This paper investigates the kind of empiricism combined with an operationalist perspective that, in the first decades of our Century, gave rise to a turning point in theoretical physics and in probability theory. While quantum mechanics was taking shape, the classical (Laplacian) interpretation of probability gave way to two divergent perspectives: frequentism and subjectivism. Frequentism gained wide acceptance among theoretical physicists. Subjectivism, on the other hand, was never held to be a serious candidate for application to physical theories, despite the (...) fact that its philosophical back-ground strongly resembles that underlying quantum mechanics, at least according to the Copenhagen interpretation. The reasons for this are explored. (shrink)

in Undetermined Table d’Hôte Ingar Brinck: Investigating the development of creativity: The Sahlin hypothesis 7 Linus Broström: Known unknowns and proto-second-personal address in photographic art 25 Johan Brännmark: Critical moral thinking without moral theory 33 Martin Edman: Vad är ett missförhållande? 43 Pascal Engel: Rambling on the value of truth 51 Peter Gärdenfors: Ambiguity in decision making and the fear of being fooled 75 Göran Hermerén: NIPT: Ethical aspects 89 Mats Johansson: Roboethics: What problems should be addressed and why? 103 (...) Johan Laserna: Ambivalenta bilder 113 Anna-Sofia Maurin: Metaphysical explanation 161 Kevin Mulligan: Is preference primitive? 169 John D. Norton: How does your garden grow? 181 Johannes Persson & Annika Wallin: The distinction between internal and external validity 187 Johanna Seibt: Becoming our selves 197 Paul Slovic, Robin Gregory, David Frank, and Daniel Vastfjall: Confronting the collapse of humanitarian values in foreignpolicy decision making 209 Peter Sylwan: Det eviga livet 215 Claudine Tiercelin: Chance, love and logic: Ramsey and Peirce on norms, rationality and the conduct of life 221 Epilog 257 Frank Ramsey. (shrink)

In his “The Foundations of Mathematics”, Ramsey attempted to marry the Tractarian idea that all logical truths are tautologies and vice versa, and the logicism of the Principia. In order to complete his project, Ramsey was forced to introduce propositional functions in extension (PFEs): given Ramsey's definitions of 1 and 2, without PFEs even the quantifier-free arithmetical truth that 1 ≠ 2 is not a tautology. However, a number of commentators have argued that the notion of PFEs is incoherent. This (...) response was first given by Wittgenstein but has been best developed by Sullivan. While I agree with Wittgenstein and Sullivan's common conclusion, I believe that even the most compelling of Sullivan's arguments is importantly mistaken and that Wittgenstein's remarks are too opaque to be left as the end of the matter. In this article I uncover the fault in Sullivan's argument and present an alternative criticism of PFEs which is Wittgensteinian in spirit without being too mystifying. (shrink)

Harold Jeffreys' ideas on the interpretation of probability and epistemology are reviewed. It is argued that with regard to the interpretation of probability, Jeffreys embraces a version of logicism that shares some features of the subjectivism of Ramsey and de Finetti. Jeffreys also developed a probabilistic epistemology, characterized by a pragmatical and constructivist attitude towards notions such as ‘objectivity’, ‘reality’ and ‘causality’. 1 Introductory remarks 2 The interpretation of probability 3 Jeffreys' probabilistic epistemology.

One of the central logical ideas in Wittgenstein’sTractatus logico-philosophicusis the elimination of the identity sign in favor of the so-called “exclusive interpretation” of names and quantifiers requiring different names to refer to different objects and (roughly) different variables to take different values. In this paper, we examine a recent development of these ideas in papers by Kai Wehmeier. We diagnose two main problems of Wehmeier’s account, the first concerning the treatment of individual constants, the second concerning so-called “pseudo-propositions” (Scheinsätze) of (...) classical logic such as$a=a$or$a=b \wedge b=c \rightarrow a=c$. We argue that overcoming these problems requires two fairly drastic departures from Wehmeier’s account: (1) Not every formula of classical first-order logic will be translatable into asingleformula of Wittgenstein’s exclusive notation. Instead, there will often be a multiplicity of possible translations, revealing the original “inclusive” formulas to beambiguous. (2) Certain formulas of first-order logic such as$a=a$will not be translatable into Wittgenstein’s notation at all, being thereby revealed as nonsensical pseudo-propositions which should be excluded from a “correct” conceptual notation. We provide translation procedures from inclusive quantifier-free logic into the exclusive notation that take these modifications into account and define a notion of logical equivalence suitable for assessing these translations. (shrink)

In this paper, elementary but hitherto overlooked connections are established between Wittgenstein's remarks on mathematics, written during his transitional period, and free-variable finitism. After giving a brief description of theTractatus Logico-Philosophicus on quantifiers and generality, I present in the first section Wittgenstein's rejection of quantification theory and his account of general arithmetical propositions, to use modern jargon, as claims (as opposed to statements). As in Skolem's primitive recursive arithmetic and Goodstein's equational calculus, Wittgenstein represented generality by the use of free (...) variables. This has the effect that negation of unbounded universal and existential propositions cannot be expressed. This is claimed in the second section to be the basis for Wittgenstein's criticism of the universal validity of the law of excluded middle. In the last section, there is a brief discussion of Wittgenstein's remarks on real numbers. These show a preference, in line with finitism, for a recursive version of the continuum. (shrink)

For C.S. Peirce, who had a well‐known influence on many aspects of Ramsey's thought, pragmatism was viewed as inseparable from realism. The aim of this paper is to challenge the view according to which Ramsey's reflexions on universals are of a mere linguistic and logical nature. Not only is this view controversial, but it may be argued that some elements in Ramsey's analyses suggest a possibly realist answer to the problem of universals. By drawing comparisons with Peirce's own position, it (...) is suggested that Ramsey's views might not be inconsistent with many aspects of Peirce's scholastic and even Scotistic version of realism. (shrink)

For C.S. Peirce, who had a well‐known influence on many aspects of Ramsey's thought, pragmatism was viewed as inseparable from realism. The aim of this paper is to challenge the view according to which Ramsey's reflexions on universals are of a mere linguistic and logical nature. Not only is this view controversial, but it may be argued that some elements in Ramsey's analyses suggest a possibly realist answer to the problem of universals. By drawing comparisons with Peirce's own position, it (...) is suggested that Ramsey's views might not be inconsistent with many aspects of Peirce's scholastic and even Scotistic version of realism. (shrink)

According to a widespread interpretation, in the Investigations Wittgenstein adopted a deflationary or redundancy theory of truth. On this view, Wittgenstein’s pronouncements about truth should be understood in the light of his invocation of the equivalences ‘p’ is true = p and ‘p’ is false = not p. This paper shows that this interpretation does not do justice to Wittgenstein’s thoughts. I will be claiming that, in fact, in his second book Wittgenstein is returning to the pre-Tractarian notion of bipolarity, (...) and that his new development of this notion in the Investigations excludes the redundancy-deflationary reading. Wittgenstein’s thoughts about truth are instead compatible with another interpretative option: Wittgenstein remains faithful to his methodological pronouncements, and he merely presents us with platitudes about the notions of “true” and “false”. (shrink)