scholarly journals The semantics of indicative conditionals: A counterexample to the horseshoe analysis

2012 ◽  
Vol 55 (2) ◽  
pp. 53-62
Author(s):  
Dusko Prelevic

The paper examines a counterexample of the horseshoe analysis of indicative conditionals (according to which indicative conditionals ??? have the same truth-conditions as the material implication ???). The example is a modified and improved version of Jason Decker?s ?playground conditionals? case. The paper aims to show why Decker?s original example is wrong, and how it can be improved by using the inverted spectrum thought experiment. It is also shown in this paper that playground conditionals do not pose any problems to the epistemic version of the two-dimensional semantics (E2-D), which leads to the conclusion that we should prefer E2-D to the horseshoe analysis of indicative conditionals. [Projekat Ministarstva nauke Republike Srbije, br. 179067: Logicko-epistemoloski osnovi nauke i metafizike].

Author(s):  
Angelika Kratzer

The chapter looks at indicative conditionals embedded under quantifiers, with a special emphasis on ‘one-case’ conditionals as in No query was answered if it came from a doubtful address. It agrees with earlier assessments that a complete conditional (with antecedent and consequent) is embedded under a quantifier in those constructions, but then proceeds to create a dilemma by showing that we can’t always find the right interpretation for that conditional. Contrary to earlier assessments, Stalnaker’s conditional won’t always do. The chapter concludes that the embedded conditional in the sentence above is a material implication, but the if-clause also plays a pragmatic role in restricting the domain of the embedding quantifier. That an appeal to pragmatics should be necessary at all goes with Edgington’s verdict that ‘we do not have a satisfactory general account of sentences with conditional constituents’.


Author(s):  
David J. Chalmers

Two-dimensional approaches to semantics, broadly understood, recognize two ‘dimensions’ of the meaning or content of linguistic items. On these approaches, expressions and their utterances are associated with two different sorts of semantic values, which play different explanatory roles. Typically, one semantic value is associated with reference and ordinary truth-conditions, while the other is associated with the way that reference and truth-conditions depend on the external world. The second sort of semantic value is often held to play a distinctive role in analyzing matters of cognitive significance and/or context-dependence. In this broad sense, even Frege's theory of sense and reference might qualify as a sort of two-dimensional approach.


Author(s):  
Roger F. Gibson

Radical translation is the setting of a thought experiment conceived by W.V. Quine in the late 1950s. In that setting a linguist undertakes to translate into English some hitherto unknown language – one which is neither historically nor culturally linked to any known language. It is further supposed that the linguist has no access to bilinguals versed in the two languages, English and (what Quine called) ‘Jungle’. Thus, the only empirical data the linguist has to go on in constructing a ‘Jungle-to-English’ translation manual are instances of the native speakers’ behaviour in publicly recognizable circumstances. Reflecting upon the fragmentary nature of these data, Quine draws the following conclusions: - It is very likely that the theoretical sentences of ‘Jungle’ can be translated as wholes into English in incompatible yet equally acceptable ways. In other words, translation of theoretical sentences is indeterminate. On the assumption that a sentence and its translation share the same meaning, the import of indeterminacy of translation is indeterminacy of meaning: the meanings of theoretical sentences of natural languages are not fixed by empirical data. The fact is, the radical translator is bound to impose about as much meaning as they discover. This result (together with the dictum ‘no entity without identity’) undermines the idea that propositions are meanings of sentences. - Neither the question of which ‘Jungle’ expressions are to count as terms nor the question of what object(s), if any, a ‘Jungle’ term refers to can be answered by appealing merely to the empirical data. In short, the empirical data do not fix reference. The idea of radical interpretation was developed by Donald Davidson in the 1960s and 1970s as a modification and extension of Quine’s idea of radical translation. Quine is concerned with the extent to which empirical data determine the meanings of sentences of a natural language. In the setting of radical interpretation, Davidson is concerned with a different question, the question of what a person could know that would enable them to interpret another’s language. For example, what could one know that would enable the interpretation of the German sentence ‘Es regnet’ as meaning that it is raining? The knowledge required for interpretation differs from the knowledge required for translation, for one could know that ‘Es regnet’ is translated as ‘Il pleut’ without knowing the meaning (the interpretation) of either sentence. Beginning with the knowledge that the native speaker holds certain sentences true when in certain publicly recognizable circumstances, Davidson’s radical interpreter strives to understand the meanings of those sentences. Davidson argues that this scenario reveals that interpretation centres on one’s having knowledge comparable to an empirically verified, finitely based, recursive specification of the truth-conditions for an infinity of sentences – a Tarski-like truth theory. Thus, Quine’s radical translation and Davidson’s radical interpretation should not be regarded as competitors, for although the methodologies employed in the two contexts are similar, the two contexts are designed to answer different questions. Moreover, interpretation is broader than translation; sentences that cannot be translated can still be interpreted.


