Luca Barlassina

Fabio Del Prete
email: fabio.del-prete@univ-tlse2.fr

The puzzle of the changing past

Keywords: Necessity of the Past, Tense, Time, Truth-in-Context

If you utter sentence (1) 'Obama was born in 1961' now, you say something true about the past. Since the past will always be such that the year 1961 has the property of being a time in which Obama was born, it seems impossible that (1) could ever be false in a future context of utterance. We shall consider the case of a sentence about the past exactly like (1), but which was true when uttered a few years ago and is no longer true now. On this basis, we shall conclude that the past has changed.

The past has changed. We shall show this by putting together a platitude about truth and the past with a true story you already know.

1.

Here is the platitude: we say true (false) things about the past, and the truth (falsity) of what we say depends on how the past is. For example, if you now say that Obama was born in 1961, you say something about the past, and what you say is true because the past is such that Obama was born in 1961.

To make the point more precise, let's introduce the following terminology: a University of Sheffield, 45 Victoria Street, Sheffield, S3 7QB, UK. l.barlassina@sheffield.ac.uk A.

People utter sentences at contexts, which are minimally constituted by the world and the time at which the sentence is uttered. Thus, if you uttered sentence (1)

'Obama was born in 1961' on the 1 st of January 2000 at the actual world @, the context of your utterance is <@, 1 st January 2000>.

B.

Sentences express propositions at contexts. For example, sentence (1) at context <@, 1 st January 2000> expresses the proposition that Obama was born in 1961. 1 C.

A sentence S is temporally specific if and only if, for any context c, the proposition expressed by S at c ascribes a property to a specific time. 2 Sentence

(1) is temporally specific given that, for any context c, the proposition it expresses at c ascribes to the year 1961 the property of being a time in which Obama was born.3

1 There are many theories of propositions on the market. For our purposes, it is unnecessary to choose one. Pick the one you like the most.

2 The definition of temporally specific sentence is based on the referential analysis of tense originally proposed by Partee (1973) as an alternative to Prior's (1967) operator-based account.

According to the referential analysis, the logical form of ( 1) is roughly as follows:

(i) [t ≤ now & t = 1961 & Obama-be-born(t)]
Despite the strenuous resistance of some supporters of the operator-based account (Recanati 2007, Brogaard 2012), Partee's proposal has become the default position on the semantics of tense (Abusch 1997, Heim 1994, King 2007, Kratzer 1998 and von Stechow 1995).

D.

A sentence is about a past time in a context c if and only if the proposition it expresses at c ascribes a property to a specific time that precedes the time of c.

Accordingly, sentence (1) is about a past time in <@, 1 st January 2000>, since the year 1961 precedes the time of this context.

With A-D at hand, we can express our initial platitude as the following semantic principle:

TAP: Truth about past times

Let S, c, p, Q, t be such that: S is a temporally specific sentence that is about a past time in context c, p is the proposition expressed by S at c, and Q is the property that p ascribes to the specific time t. Then, S is true in c if and only if t has property Q relative to the past of c. 4 For example, sentence (1) is true in <@, 1 st January 2000> because, relative to the past of <@, 1 st January 2000>, the year 1961 has the property of being a time in which Obama was born.

2.

And here is the true story. The second variant of the objection has it that (2) is still true after the revocation of Armstrong's titles -hence, still true in Context B. One can try to support this intuition by exploiting the platitude that sincere speakers only assert what they take to be true sentences, and then pointing to cases in which sincere and informed speakers seem to assert (2), or sentences entailing (2), after the revocation of Armstrong's titles.

For example, one might consider discourses like the following ones:

(4) Armstrong won the Tour de France seven times from 1999 to 2005. He was later stripped of those titles for doping.

(USA Today, June 28 th 2013) 7

(5)

The American won seven times straight, before being disqualified for systematic doping.

