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Delia Graff: PHI 534, Philosophy of Language
Spring 2006 Topic: Propositions, Time and Tense
Princeton University
The leading question of the seminar will be: can a proposition
change its truth-value over time? Not many of the readings,
however, will address this question directly. My goal was to put
together a sampling of interesting, in many cases classic, texts
from logic, language and metaphysics that I felt bore on the
question directly or indirectly.
Second Homework Assignment (due by 15 April):
First Homework Assignment (due by end of March):
- Prove that Richard's two versions of temporalist semantics
(from "Tense, Propositions, and Meanings") are equivalent.
- The first version, presented on pp343-344, assigns to each tense
and modal operator a function from temporalist propositions to
temporalist propositions (where a temporalist proposition is a
set of world-time pairs); the second version, presented on p344,
assigns to each tense and modal operator a function from
temporalist sentence-characters ("meanings") to temporalist
sentence-characters, where a temporalist sentence-character is a
function from contexts to sets of world-time pairs. Note that
Richard simplifies a great deal by ignoring context-dependence
on parameters other than time, which is why he identifies a
context with the time of that context.
- The proof should proceed by first defining a one-one
correspondence between the P-models and the
M1-models. In particular, you should define a
one-one function C ("C" is for correspondence) from P-model
valuations to M1-model valuations, so that if
(W,T,VP) is a P-model, then (W,T,C(VP)) is
its corresonding M1-model. (You must also explain
why, or prove that, the correspondence you give is one-one.)
- Then you should show by induction on the complexity of a formula
that for every formula A in the formal language, A is true,
relative to a context c, at a world-time pair (w,t) in the
P-model (W,T,VP) if and only if it's true relative to
c in the corresponding M1-model
(W,T,C(VP)).
I'd like you to use the notation indicated by the following
remarks. When VP is the valuation function from a
P-model, it assigns contents to expressions relative to a
context c (only because of the presence of the indexical operator
'Now'). This relativity should be expressed by use of a
subscript 'c'. When VM1 is the valuation
function from a M1-model, it assigns
characters to expressions, i.e., functions from contexts
to contents. This relativity should be expressed by use of a
an argument place. Using the suggested notation, you're to
prove, by induction on the complexity of a formula, the
following for every formula A:
VP(A)c = C(VP)(A)(c)
The expressions on either side of the identity sign here are sets of
world-time pairs, so to prove their identity you need to show that a
pair (w,t) is in one if and only if it's in the other.
Course Outline:
- 10 Feb: Introduction.
- 17 Feb: Graff at UCSB conference (no class)
- 24 Feb:
- David Kaplan: "Demonstratives" (in
Themes from Kaplan). Presenter: Graff.
- Mark Richard: 1981 "Temporalism and Eternalism" (in
Philosophical Studies). Presenter: Graff.
- Mark Richard: 1982 "Tense, Propositions and Meanings"
(in Philosophical Studies).
Presenter: Graff.
- Nathan Salmon: 1989 "Tense and Singular Propositions" (in
Themes from Kaplan). Presenter: Gilbert Harman.
- 3 March:
- A.N. Prior: "Thank Goodness That's Over,"
Presenter: Graff.
- John Perry: "The Problem of the Essential Indexical,"
Presenter: Graff.
- Robert Stalnaker: "Assertion,"
Presenter: Brian Hedden.
- 10 Mar:
- Robert Stalnaker: "Pragmatics,"
Presenter: Philipp Koralus.
- David Lewis: "Index Context and Content,"
Presenter: Graff
- 17 Mar:
- Jason Stanley: "Names and Rigid Designation,"
and/or "Rigidity and Content,"
Presenter: David Gordon.
- Jeffrey King: "Tense, Modality, and Semantic Values,"
Presenter: Graff
- 24 Mar: SPRING BREAK
- 31 Mar:
- David Lewis: "The Problem of Temporary Intrinsics,"
Presenter: Graff
- EJ Lowe: "Lewis on perdurance versus endurance"
EJ Lowe: "The problems of intrinsic change: rejoinder to Lewis"
David Lewis: "Rearrangement of Particles: Reply to Lowe,"
Presenter: ___________.
- Sally Haslanger: "Endurance and Temporary Intrinsics,"
Presenter: Graff
- Mark Hinchliff: "The puzzle of change,"
Presenter: Ryan Robinson.
- Dean Zimmerman: "Temporary Intrinsics and Presentism,"
Presenter: Graff
- 7 Apr: No class: Graff at UMass
- 14 Apr:
- Mark Aronszajn: "A Defense of Temporalism,"
- G. W. Fitch: "Temporalism Revisited."
- David Lewis: "Tensing the Copula,"
- Dean Zimmerman: "Temporary Intrinsics and Presentism, with
Postscript (2005)"
- 21 Apr:
- Arthur Prior: "Changes in Events and Changes in Things,"
Presenter: ___________.
- Gareth Evans:"Does Tense Logic Rest on a Mistake?,"
Presenter: Elia Zardini.
- Some other paper(s) by Prior (?) from among:
- "Tense Logic and the Logic of Earlier and Later"
- "Tensed Propositions as Predicates"
- "Quasi-Propositions and Quasi-Individuals"
- "Tense Logic for Non-Permanent Existents"
- 28 Apr:
- McTaggart: "The Unreality of Time,"
McTaggart: Excerpt from The Nature of Existence
Presenter: ___________.
- Josh Parsons: "A-Theory for B-Theorists,"
Presenter: ___________.
- Dean Zimmerman: "The A-Theory of Time, The B-Theory of Time, and
`Taking Tense Seriously',"
Presenter: Graff
- 5 May:
- Hans Kamp: "Formal Properties of `Now',"
Presenter: Michael Johnson.
- Mürvet Enç: "Towards a Referential Analysis of Temporal
Expressions,"
Presenter: Graff
- Dorit Abusch: "Sequence of Tense, Intensionality and Scope,"
(?)
Presenter: ___________.
- 12 May (Make-up Class):
- Graeme Forbes: "The Open Future,"
Presenter: ___________.
- John MacFarlane: "Future Contingents and Relative Truth,"
Presenter: Graff
Requirements: In order to pass the course (or, for philosophy
graduate students, to receive a unit in conjunction with the
course), one must do all of the following:
- Give an in-class presentation;
- Write a longish (15--25pp) term paper by the end of reading
period.
- Do any short homeworks that may be assigned during the
semester.
Auditors: Auditors are welcome to attend, and should strongly
consider giving an in-class presentation.
Readings will be available in the Marx Hall Philosophy
Library (102 Marx); those of you who don't have keys to the
library should see Ann Getson in the philosophy department office
(1879 Hall, room 212-C) for keys and explanation for how to make
photocopies (10 cents per page). For the remainder of the semester,
readings will be available at least one seminar session in advance.
Some readings will also be made available online. Because my space on the web server is
limited, readings will not be available after the class for which they
were supposed to have been read. Please download or print any
readings you wish to keep.
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