A psychological study of unconnected conditionals

Unconnected conditionals, also called irrelevant conditionals, are sentences of form if A, C, whose antecedent and consequent bear no connection. According to the main theories of conditional reasoning, the truth or high probability of an antecedent and a consequent is sufficient to make true or highly probable the corresponding conditional. We tested this assumption and showed that it does not hold for unconnected conditionals. Furthermore, we investigated experimentally the factors which favour the endorsement of irrelevant conditional constructions and found that this rate increases when an analogy can be built between the antecedent and the consequent or when the conditional is asserted before its components.     

Conditionals and inferential connections: toward a new semantics*

Abstract

In previous published research (“Conditionals and Inferential Connections: A Hypothetical Inferential Theory,” Cognitive Psychology, 2018), we investigated experimentally what role the presence and strength of an inferential connection between a conditional’s antecedent and consequent plays in how people process that conditional. Our analysis showed the strength of that connection to be strongly predictive of whether participants evaluated the conditional as true, false, or neither true nor false. In this article, we re-analyse the data from our previous research, now focussing on the semantics of conditionals rather than on how they are processed. Specifically, we use those data to compare the main extant semantics with each other and with inferentialism, a semantics according to which the truth of a conditional requires the presence of an inferential connection between the conditional’s component parts.     

Stoic strategies in Origen’sOn Prayer

In his treatiseOn Prayer Origen raises and answers four objections against prayer. In this essay I examine the Stoic strategies to which Origen appeals in his attempt to answer them. His defense of the claim that providence and prayer are compatible assumes a standard account of freedom and human agency common among the Stoics of his time. In addition to appealing to the standard compatibilist view of human agency found in the Stoics, Origen’s presentation and response to these questions turns out to be reminiscent of Stoic attempts to resolve those thorny issues surrounding fate presented in the so-called ‘Idle Argument’.     

Formal Logic vs. Philosophical Argument

The wider topic to which the content of this paper belongs is that of the relationship between formal logic and real argumentation. Of particular potential interest in this connection are held to be substantive arguments constructed by philosophers reputed equally as authorities in logical theory. A number of characteristics are tentatively indicated by the author as likely to be encountered in such arguments. The discussion centers afterwards, by way of specification, on a remarkable piece of argument quoted in Cicero’s dialog On Divination and ascribed to Stoic thinkers. The Stoics’ formal theory of inference is summarily referred to in this context, with special emphasis on their basic deductive schemata (‘indemonstrables’), some of them recognizable as links in the overall structure of the quoted argument. The main lines of Cicero’s criticism of the Stoic argument are next commented upon, with emphasis on his implied view as to the requirements of a good argument. Towards the end of the paper, a few considerations are added on the changes in the prevailing style of argumentation conspicuous in the three famous Roman Stoics.     

Zur Miete bei Frege – Rudolf Hirzel und die Rezeption der stoischen Logik und Semantik in Jena

It has been noted before in the history of logic that some of Frege's logical and semantic views were anticipated in Stoicism. In particular, there seems to be a parallel between Frege's Gedanke (thought) and Stoic lekton; and the distinction between complete and incomplete lekta has an equivalent in Frege's logic. However, nobody has so far claimed that Frege was actually influenced by Stoic logic; and there has until now been no indication of such a causal connection. In this essay, we attempt, for the first time, to provide detailed evidence for the existence of this connection. In the course of our argumentation, further analogies between the positions of Frege and the Stoics will be revealed. The classical philologist Rudolf Hirzel will be brought into play as the one who links Frege with Stoicism. The renowned expert on Stoic philosophy was Frege's tenant and lived in the same house as the logician for many years.