2021 ◽  
pp. 1-26
Author(s):  
Robert Van Rooij ◽  
Patricia Mirabile

The inferences of contraposition (A ⇒ C ∴ ¬C ⇒ ¬A), the hypothetical syllogism (A ⇒ B, B ⇒ C ∴ A ⇒ C), and others are widely seen as unacceptable for counterfactual conditionals. Adams convincingly argued, however, that these inferences are unacceptable for indicative conditionals as well. He argued that an indicative conditional of form A ⇒ C has assertability conditions instead of truth conditions, and that their assertability ‘goes with’ the conditional probability p(C|A). To account for inferences, Adams developed the notion of probabilistic entailment as an extension of classical entailment. This combined approach (correctly) predicts that contraposition and the hypothetical syllogism are invalid inferences. Perhaps less well-known, however, is that the approach also predicts that the unconditional counterparts of these inferences, e.g., modus tollens (A ⇒ C, ¬C ∴ ¬A), and iterated modus ponens (A ⇒ B, B ⇒ C, A ∴ C) are predicted to be valid. We will argue both by example and by calling to the results from a behavioral experiment (N = 159) that these latter predictions are incorrect if the unconditional premises in these inferences are seen as new information. Then we will discuss Adams’ (1998) dynamic probabilistic entailment relation, and argue that it is problematic. Finally, it will be shown how his dynamic entailment relation can be improved such that the incongruence predicted by Adams’ original system concerning conditionals and their unconditional counterparts are overcome. Finally, it will be argued that the idea behind this new notion of entailment is of more general relevance.


Author(s):  
Ian Rumfitt

This chapter assesses the prospects of a pragmatist theory of content. It begins by criticizing the theory presented in D. H. Mellor’s essay ‘Successful Semantics’, then identifies problems and lacunae in the pragmatist theory of meaning sketched in chapter 13 of Dummett’s The Logical Basis of Metaphysics. It contends that the prospects are brighter for a tempered pragmatism, in which the theory of content is permitted to draw upon irreducible notions of truth and falsity. It sketches the shape of such a theory and illustrates the role of its pragmatist elements by showing how they point towards a promising account of the truth conditions of indicative conditionals. A feature of the account is that it validates Modus Ponens whilst invalidating Modus Tollens.


Author(s):  
Paul Égré ◽  
Lorenzo Rossi ◽  
Jan Sprenger

AbstractIn Part I of this paper, we identified and compared various schemes for trivalent truth conditions for indicative conditionals, most notably the proposals by de Finetti (1936) and Reichenbach (1935, 1944) on the one hand, and by Cooper (Inquiry, 11, 295–320, 1968) and Cantwell (Notre Dame Journal of Formal Logic, 49, 245–260, 2008) on the other. Here we provide the proof theory for the resulting logics and , using tableau calculi and sequent calculi, and proving soundness and completeness results. Then we turn to the algebraic semantics, where both logics have substantive limitations: allows for algebraic completeness, but not for the construction of a canonical model, while fails the construction of a Lindenbaum-Tarski algebra. With these results in mind, we draw up the balance and sketch future research projects.


2021 ◽  
Vol 34 (4) ◽  
pp. 578-581
Author(s):  
Emory Taylor

In 1915, Einstein published general relativity. In 1916, he published a German language book about relativity, which contained his marble table thought experiment for explaining a continuum. Without realizing it, Einstein introduced a quantized two-dimensional discontinuum geometry and inadvertently falsified the marble table thought experiment continuum, which falsified relativity. The foundations of physics do not now (and never did) include a fundamentally sound relativistic theory to account for macroscopic phenomena. It is well known the success of relativity and its singularity problem indicate general relativity is a first approximation of a more fundamental theory. Combine that indication with the falsification of relativity and it is apparent, without speculation, that relativity is now and always was a first approximation of a more fundamental theory. A possible way forward to the more fundamental theory is developing a discontinuum physics based on the quantized two-dimensional discontinuum geometry or an algebraic version of it. Such discontinuum physics is not presented, because it is beyond the scope of this paper.


2005 ◽  
Vol 14 (08) ◽  
pp. 1321-1331 ◽  
Author(s):  
XIAN-HUI GE ◽  
YOU-GEN SHEN

Quantum non-cloning theorem and a thought experiment are discussed for charged black holes whose global structure exhibits an event and a Cauchy horizon. We take Reissner–Norström black holes and two-dimensional dilaton black holes as concrete examples. The results show that the quantum non-cloning theorem and the black hole complementarity are far from consistent inside the inner horizon. The relevance of this work to non-local measurements is briefly discussed.


2017 ◽  
Vol 175 (8) ◽  
pp. 1963-1983
Author(s):  
Richard Montgomery

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