(The Australian, July 13 th 2013) 8 ( Asher and Lascarides, 2003), hence as entailing S 1 . Therefore, given that the conjunct S 1 in (4), namely, 'Armstrong won the Tour de France seven times from 1999 to 2005,' entails (2), one might conclude that (4) entails (2). On the other hand, complex sentences of the form [S 1 before S 2 ] are usually understood as entailing their component sentence S 1 (Beaver and Condoravdi, 2003). Thus, since S 1 in (5), i.e., 'The American won seven times straight,' contextually entails (2), it might appear safe to conclude that (5) contextually entails (2). These conclusions, however, are flawed. If (4) really 7 http://www.usatoday.com/story/sports/cycling/2013/06/28/lance-armstrong-impossible-wintour-de-france-doping/2471413/ 8 http://www.theaustralian.com.au/sport/opinion/chris-froome-looking-just-too-good-in-yellowjersey-at-tour-de-france/story-e6frg7t6-1226678708461#mm-premium entailed its S 1 -component, the addition of sentence ( 6) to (4) would result in a contradiction, since (6) and the S 1 -component of ( 4) are logically incompatible:

(6) Armstrong never won any Tour de France in the end.

But the following discourse is perfectly consistent:

(7) Armstrong won the Tour de France seven times from 1999 to 2005. He was later stripped of those titles for doping. So, Armstrong never won any Tour de France in the end.

Therefore, (4) does not entail its S 1 -component. Hence, given that (4) could entail (2) only in virtue of entailing its S 1 -component, it follows that (4) does not entail (2) either.

The same considerations apply, mutatis mutandis, to (5). Accordingly, the alleged evidence in support of the intuition that ( 2 Thus, the strategy of considering assertions made by informed and sincere speakers, rather than supporting the intuition that ( 2) is true in Context B, provides evidence in favour of the intuition that ( 2) is false in that context.

4.

A second way in which one might try to block the conclusion that the past has changed is arguing that the proposition that is false in Context B is not the same as the proposition that is true in Context A. There are two plausible ways to articulate this objection:

Contextualism

The verb phrase 'win the Tour de France in 2000' is a context-sensitive monadic predicate whose content at a context depends on which declaration is relevant in that context. 12 10 http://twitter.com/TheCodyG/statuses/238835618472423424 11 http://www.cbsnews.com/8301-400_162-57537025/lance-armstrong-stripped-of-tour-defrance-medals/

12 More precisely, the content of 'win the Tour de France in 2000' at a context c would be a function from worlds w to sets of individuals i such that i wins the Tour de France in 2000 in w according to the declaration that is relevant in context c.

Relationalism

The verb phrase 'win the Tour de France in 2000' is an implicitly relational predicate (Condoravdi and Gawron, 1996) which, at a certain context, relates a person and a declaration that is relevant in that context. 13 On these accounts, ( 2) is predicted to express proposition ( 11 Contextualism and Relationalism, however, face a major problem. Suppose that, having come to know that Armstrong's titles have been revoked by declaration β, Ms.

Blue utters sentence (13) at Context B:

13 Relationalism naturally follows from the view that the property being the winner of the Tour de France in 2000 is a relational property holding (at a context c) between a person and a declaration (which is valid in c) by a competent authority.

14 Strictly speaking, the two accounts ascribe different logical forms to sentence ( 2 This difference, however, has no bearing on the point we are making here, since (iii) and (iv) specify the same proposition in any given context -relative to a context c, they specify the proposition that Lance Armstrong won the Tour de France in 2000 according to the declaration by UCI that is relevant in c.

(13) It is no longer the case that Lance Armstrong won the Tour de France in 2000.

There is a clear intuition that ( 13

Conclusion

Without any doubt, there is something puzzling in the conclusion that the past has changed. This conclusion, however, has been shown to follow from a platitude and a true story. One should then stop asking whether the past can change and start to inquire on how to make sense of this. We leave this task to a future paper -unless the future changes. 15

15 This paper was prompted by an ingenious point made by David Ripley to FDP a few years ago. David probably does not remember that, but we do, and we want to thank him. We also wish to thank our audiences at the 2013 Meeting of Philosophy of Language in Gargnano sul Garda, the 2014 European Congress of Analytic Philosophy, the Journées S'calades-14 and the Sheffield Post Graduate Seminar for their stimulating questions and criticisms. We are indebted to Nicholas Asher, Chiara Brozzo, Andrea Iacona, Kevin Reuter, Giuseppe Spolaore, Jesse Tseng, Tomoo Ueda and Hugo von Sachsen-Adel for reading a previous version of the paper (a very long one, indeed) and providing many insightful comments. Niall Connolly, Guillermo Del Pinal, Rosanna Keefe, Jess Leech, Jenny Saul and an anonymous reviewer were luckier, since they read a much shorter version of the paper. The present article greatly benefitted from their suggestions and objections. We are particularly thankful to Andrea Bonomi, Giuliano Torrengo and Raphael van Riel, who read both versions of the paper, raised tons of invaluable points and helped us to address various insidious objections. LB's work was supported by the Alexander von Humboldt Foundation.