In der Geschichte der Logik ist häufig bemerkt worden, dass einige der logischen und semantischen Auffassungen Freges in der Stoa antizipiert worden sind. Genannt wurden insbesondere die Parallelen zwischen dem Fregeschen Gedanken und dem stoischen Lekton sowie die Unterscheidung zwischen vollständigen und unvollständigen Lekta, die bei Frege ihre Entsprechung hat. Ein Wirkungszusammenhang ist allerdings nicht behauptet worden. Dazu gab es bislang auch keinen Anlass. Der vorliegende Beitrag versucht erstmalig, einen detaillierten Indizienbeweis für das Bestehen eines solchen Zusammenhangs vorzulegen. Dabei werden weitere charakteristische Übereinstimmungen zwischen Frege und der Stoa aufgewiesen. Als Mittelsmann wird der Altphilologe Rudolf Hirzel vorgestellt. Er wohnte lange Jahre als Mieter zusammen mit Frege im selben Haus und war ein anerkannter Experte der stoischen Philosophie.     

Chrysippus Confronts the Liar: The Case for Stoic Cassationism

The Stoic philosopher Chrysippus wrote extensively on the liar paradox, but unfortunately the extant testimony on his response to the paradox is meager and mainly hostile. Modern scholars, beginning with Alexander Rüstow in the first decade of the twentieth century, have attempted to reconstruct Chrysippus’ solution. Rüstow argued that Chrysippus advanced a cassationist solution, that is, one in which sentences such as ‘I am speaking falsely’ do not express propositions. Two more recent scholars, Walter Cavini and Mario Mignucci, have rejected Rüstow's thesis that Chrysippus used a cassationist approach. Each has proposed his own thesis about Chrysippus’ solution. I argue that Rüstow's view is fundamentally correct, and that the cassationist thesis gains greater plausibility when viewed in light of a passage in Sextus Empiricus’ Adversus mathematicos that the previous commentators have ignored, and when understood within the broader context of Stoic logical theory and philosophy of language. I close with a brief remark on the significance of Chrysippus’ work for the modern debate on the semantic paradoxes.     

Epicureans and Stoics on the Rationality of Perception

This paper examines an ancient debate over the rationality of perception. What leads the Stoics to affirm, and the Epicureans to deny, that to form a sense-impression is an activity of reason? The answer, we argue, lies in a disagreement over what is required for epistemic success. For the Stoics, epistemic success consists in believing the right propositions, and only rational states, in virtue of their predicational structure, put us in touch with propositions. Since they identify some sense-impressions as criteria of truth and thus as the basis for epistemic success, the Stoics maintain that sense-impressions must be rational. The Epicureans agree with the Stoics that sense-impressions function as criteria of truth, and also agree broadly on what it means for a state to be rational, but deny that sense-impressions are rational because (1) they think that epistemic success must be supported by a state that is necessarily error-free and (2) accept that rational states can be false. In reconstructing this debate, we refine the standard interpretation of the fundamental difference between Epicurean and Stoic epistemology and also develop parallels with epistemological debates today. One upshot is a more nuanced appreciation of the merits of Epicurean epistemology vis-à-vis the Stoics.     

Stoic pantheism

This essay argues the Stoics are rightly regarded as pantheists. Their view differs from many forms of pantheism by accepting the notion of a personal god who exercises divine providence. Moreover, Stoic pantheism is utterly inimical to a deep ecology ethic. I argue that these features are nonetheless consistent with the claim that they are pantheists. The essay also considers the arguments offered by the Stoics. They thought that their pantheistic conclusion was an extension of the best science of their day. Some of their most interesting arguments are thusa posteriori     

CONSENT,CONVERSION, AND MORAL FORMATION: Stoic Elements in Jonathan Edwards's Ethics

The contemporary revival of virtue ethics has focused primarily on retrieving central moral commitments of Aristotle, Thomas Aquinas, and the Neoplatonist traditions. Christian virtue ethicists would do well to expand this retrieval further to include the writings of the Roman Stoics. This essay argues that the ethics of Jonathan Edwards exemplifies major Stoic themes and explores three noteworthy points of intersection between Stoic ethics and Edwards's thought: a conception of virtue as consent to a benevolent providence, the identification of virtue as a singular and transformative good, and an account of moral formation as simultaneously self‐directed and received. Common ground between Edwards and the Stoics illustrates the value of recognizing Stoic moral thought as a philosophical framework that can enhance and undergird Christian ethicists' understandings of moral development and the nature of virtue.     

