We show how to extend any finite probability space into another finite one which satisfies the conditional construal of conditional probability for the original propositions, given some maximal allowed degree of nesting of the conditional. This mitigates the force of the well-known triviality results.

The Operator Argument against eternalism holds that having non-vacuous tense operators in the language is incompatible with the claim that every proposition has its truth-value eternally. Assuming that (1) there are non-vacuous tense operators, (2) tense operators operate on propositions and (3) tense operators which operate on eternal entities are vacuous, it may be argued that eternalism is false. In this paper, I examine the Operator Argument. The goal is threefold. First, I want to present some aspects of the debate (...) in a more elaborate way, especially those concerning formal matters. Secondly, I will argue that eternalism can escape the Operator Argument. There are two main strategies for handling the Operator Argument. The first one is based on replacing temporal operators with object-language quantifiers. The second rejects the identification of compositional semantic value with assertoric content. My third goal is to show that none of them is as good as the strategy that adopts Timestamp Semantics (Fritz in Philosl Stud 176:2933–2959, 2019). I am going to argue that the quantificational treatment of tenses is compatible with temporalism and that the arguments for rejecting the identification of compositional semantic value with assertoric content provide, in fact, a motivation for the temporalist position. At the end, I will develop Timestamp Semantics by providing a novel formalization of it, and defend it against three potential counter-arguments. (shrink)

One of the most widely discussed philosophical issues is the problem of future contingents. Basically, the challenge is to create an adequate semantic theory of future-tensed sentences. Twardowski (1900) suggests that future contingent statements should be analyzed using the concept of probability. The aim of this paper is to show that (1) such an analysis is not appropriate and (2) that Twardowski’s main theses imply the Thin Red Line Theory. I discuss three potential arguments against my proposal and sketch the (...) connection with Schaffer’s Parallelism Thesis (2012). (shrink)

Paweł Rojek, Tropy i uniwersalia. Badania ontologiczne, Wydawnictwo Naukowe Semper, Warszawa 2019.