Online research in philosophy

Wittgenstein, in the Tractatus, conceives the world as ‘the totality of facts’. Type-stratification threatens that conception : the totality of facts is an obvious example of an illegitimate totality. Wittgenstein’s notion of truthoperation evidently has some role to play in avoiding that threat, allowing propositions, and so facts, to constitute a single type. The paper seeks to explain that role in a way that integrates the ‘philosophical’ and ‘technical’ pressures on the notion of an operation.

In his Truth and Probability (1926), Frank Ramsey provides foundations for measures of degrees of belief in propositions and preferences for worlds. Nonquantitative conditions on preferences for worlds, and gambles for worlds and certain near-worlds, are formulated which he says insure that a subject's preferences for worlds are represented by numbers, world values. Numbers, for his degrees of belief in propositions, probabilities, are then defined in terms of his world values. Ramsey does not also propose definitions of desirabilities for propositions, though he is in a position to do this. Given his measures for probabilities of propositions and values of worlds, he can frame natural definitions for both evidential and causal desirabilities that would measure respectively the welcomeness of propositions as items of news, and as facts. His theory is neutral with respect to the evidential/causal division. In the present paper, as Ramsey's foundations are explained, several problems and limitations are noted. Their distinctive virtue – their evidential/causal neutrality – is demonstrated. Comparisons are made with other foundational schemes, and a perspective is recommended from which nonquantitative foundations are not the be all for quantitative theories of ideal preferences and credences.

Since 1969, when Bas van Fraassen wrote 'Facts and Tautological Entailments', it has been assumed that if facts, or states of affairs, exist at all, they can only play the role of truthmakers for propositions if the truthmaker relation is defined in a relevantist revision of classical logic. Greg Restall revived this notion in 1996, and it has since been discussed positively by Stephen Read. I argue in this paper that this was always a mistake. The truthmaking relation between facts and propositions can indeed be made sense of-but no relevantist revision of classical logic is required. The correspondence theory of truth can thus be shown to have been essentially correct all along.

Substantial facts (or states of affairs ) are not well-understood entities. Many philosophers object to their existence on this basis. Yet facts, if they can be understood, promise to do a lot of philosophical work: they can be used to construct theories of property possession and truthmaking, for example. Here, I give a formal theory of facts, including negative and logically complex facts. I provide a theory of reduction similar to that of the typed λ -calculus and use it to provide identity conditions for facts. This theory validates truthmaker maximalism : it provides truthmakers for all truths. I then show how the usual truth-in-a-model relation can be replaced by two relations: one between models and facts, saying that a given fact obtains relative to the model, and the other between facts and propositions: the truthmaking relation.

Frege famously argued that truth is not a property or relation. In the “Notes on Logic” Wittgenstein emphasised the bi-polarity of propositions which he called their sense. He argued that “propositions by virtue of sense cannot have predicates or relations.” This led to his fundamental thought that the logical constants do not represent predicates or relations. The idea, however, has wider ramifications than that. It is not just that propositions cannot have relations to other propositions but also that they cannot have relations to anything at all. The paper explores the consequences of this insight for the way in which we should read the Tractatus. In the “Notes on Logic” the insight led to Wittgenstein's emphasis on “facts” in any attempt to understand the nature of symbolism. This emphasis is continued in the Tractatus. It is central to his view that propositions are facts which picture facts which prevent us from construing such picturing as a relation between what pictures and what is pictured. It illuminates the importance of context principle with regard to the distinction between showing and saying to which Wittgenstein attached so much importance and it underlies the non-relational view of psychological propositions which he advocates. Finally, if propositions by virtue of sense cannot have predicates or relations the paradox at the end of a work which consist largely of propositions about propositions becomes intelligible.

In his late paper ‘General Propositions and Causality’, Ramsey argues that unrestricted universal generalisations such as ‘All men are mortal’ are not genuine propositions.1 About this, as about much else in that paper, Ramsey had recently changed his mind. A few years earlier, both in ‘Facts and Propositions’ and in ‘Mathematical Logic’, he had argued that such generalisations are equivalent to infinite conjunctions.2 But by 1929 his ideas about infinity had changed, and it was concerns about the infinite character of unrestricted generalisations which led him to his new view.

First of all, this paper aims at a clarification of Wittgenstein's conception of grammatical propositions. Their essential characteristics will be developed and some of the central questions concerning their status will be discussed: Should grammatical propositions be seen as arbitrary conventions? How do they work in practices? And how do they relate to natural facts? Later on, the two propositions "Every rod has a length" and "Sensations are private" will be discussed in more detail, for both fulfil three important features of grammatical propositions: They are not empirical descriptions, they are rules of a practice, and they are not knowledge-claims but express insights. Focussing on the grammar of pain language, it will be shown what kind of interdependency exists between grammar and natural facts. It will also turn out that some grammatical propositions are closely connected to our understanding of living a human form of life.

What are reasons? For example, if you’re aware that your secretary plans to expose you, and you resign to avoid a scandal, what is your reason for resigning? Is your reason the fact that your secretary plans to expose you? If so, what kinds of facts are eligible to be reasons? Can merely possible facts be reasons (for actual subjects)? Can merely apparent facts? Or are reasons rather attitudes? Are your reasons for resigning your belief that your secretary plans to expose you, and your desire to avoid a scandal? Or are reasons propositions? If so, which propositions? Only propositions that the subject believes and desires? Only propositions that are true? (On some views, those will be facts; on other views, not.).