Kaufmann on the Probabilities of Conditionals

Kaufmann has recently argued that the thesis according to which the probability of an indicative conditional equals the conditional probability of the consequent given the antecedent under certain specifiable circumstances deviates from intuition. He presents a method for calculating the probability of a conditional that does seem to give the intuitively correct result under those circumstances. However, the present paper shows that Kaufmann’s method is inconsistent in that it may lead one to assign different probabilities to a single conditional at the same time.     

Conditionals As Representative Inferences

According to Adams (Inquiry 8:166–197, 1965), the acceptability of an indicative conditional goes with the conditional probability of the consequent given the antecedent. However, some conditionals seem to be inappropriate, although their corresponding conditional probability is high. These are cases with a missing link between antecedent and consequent. Other conditionals are appropriate even though the conditional probability is low. Finally, we have the so-called biscuit conditionals. In this paper we will generalize analyses of Douven (Synthese 164:19–44, 2008) and others to account for the appropriateness of conditionals in terms of evidential support. Our generalization involves making use of Value, or intensity. We will show how this generalization helps to account for biscuit conditionals and conditional threats and promises. Finally, a link is established between this analysis of conditionals and an analysis of generic sentences.

     

Conditionals,Context, and the Suppression Effect

Modus ponens is the argument from premises of the form If A, then B and A to the conclusion B (e.g., from If it rained, Alicia got wet and It rained to Alicia got wet). Nearly all participants agree that the modus ponens conclusion logically follows when the argument appears in this Basic form. However, adding a further premise (e.g., If she forgot her umbrella, Alicia got wet) can lower participants’ rate of agreement—an effect called suppression. We propose a theory of suppression that draws on contemporary ideas about conditional sentences in linguistics and philosophy. Semantically, the theory assumes that people interpret an indicative conditional as a context‐sensitive strict conditional: true if and only if its consequent is true in each of a contextually determined set of situations in which its antecedent is true. Pragmatically, the theory claims that context changes in response to new assertions, including new conditional premises. Thus, the conclusion of a modus ponens argument may no longer be accepted in the changed context. Psychologically, the theory describes people as capable of reasoning about broad classes of possible situations, ordered by typicality, without having to reason about individual possible worlds. The theory accounts for the main suppression phenomena, and it generates some novel predictions that new experiments confirm.     

loneliness and belonging: is stoic cosmopolitanism still defensible ?

In view of recent articles citing the Stoics as a defence or refutation of cosmopolitanism it is legitimate to ask whether the Stoics did in fact have an argument for cosmopolitanism which may be useful to contemporary political philosophers. I begin by discussing an interpretation of Stoic views on cosmopolitanism by Martha Nussbaum and A.A. Long and show that the arguments they attribute to the Stoics are not tenable in the light of present day philosophy. I then argue that the Stoics did offer a very different argument for cosmopolitanism which is both more interesting and more plausible in that it draws on a conception of human nature similar to Aristotles and contemporary virtue ethics. Lastly I consider an objection made to their particular brand of cosmopolitanism by Martha Nussbaum, namely that a Stoic cosmopolitan life is devoid of personal affiliation and therefore unbearably lonely. I argue that this objection is in fact unfounded.I would like to thank William Wringe, Annick Jaulin, the members of the Bilkent Seminar Group and an anonymous referee for their helpful comments.     

