Online research in philosophy

A set of axioms implicitly defining the standard, though not instant-based but interval-based, time topology is used as a basis to build a temporal modal logic of events. The whole apparatus contains neither past, present, and future operators nor indexicals, but only B-series relations and modal operators interpreted in the standard way. Determinism and indeterminism are then introduced into the logic of events via corresponding axioms. It is shown that, if determinism and indeterminism are understood in accordance with their core meaning, the way in which they are formally introduced here represents the only right way to do this, given that we restrict ourselves to one real world and make no use of the many real worlds assumption. But then the result is that the very truth conditions for sentences about indeterministic events imply the existence of tensed truths, in spite of the fact that these conditions are formulated (in the indeterministic axiom) in terms of tenseless language. The tenseless theory of time implies determinism, while indeterminism requires the flow of time assumption.

Abstract: A theory of time is a theory of the nature of temporal reality, and temporal reality determines the truth-value of temporal sentences. Therefore it is reasonable to ask how a theory of time can account for the way the truth of temporal sentences is determined. This poses certain challenges for both the A theory and the B theory of time. In this paper, I outline an account of temporal sentences. The key feature of the account is that the primary bearers of truth-values are not utterances, but sentences evaluated with respect to a time. I argue that unlike other views, the present proposal can meet the challenges faced both by the A and the B theory.

This book offers a defense of the tensed theory of time, a critique of the New Theory of Reference, and an argument that simultaneity is absolute. Although Smith rejects ordinary language philosophy, he shows how it is possible to argue from the nature of language to the nature of reality. Specifically, he argues that semantic properties of tensed sentences are best explained by the hypothesis that they ascribe to events temporal properties of futurity, presentness, or pastness and do not merely ascribe relations of earlier than or simultaneity. He criticizes the New Theory of Reference, which holds that "now" refers directly to a time and does not ascribe the property of presentness. Smith does not adopt the old or Fregean theory of reference but develops a third alternative, based on his detailed theory of de re and de dicto propositions and a theory of cognitive significance. He concludes the book with a lengthy critique of Einstein's theory of time. Smith offers a positive argument for absolute simultaneity based on his theory that all propositions exist in time. He shows how Einstein's relativist temporal concepts are reducible to a conjunction of absolutist temporal concepts and relativist nontemporal concepts of the observable behavior of light rays, rigid bodies, and the like.

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.

How should we explain that we can understand new sentences? New sentences are sentences we encounter for the first time, sentences we haven’t used or heard before, and which we in particular haven’t assigned a meaning by fiat. To explain how we can understand new sentences has usually been regarded as an important and non-trivial task. Moreover, it has often been thought that in order to do that, at least in a great majority of new encounters, we need to appeal to the principle of compositionality. The principle of compositionality, in a standard formulation, says.

In response to a recent challenge that the New B-theory of Time argues invalidly from the claim that tensed sentences have tenseless truth conditions to the conclusion that temporal reality is tenseless, I argue that while early B-theorists may have relied on some such inference, New B-theorists do not. Giving tenseless truth conditions for tensed sentences is not intended to prove that temporal reality is tenseless. Rather, it is intended to undermine the A-theorist’s move from claims about the irreducibility of tensed language to the conclusion that temporal reality must be tensed. I then examine how A-theorists have used facts about language in attempting to establish their conclusions about the nature of temporal reality. I take the recent work of William Lane Craig and argue that he implicitly and illicitly moves from facts about temporal language to his conclusion that temporal reality is tensed.

Philosophers have responded to McTaggart’s famous argument for the unreality of time in a variety of ways. Some of those responses are not easy to evaluate, since they involve, for example, sometimes murky questions concerning whether a certain infinite regress is or is not vicious. In this paper I set out a response that has not, I think, been advanced by any other author, and which, if successful, is absolutely clear-cut. The basic idea is simply that a tensed approach to time can avoid McTaggart’s contradiction, and can also avoid any regress, vicious or otherwise, by specifying the times at which events have different tensed properties in a tenseless fashion — namely, by using dates. This answer to McTaggart’s argument is, however, open to four important objections. The first objection is that my answer to the second part of McTaggart’s argument is incompatible with something that McTaggart takes himself to have proved in the first part of his argument — the claim, namely, that “there can be no change unless some propositions are sometimes true and sometimes false.” The second objection is that the sentences that I claim can be used to specify when an event has a given tensed property do not in fact do so, since they turn out to be purely tenseless sentences. The third objection is that the sentences in question make use of tenseless verbs, and that it is not in fact possible to make sense of such verbs. The fourth and final objection is that it is not really possible to specify, in tenseless terms, when an event has a given tensed property, since dates have to be analyzed using the relation of temporal priority, and that relation, in turn, must be analyzed in terms of the tensed properties of pastness, presentness and futurity, so that the purportedly tenseless specification is implicitly tensed. I argue, however, that none of these four objections can be sustained.

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.

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.