Saturday, April 04, 2020

A-theory and B-theory of time: An error in reasoning

In any event, the new tenseless theory concedes that the old theory fails, but denies that this gives any support to the A-theory. According to the new theory, though the meaning of a tensed sentence is not captured by a tenseless sentence, its truth conditions are nevertheless captured by the latter. (Edward Feser, Aristotle's Revenge, p. 241)

However, this approach too faces grave problems (Craig 200a, Chapter 3; Craig 2001, pp. 119-29). One such problem is logical. Supposed that Bob and Fred each utter a token or instance of the sentence “Socrates drank hemlock.” Let’s label Bob’s utterance of the sentence B, and Fred’s utterance of the sentence F. According to the new tenseless theory, B is logically equivalent to the sentence “Socrates is drinking hemlock earlier than B,” which gives B’s truth conditions. Similarly, F is logically equivalent to the sentence “Socrates is drinking hemlock earlier than F,” which gives G’s truth conditions. Now, B and F are also logically equivalent to each other. In other words, what Bob says when he says “Socrates drank hemlock” is true if and only if what Fred says when he says “Socrates drank hemlock” is also true. So, the sentences “Socrates is drinking hemlock earlier than B” and “Socrates is drinking hemlock earlier than F,” since they are logically equivalent to B and F respectively, should be logically equivalent to each other as well. However, they are not logically equivalent, because it could have turned out that Bob uttered his sentence while Fred did not, or vice versa. So, the new tenseless theory’s analysis fails. (p. 241)

The "new tenseless theory" propped up by B-theorists in the philosophy of time asserts that the truth conditions of a converted tenseless sentence if equivalent to the truth conditions of a "normal" tensed sentence. Feser, as an advocate for a traditional understanding of time (A--theory presentism), rejects that tensed sentences can be so converted into tenseless sentences. At this moment, I am not taking a stand on A- or B-theories of time, but just to note whether Feser has proven his case.

With regards to the "new tenseless theory," Feser asserts that if the same sentence ("Socrates drank hemlock") is said separately by Bod and Fred, their two utterances if converted into tenseless sentences would not have the same truth conditions and therefore are not equivalent to each other, thus the new tenseless theory is false. However, did Feser adequately present that theory? It does not seem to me to be the case. Feser converted Bob's utterance to "Socrates is drinking hemlock earlier than B," where "B" is the act of utterance. However, is that the correct way to render Bob's utterance into a tenseless sentence? I would suggest not.

When Bob utter "Socrates drank hemlock," he was stating that, from his vantage point at his time and space, Socrates' act of drinking hemlock was in the past. The sentence "Socrates is drinking hemlock earlier than B" however suggests something different, in that Bob was being self-reflective in his thought and uttered something like "Socrates drank hemlock earlier than this utterance of mine." In other words, the problem with Feser's argument against the "new tenseless theory" is that he did not properly render the utterance tenseless. Rather, the proper tenseless rendering of Bob's utterance is "Socrates is drinking Hemlock earlier than December 1st, 1999," assuming Bob had uttered that sentence in the date of December 1st, 1999.

Such a way of rendering propositions tenseless would render Feser's argument moot. Whether it is adequate to render tensed sentences into tenseless sentences is a separate question which I am still mulling over, but at least on this point, Feser's argument against tenseless sentences is singularly unconvincing.

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