On the Logical Form of Concessive Conditionals

This paper outlines an account of concessive conditionals that rests on two main ideas. One is that the logical form of a sentence as used in a given context is determined by the content expressed by the sentence in that context. The other is that a coherent distinction can be drawn between a reading of ‘if’ according to which a conditional is true when its consequent holds on the supposition that its antecedent holds, and a stronger reading according to which a conditional is true when its antecedent supports its consequent. As we will suggest, the logical form of concessive conditionals can be elucidated by relying on this distinction.

     

On the nature of mental models of conditional: The case of If,If then,and Only if

It has recently been reported that forward inferences from if p then q sentences (i.e., from antecedent to consequent) were faster than backward inferences from consequent to antecedent (Barrouillet, Grosset, & Lecas, 2000). The standard mental model theory assumes that this directionality effect is a figural effect due to the order the information enters working memory, whereas we claim that it results from the nature of the mental models that represent oriented relations from hypothetical values introduced by the word If. We tested these hypotheses in an experiment in which adult participants evaluated conditional syllogisms from either if p then q, p only if q, or p if q statements. Contrary to the predictions resulting from the standard theory, the three forms of the conditional provoked a reversed directionality effect and denial inferences took longer to endorse than affirmative inferences for all the forms of conditionals. We argue from these results that mental models of the conditional represent oriented relations instead of mere co-occurrences between events.     

An eye-tracking investigation into readers' sensitivity to actual versus expected utility in the comprehension of conditionals

The successful comprehension of a utility conditional (i.e., an “if p, then q” statement where p and/or q is valued by one or more agents) requires the construction of a mental representation of the situation described by that conditional and integration of this representation with prior context. In an eye-tracking experiment, we examined the time course of integrating conditional utility information into the broader discourse model. Specifically, the experiment determined whether readers were sensitive, during rapid heuristic processing, to the congruency between the utility of the consequent clause of a conditional (positive or negative) and a reader's subjective expectations based on prior context. On a number of eye-tracking measures we found that readers were sensitive to conditional utility—conditionals for which the consequent utility mismatched the utility that would be anticipated on the basis of prior context resulted in processing disruption. Crucially, this sensitivity emerged on measures that are accepted to indicate early processing within the language comprehension system and suggests that the evaluation of a conditional's utility informs the early stages of conditional processing.     

Indicatives,concessives, and evidential support

This paper discusses the issue of categorical acceptability of indicative and concessive conditionals. It presents experimental results in favour of two claims concerning the role of the evidential support relation for acceptability (or otherwise) of conditionals of both types. In particular, the results show that, contrary to fairly standard philosophical theorising, high probability of a conditional's consequent given its antecedent is necessary but not sufficient for the acceptability of that conditional, and that the antecedent being evidence for the consequent is a further acceptability condition. The results further show that the evidential support relation is crucial in differentiating between the acceptability of an indicative conditional and the acceptability of the corresponding concessive conditional: typically, the use of a concessive conditional signals that the corresponding conditional probability is high in spite of the fact that the antecedent is evidence against the consequent, or in any case is not evidence for the consequent.     

Torturers and the Tortured

Abstract

Patrick Lenta and Jessica Wolfendale have written two very thoughtful discussions on torture. A central question that arises in responding to these essays in terms of my recent book, Stoic Warriors, is whether ancient Stoicism affords any insights into both the propensity to inflict torture as well as the capacity to endure it. Wolfendale suggests that the learned capacity to endure torture, and in particular, becoming desensitised to pain, may be part of the psychological background that informs a willingness to inflict torture. Training in resisting torture, such as that which special operations troops typically go through, involves not only learning techniques, which can then be reverse engineered in applying torture (what some argue has happened in Guantanamo Bay), but also learning the kind of stress inoculation that makes one willing to use those techniques. In short, military training that involves torture resistance hardens one’s soul and makes one indifferent to the suffering that torture involves. This indifference, Wolfendale claims, is not unlike Stoic apathy. I want to argue, on the contrary, that Stoic apathy is substantively different. However, before making the case, I take up a number of other preliminary points raised in both papers. I conclude with some remarks about interrogation in general.