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
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
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
Though most accounts of emergence take this to be a broadly synchronic phenomenon, it has been recently maintained that there are distinctively diachronic forms of emergence (see, e.g., O’Connor and Wong’s 2005 account of strong emergence, Mitchell’s 2012 dynamic self-organization account of emergence, and Humphreys’ and Sartenaer and Guay’s 2016 accounts of ‘transformational emergence’). Here I argue that there is no need for a distinctively diachronic notion of emergence, as purported cases of such emergence can either be subsumed under broadly synchronic accounts, or else are better seen as simply cases of causation.
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
Well-known ties between arithmetical proof and intuitionistic logic make it natural to think of provability in terms of intuitionistic logic and hence absolute provability in terms of one of its extensions. For this reason, we propose Intuitionistic Tense Logic, or tINT, to study absolute provability. We delineate tINT models and a Hilbert-style system, and then prove soundness and completeness. We then use the tINT framework to discuss and compare ideas of absolute provability of authors in the literature.
The Saul Kripke Center is pleased to announce that Vincent A. Peluce (PhD student, Philosophy, CUNY Graduate Center) will deliver the fourth Saul Kripke Center Young Scholars Series talk on Thursday, December 5, 2019, from 2:00 to 4:00 in room 9206 of the CUNY Graduate Center.
This paper will address the question of whether the logic of a fiction can be specified as part of the fiction. For example, can one tell a fictional story in which it is part of the story that the logic in question is, say, K3? It seems unproblematic that we can do this. After all, we can tell a story about a world with a different geometry from ours, different physical laws, and even different numbers of dimensions (e.g. the two-dimensional world of Flatland). While allowing fictions to specify their own logics seems a natural extension of such science fiction, there are problems looming. Fictions are, by their very nature, incomplete. Specifying that the logic in question is classical is to embrace, amongst other things, classical principles such as excluded middle. But if the fictional world is incomplete, in what sense can it be part of the story that excluded middle holds? We would, in effect, be specifying that the incomplete situation described in the fiction is complete. Imposing excluded middle where it doesn’t belong leads to contradiction. These are especially pressing issues for (particular kinds of) fictionalism about mathematics.
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
The notion of an occurrence of a proposition in discourse is the subject of the following observation:
(O) A proposition may occur in discourse, now asserted, now unasserted, and yetbe recognizably the same proposition.
I shall argue that the true significance of this observation is utterly distorted by Geach’s manner of construing of it — a construal widely known today as “the Frege-Geach point”. Though it serves as a basis for a contemporary understanding of logical form, strictly thought through, this way of construing (O) can be shown to lead to absurdity. I will further argue that a straightforward, undistorted, acceptance of (O) is the key to a genuine philosophical logic.
— Irad Kimhi (The Committee on Social Thought, University of Chicago)
Reception to follow.
While non-classical theories of truth that take truth to be transparent have some obvious advantages over any classical theory that evidently must take it as non-transparent, several authors have recently argued that there’s also a big disadvantage of non-classical theories as compared to their “external” classical counterparts: proof-theoretic strength. Some of them have concluded that this gives a decisive advantage to classical logic theories. Williamson has argued this too. While conceding the relevance of proof-theoretic strength to the choice of logic, I will argue that there is a natural way to beef up extant internal theories so as to remove their proof-theoretic disadvantage. Given this, the resulting internal theories should seem preferable to their external counterparts.
Logic and Metaphysics Workshop Spring 2020
Feb 3 Hartry Field, NYU
Feb 10 Melissa Fusco, Columbia
Feb 17 GC CLOSED NO MEETING
Feb 24 Dongwoo Kim, GC
Mar 2 Alex Citikin, Metropolitan Telecommunications
Mar 9 Antonella Mallozzi, Providence
Mar 16 Mircea Dimitru, Bucharest
Mar 23 Jenn McDonald, GC
Mar 30 David Papineau, GC
Apr 6 ? Eoin Moore, GC
Apr 13 SPRING RECESS NO MEETING
Apr 20 Michał Godziszewski, Munich
Apr 27 Michael Glanzberg, Rutgers
May 4 Matteo Zichetti, Bristol
May 11 Lisa Warenski,GC
May 18 PROBABLY NO MEETING
I explore the implications of the Tense Phrase deletion operation known as sluicing (Ross 1969) for the semantic and pragmatic literature on the Free Choice effect (Kamp 1973, von Wright 1969). I argue that the time-honored ‘I don’t know which’-riders on Free Choice sentences, traditionally taken to show that the effect is pragmatic, are sensitive to scope. Careful attention to such riders suggests that these sluices do not show cancellation on Free Choice antecedents in which disjunction scopes narrower than the modal.
Logic and Metaphysics Workshop Spring 2020
Feb 3 Hartry Field, NYU
Feb 10 Melissa Fusco, Columbia
Feb 17 GC CLOSED NO MEETING
Feb 24 Dongwoo Kim, GC
Mar 2 Alex Citikin, Metropolitan Telecommunications
Mar 9 Antonella Mallozzi, Providence
Mar 16 Mircea Dimitru, Bucharest
Mar 23 Jenn McDonald, GC
Mar 30 David Papineau, GC
Apr 6 ? Eoin Moore, GC
Apr 13 SPRING RECESS NO MEETING
Apr 20 Michał Godziszewski, Munich
Apr 27 Michael Glanzberg, Rutgers
May 4 Matteo Zichetti, Bristol
May 11 Lisa Warenski,GC
May 18 PROBABLY NO MEETING