( 4 )

 4 seems to entail (2) because discourses in which two sentences S 1 , S 2 are concatenated are usually interpreted as entailing the logical conjunction [S 1 & S 2 ]

  ) at Context A and proposition (12) at Context B: 14 (11) that Lance Armstrong won the Tour de France in 2000 according to UCI declaration of the 23 rd of July 2000 (hereafter 'declaration α'); (12) that Lance Armstrong won the Tour de France in 2000 according to UCI declaration of the 22 nd of October 2012 (hereafter 'declaration β').

  [ T' [ DP Lance Armstrong][ VP win the Tour de France in 2000]]] (iv) Relationalism: [ TP PAST [ T' [ DP Lance Armstrong][ VP win the Tour de France in 2000 according to d]]]

is false in Context

  on Christmas 2002, but did not have that property on Christmas 2012 any longer.If one thinks that the conclusion that the past has changed is too crazy to be true, one will have to impugn one or more of our premises. Which ones? We take it that one cannot but accept that Context A and Context B are located in the same world, and also that sentence (2) is a temporally specific sentence that is about a past time in both contexts. Moreover, TAP is a quite uncontroversial way to capture a pre-theoretical intuition about what it takes for a sentence about a past time to be true. Armstrong managed to have the lowest overall time at the Tour de France in 2000 only by doping himself, thus by cheating; but since one cannot be the winner if one cheated, (2) was already false in Context A.This objection rests on a confusion, by which the property being the winner is conflated with the property being the person who deserves to win. True enough, one cannot enjoy the latter property if one cheated; however, one can enjoy the former even if one cheated, since the possession of the property being the winner is determined solely by a declaration of a competent authority, and a competent authority may, for one to Armstrong, but rather ascribes the property being the winner of the Tour de France in 2000 to him. Since on the 23 rd of July 2000 a competent authority had declared Armstrong the winner, and this declaration was still valid on Christmas 2002, it follows that (2) is true in Context A.

	(2)	Lance Armstrong won the Tour de France in 2000.
	There is a clear intuition that Frank said something true. Time goes by. Having
	discovered that Armstrong made use of banned substances, on the 22 nd of October 2012
	UCI withdraws all of Armstrong's wins at Tour de France. As Frank is not aware of this
	fact, he utters (2) again at <@, 25 th December 2012> (hereafter, Context B). This time,
	it seems that Frank said something false.
		What's the moral of this story? (2) is a temporally specific sentence that is about
	a past time in both Context A and Context B. Moreover, since (2) does not contain any
	context-sensitive element -there are no demonstratives, indexicals, gradable adjectives,
	etc. in it -it expresses the same proposition at both Context A and Context B, namely,
	(3): 5
	(3)	that Lance Armstrong won the Tour de France in 2000.
	Since (2) is true in Context A, it follows from TAP that, relative to the past of Context
	A, the year 2000 has the property of being a time in which Armstrong won the Tour de
	France. And since (2)
		It is the 23 rd of July 2000. Being the rider with the lowest
	overall time at the end of the last stage, Lance Armstrong is declared the winner of the
	Tour de France by Union du Cyclisme Internationale (UCI). On <@, 25 th December
	2002> (hereafter, Context A), Frank utters (2):

B, it follows from TAP that, relative to the past of Context B, the year 2000 does not have the property of being a time in which Armstrong won the Tour de France. However, Context A and Context B are located in the same world, i.e., the actual world. This means that, in moving from Context A to Context B, the past (of the actual world) has changed: the year 2000 had a certain 5 One might point out that, on the referential analysis of tense we are adopting, the tense is a context-sensitive element, i.e., a variable which picks out a contextually relevant time. Fair enough. Still, the past tense in (2) is an instance of a bound variable -the time adverb 'in 2000' binds it to the year 2000. Hence, (2) expresses proposition (3) at both Context A and Context B.

property 6 Therefore, if one intends to avoid the conclusion that the past has changed, one will probably have to resist one or the other of the following premises: first, the intuition that (2) is true in Context A and false in Context B; second, the claim that (2) expresses the same proposition at both Context A and Context B. Let's consider these two objections in turn.

