton on Education @ the Brooklyn Public Library’s Information Commons Lab // 7:30-9:00 PM
11/6 – Philosophy in the Library: Asia Ferrin on Mindfulness @ the Brooklyn Public Library’s Information Commons Lab // 7:00-9:00 PM
12/4 – Philosophy in the Library: Sebastian Purcell on Aztec Philosophy @ the Brooklyn Public Library’s Information Commons Lab // 7:30-9:00 PM
Recently, a group of scholars has challenged the moral legitimacy of Confucian democracy from a liberal philosophical standpoint. According to these scholars, including political liberals and moderate perfectionists, any attempt to create a Confucian democratic theory inevitably confronts a dilemma—let us call this the pluralism dilemma—with the following two horns: (a) a free society is characterized by the plurality of mutually incompatible, often conflicting, moral, philosophical, and religious doctrines that guide an individual’s conception of the good life and a truly democratic theory is required to accommodate as many reasonable conceptions of the good and comprehensive doctrines as possible and (b) a Confucian democratic theory gives a privileged normative standing to Confucianism over other competing comprehensive doctrines. This paper defends Confucian democracy against this pluralism challenge by articulating its political purpose and constitutional structure, which are commonly dismissed in the critics’ analytical frameworks.
With responses from: OMAR DAHBOUR (Hunter College & Graduate Center, CUNY)
The Fall dates for the Comparative Philosophy seminar:
September 20 – Justin Tiwald (San Francisco State University)
October 11 – Richard Kim (Loyola University, Chicago
November 8 – Sungmoon Kim (City University of Hong Kong)
December 6 – Paul R. Goldin (University of Pennsylvania)
More details (such as titles, abstracts, and respondents) to follow. Looking forward to seeing you soon.
Hagop Sarkissian
Associate Professor & Chair, Department of Philosophy, The City University of New York, Baruch College
Associate Professor, Department of Philosophy, CUNY Graduate Center
Co-Director, Columbia Society for Comparative Philosophy
https://www.cbs.columbia.edu/cscp/
The Fall dates for the Comparative Philosophy seminar:
September 20 – Justin Tiwald (San Francisco State University)
October 11 – Richard Kim (Loyola University, Chicago
November 8 – Sungmoon Kim (City University of Hong Kong)
December 6 – Paul R. Goldin (University of Pennsylvania)
More details (such as titles, abstracts, and respondents) to follow. Looking forward to seeing you soon.
Hagop Sarkissian
Associate Professor & Chair, Department of Philosophy, The City University of New York, Baruch College
Associate Professor, Department of Philosophy, CUNY Graduate Center
Co-Director, Columbia Society for Comparative Philosophy
https://www.cbs.columbia.edu/cscp/
Reification is the systematic association of a non-object with an object that encodes it. Therefore the reificationist must be a trans-objectist – i.e., anyone who thinks that there are instances of reification must also think that some items are not objects. As exemplified by Frege’s puzzle of the concept horse, non-objects and reification are notoriously difficult to talk about. Therefore I will begin my presentation by outlining a formal language that enables the trans-objectist and the reificationist to speak in a way that is not self-undermining. I will go on and employ the framework to give a uniform diagnosis of the set theoretic and semantic paradoxes in terms of static reification that is an alternative to Graham Priest’s Inclosure Schema, and sketch how dynamic reification can provide a uniform solution to the paradoxes as well as a general account of the constitution of abstract objects. In order to achieve this it will be crucial to import some tools of Procedural Postulationism, a dynamic account of the ontology of mathematics developed by Kit Fine.
Logic and Metaphysics Workshop
September 2 GC Closed NO MEETING
September 9 Yael Sharvit, UCLA
September 16 Ole Hjortland and Ben Martin, Bergen
September 23 Alessandro Rossi, StAndrews
September 30 GC Closed NO MEETING
October 7 Dongwoo Kim, GC
October 14 GC Closed NO MEETING
October 21 Rohit Parikh, GC
October 28 Barbara Montero, GC
November 4 Sergei Aretmov, GC
November 11 Martin Pleitz, Muenster
November 18
November 25
December 2 Jessica Wilson, Toronto
December 9 Mark Colyvan, Sydney
December 16 MAYBE A MEETING; MAYBE NOT
There is a broad consensus that Aristotle introduced the concept of matter in order to develop a consistent account of substantial change. However, it is disputed which role matter fulfills in substantial change. According to the traditional interpretation, matter persists while taking on or losing a substantial form. According to a rival interpretation, matter does not persist in substantial change; instead, it is an entity from which a new substance can emerge and which ceases to exist in this process. In my view, both interpretations are problematic in the light of Aristotle’s broader ontological project and are at odds with the way Aristotle describes the substantial generation of living beings. On the basis of Aristotle’s biological theory, I will suggest that Aristotelian matter is a continuant in substantial generation, but does not satisfy the common criteria for persistence that apply to individual substances.
