Online research in philosophy

The debate between A-theory and B-theory in the philosophy of time is a persistent one. It is not always clear, however, what the terms of this debate are. A-theorists are often lumped with a miscellaneous collection of heterodox doctrines: the view that only the present exists, that time flows relentlessly, or that presentness is a property (Williams 1996); that time passes, tense is unanalysable, or that earlier than and later than are defined in terms of pastness, presentness, and futurity (Bigelow 1991); or that events or facts (as opposed to language) are “tensed” (Mellor 1993). B-theorists then argue that the A-theory is incoherent, using variants on J.M.E. McTaggart’s argument for the unreality of time (McTaggart 1927, ch. 33).

Concerning the versions of the Tenseless Theory of Time, the Old Btheory has two: the Date-analysis version and the Token-reflexive version, while the New B-theory has three: the Date-analysis, the Token-reflexive and the Sentence-type versions. Each of these five versions of the B-theory has received serious attacks from the A-theorists, some of whom even claim that the tenseless theory “though still widely held, is a theory in retreat” (Craig 1996), and that “if Quentin Smith (1993) delivered the mortal blow to the New B-Theory of Language then Laurie Paul (1997) has written its obituary” (Craig 1999). In this paper, by making more precise some key notions involved in the formulation of a tenseless theory – in particular, two notions of truth conditions, two notions of meaning and two notions of translation are distinguished – I have come up with a single B-thesis for the B-theory. When charitably interpreted, the two versions of the old theory and the three versions of the new theory can all be regarded as special ways of presenting the same B-thesis, and the various A-attacks raised against these versions can then be resolved in a systematic way.

The essence of the meaning of a declarative sentence is given by stating its truth conditions, and consequently semantics, the study of meaning, must include a theory of truth conditions. Such a theory must not only describe accurately the truth conditions of declarative sentences, it must also answer the question of when two sentences have the same truth conditions. The fundamental semantic relation of having the same truth conditions cannot be ignored by any reasonable theory.This paper is an attempt to find a partial account of this relation by using game theoretical semantics as developed by Hintikka and his followers. The account given will establish a connection between this approach to semantics and the theory of firstdegree entailment formulated by Anderson and Belnap.

In this essay I respond to Quentin Smith's chargethat `the date-analysis version ofthe tenseless theory of time cannot give adequateaccounts of the truth conditions ofthe statements made by tensed sentence-tokens'(Smith 1999, 236). His argument isbased on an analysis of certain counterfactualsituations that is at odds with thedate-analysis account of language and hence succeedsonly in begging the questionagainst that theory. To anticipate: his argumentfails if one allows that temporalindexicals such as `now' rigidly designate theirtime of utterance, something thedate-analyst can happily admit whether she adheresto an absolute or relationalmetaphysics of time.

I defend the A Theory of Time that there are tensed (and other indexical) facts, e.g., about what has happened, as well as tenseless facts, e.g., about what happened in the nineteenth century. I reject arguments of McTaggart and Grunbaum, but concentrate on Mellor’s argument that tenseless truth-conditions can be given for the truth of every tensed sentence. My rebuttal of this argument depends on a distinction between the ’proposition’ and the ’statement’ expressed by a sentence. Statements have changeless truth-value, while propositions may change truth-value; but there is more to be known than knowledge of true statements can capture.

There are two extant versions of the new tenseless theory of time: the date versionand the token-reflexive version. I ask whether they are equivalent, and if not, whichof them is to be preferred. I argue that they are not equivalent, that the date version isunsatisfactory, and that the token-reflexive version is correct. I defend the token-reflexive version against a string of objections from Quentin Smith. My defence involves a discussion of the ontological and semantic significance of truth conditions, and of the connection between truth and reality on the one hand, and that between truth and meaning on the other. I argue that Smith''s objections to the token-reflexive theory stem from his confusing these two aspects of the notion of truth.

The co-reporting theory holds that for every A-sentence-token there is a B-sentence that differs in sense but reports the same event orstate of affairs. Thus, if it is now t7, what is reported by now tokening “It is t7 now” is identical with what is reported by tokening “It is t7 at t7.” Quentin Smith has argued that the fact that the sentence-tokens differ in sense but are co-reporting is compatible with the A-theory supposition that their difference in sense consists in the fact that the A-sentence-token alone conveys the information that t7 has an irreducible A-property of presentness. I counter argue that every time the indexical “now” is tokened it expresses, not an irreducible A-property, but a unique individual essence of a moment of time which can be apprehended only at that time.

Quentin Smith has argued that the new tenseless theory of time is faced with insurmountable problems and should be abandoned in favour of the tensed theory of time. Smith;s main argument attacks the fundamental premise of the tenseless theory: that tenseless truth conditions for tokens of tensed sentences adequately capture the meaning of tensed sentences. His position is that tenseless truth conditions cannot explain the logical relations between tensed sentences, thus the tensed theory must be accepted. Against Smith, this paper adopts an alternative approach to the explanation of the entailment relations between sentences which contain indexicals. The approach drops the reliance upon tokens and instead relies on the evaluation of sentence types with respect to a context rather than upon actual or possible utterances of tokens of the types. This (new) version of the tenseless theory of time can adequately explain the relevant entailment relations between tensed sentences.

If, as the new B-theory of time maintains, tensed sentences have tenseness truth conditions, it follows that it is possible for two sentence-tokens to have the same truth conditions but different meanings. This conclusion forces a rethink of the traditional identification of truth-conditions with meaning. There is an aspect of the meanings of tensed sentences that is not captured by their truth conditions, and that has so far eluded explanation. In this paper I intend to locate, examine, and explain this feature of tensed meaning.

In this paper I consider two strategies for providing tenseless truth-conditions for tensed sentences: the token-reflexive theory and the date theory. Both theories have faced a number of objections by prominent A-theorists such as Quentin Smith and William Lane Craig. Traditionally, these two theories have been viewed as rival methods for providing truth-conditions for tensed sentences. I argue that the debate over whether the token-reflexive theory or the date theory is true has arisen from a failure to distinguish between conditions for the truth of tensed tokens and conditions for the truth of propositions expressed by tensed tokens. I demonstrate that there is a true formulation of the token-reflexive theory that provides necessary and sufficient conditions for the truth of tensed tokens, and there is a true formulation of the date theory that provides necessary and sufficient conditions for the truth of propositions expressed by tensed tokens. I argue that once the views are properly formulated, the A-theorist’s objections fail to make their mark. However, I conclude by claiming that even though there is a true formulation of the token-reflexive theory and a true formulation of the date theory, the New B-theory nonetheless fails to provide a complete account of the truth and falsity of tensed sentences.