3.

The objection that (2) has not changed its truth value from Context A to Context B comes in two variants. The first goes like this: reason or another, declare a cheater the winner. Consider, for example, the match between Argentina and England at the FIFA World Cup in 1986. Argentina won the match 2-1. However, the crucial score was achieved through a blatant violation of a rule, as Argentinian player Maradona pushed the ball into the net with his hand. The referee did not see the infraction and validated the score. Thus, even though Argentina cheated, and hence did not deserve to win the match, it was nonetheless the winner, since the competent authority so declared.

With this in mind, ask yourself again: was (2) true when uttered in Context A? Needless to say, Armstrong did not deserve to win the Tour de France in 2000.

Therefore, (2) would be false in Context A if it ascribed the property being a person who deserves to win the Tour de France in 2000 to Armstrong. However, (2) does not ascribe this property

  But this presupposition is false in Context B: since declaration β established the revocation of Armstrong's titles, it has never been the case that, relative to the past of Context B, Armstrong won the

	) is true in Context B, but one cannot account for this if Tour de France in 2000 according to β. Therefore, sentence (13) cannot be true in
	one assumes that the verb phrase 'win the Tour de France in 2000' is a context-sensitive Context B in virtue of expressing proposition (14) at that context, thus 'win the Tour de
	monadic predicate or an implicitly relational predicate. On both accounts, since the France in 2000' is neither a context-sensitive monadic predicate, nor an implicitly
	declaration that is relevant in Context B is declaration β, (13) is predicted to express relational predicate. Since sentence (2) does not contain any other element which may
	proposition (14) at that context: be plausibly regarded as context-sensitive, it follows that (2) expresses the same
	proposition at both Context A and Context B.
	(14) that it is no longer the case that Lance Armstrong won the Tour de France in
	2000 according to declaration β.
	According to Contextualism, declaration β enters proposition (14) in virtue of being a
	part of the content (at Context B) of 'win the Tour de France in 2000'. According to
	Relationalism, declaration β enters proposition (14) in virtue of being an argument of
	the implicitly relational predicate 'win the Tour de France in 2000'. Either way, the
	propositional constituent according to declaration β obligatorily takes narrow scope
	with respect to the propositional constituent it is no longer the case that. Thus, (14) has
	to be kept distinct from (14'):
	(14') that according to declaration β, it is no longer the case that Lance Armstrong
	won the Tour de France in 2000.
	Rather, (14) must be read as presupposing that it was true in the past that Armstrong

won-the-Tour-de-France-in-2000-according-to-declaration-β.

Notice that the definition does not require that the time and the property be the same at all contexts. Thus, the sentence 'Yesterday I was in Rome' counts as temporally specific on our definition.

It is trivial to see that TAP directly results from a combination of the classical Kaplanian notion of Truth-in-Context[START_REF] Kaplan | Demonstratives[END_REF] with the referential analysis of tense.

If one favors an operator-based account of tense over a referential analysis, one might argue that TAP is in fact controversial, since it is based on the latter analysis. This objection won't do, since an even more serious puzzle emerges if one adopts an operator-based account of tense. On the latter, the logical form of (2) is (ii):(ii) P(Armstrong wins the Tour de France & it is 2000) Formula (ii) is true in a context c if and only if 'Armstrong wins the Tour de France & it is 2000' is true relative to c w and a time t < c t (where c w and c t are, respectively, the world and the time of c). This entails that (ii) is true in c if and only if 'Armstrong wins the Tour de France' is true relative to c w and a time t < c t such that t = 2000. Thus, since (ii) is true in Context A, 'Armstrong wins the Tour de France' is true relative to @ and a time t < 25 th December 2002 such that t = 2000; and since (ii) is false in Context B, it is not the case that 'Armstrong wins the Tour de France' is true relative to @ and a time t < 25 th December 2012 such that t = 2000. But this means that there is a time in the past of @, namely the year 2000, in which Armstrong both wins and doesn't win the Tour de France.

http://cyclingprof.blogspot.fr/2012/10/congratulations-to-no-one.html