Anna Schriefl
Anna Schriefl is Wissenschaftliche Mitarbeiterin (assistant professor) at the University of Bonn, and currently a visiting scholar at the New School. She has published a book about Plato’s criticism of money and wealth, and most recently an introduction into Stoicism (both in German).
The Hintikka-Kripke problem consists in reconciling Hintikka’s semantics for doxastic operators and Kripke’s semantics for alethic operators. The problem arises from their treatment of identity. While the necessity of identities was one of the main innovations of Kripke’s semantics, Hintikka needs identities to be contingent to explain the opacity of doxastic operators. Yet alethic and doxastic operators are combined effortlessly in everyday discourse. In the talk, I will first discuss various attempts at reconciliation within the orthodoxy about opacity, and raise objections to them. Then, I will propose an unorthodox idea: rather than thinking of doxastic operators as introducing new possible worlds with different identities, think of them as introducing new logical spaces with different domains of objects. This achieves reconciliation by circumscribing the necessity of identities to the logical space of each agent. To assess this idea viz-a-viz its competitors, we will have to reexamine some fundamental concepts of the problem of opacity, such as the concepts of language and semantics.
Logic and Metaphysics Workshop
September 2 GC Closed NO MEETING
September 9 Yael Sharvit, UCLA
September 16 Ole Hjortland and Ben Martin, Bergen
September 23 Alessandro Rossi, StAndrews
September 30 GC Closed NO MEETING
October 7 Dongwoo Kim, GC
October 14 GC Closed NO MEETING
October 21 Rohit Parikh, GC
October 28 Barbara Montero, GC
November 4 Sergei Aretmov, GC
November 11 Martin Pleitz, Muenster
November 18 Matias Bulnes, CUNY
November 25 Vincent Peluce, CUNY
December 2 Jessica Wilson, Toronto
December 9 Mark Colyvan, Sydney
December 16 MAYBE A MEETING; MAYBE NOT
September 2 GC Closed NO MEETING
September 9 Yael Sharvit, UCLA
September 16 Ole Hjortland and Ben Martin, Bergen
September 23 Alessandro Rossi, StAndrews
September 30 GC Closed NO MEETING
October 7 Dongwoo Kim, GC
October 14 GC Closed NO MEETING
October 21 Rohit Parikh, GC
October 28 Barbara Montero, GC
November 4 Sergei Aretmov, GC
November 11 Martin Pleitz, Muenster
November 18 Matias Bulnes, CUNY
November 25 Vincent Peluce, CUNY
December 2 Jessica Wilson, Toronto
December 9 Mark Colyvan, Sydney
December 16 MAYBE A MEETING; MAYBE NOT
The Vanishing Point of Existence: Kierkegaard and the Ethics of the Novel.
Presented by: Yi-Ping Ong, Associate Professor, Department of Comparative Thought and Literature, Johns Hopkins University.
Presented by Liberal Studies at The New School of Social Research
L.E.J. Brouwer writes, “people try by means of sounds and symbols to originate in other people copies of the mathematical constructions and reasonings which they have made themselves; by the same means they try to aid their own memory. In this way the mathematical language comes into being, and as its special case the language of logical reasoning” (1907). More is left to be said, however, about the relation between the Brouwerian subject and logical language. In this talk we discuss the usual account of this relation and some problems with that view. We then propose an alternative.
Logic and Metaphysics Workshop
September 2 GC Closed NO MEETING
September 9 Yael Sharvit, UCLA
September 16 Ole Hjortland and Ben Martin, Bergen
September 23 Alessandro Rossi, StAndrews
September 30 GC Closed NO MEETING
October 7 Dongwoo Kim, GC
October 14 GC Closed NO MEETING
October 21 Rohit Parikh, GC
October 28 Barbara Montero, GC
November 4 Sergei Aretmov, GC
November 11 Martin Pleitz, Muenster
November 18 Matias Bulnes, CUNY
November 25 Vincent Peluce, CUNY
December 2 Jessica Wilson, Toronto
December 9 Mark Colyvan, Sydney
December 16 MAYBE A MEETING; MAYBE NOT