It is a common opinion that chance events cannot be understood in causal terms. Conversely, according to a causal view of chance, intersections between independent causal chains originate accidental events, called “coincidences.” The present paper takes into proper consideration this causal conception of chance and tries to shed new light on it. More precisely, starting from Hart and Honoré’s view of coincidental events, this paper furnishes a more detailed account on the nature of coincidences, according to which coincidental events are (...) hybrids constituted by ontic components, that is the intersections between independent causal chains, plus epistemic aspects; where by “epistemic” we mean what is related, in some sense, to knowledge: for example, access to information, but also expectations, relevance, significance, that is psychological aspects. In particular, this paper investigates the role of the epistemic aspects in our understanding of what coincidences are. In fact, although the independence between the causal lines involved plays a crucial role in understanding coincidental events, that condition results to be insufficient to give a satisfactory definition of coincidences. The main target of the present work is to show that the epistemic aspects of coincidences are, together with the independence between the intersecting causal chains, a constitutive part of coincidental phenomena. Many examples are offered throughout this paper to enforce this idea. This conception, despite—for example—Antoine Augustine Cournot and Jacques Monod’s view, entails that a pure objectivist view about coincidences is not tenable. (shrink)

Automated reasoning about uncertain knowledge has many applications. One difficulty when developing such systems is the lack of a completely satisfactory integration of logic and probability. We address this problem directly. Expressive languages like higher-order logic are ideally suited for representing and reasoning about structured knowledge. Uncertain knowledge can be modeled by using graded probabilities rather than binary truth-values. The main technical problem studied in this paper is the following: Given a set of sentences, each having some probability of being (...) true, what probability should be ascribed to other (query) sentences? A natural wish-list, among others, is that the probability distribution (i) is consistent with the knowledge base, (ii) allows for a consistent inference procedure and in particular (iii) reduces to deductive logic in the limit of probabilities being 0 and 1, (iv) allows (Bayesian) inductive reasoning and (v) learning in the limit and in particular (vi) allows confirmation of universally quantified hypotheses/sentences. We translate this wish-list into technical requirements for a prior probability and show that probabilities satisfying all our criteria exist. We also give explicit constructions and several general characterizations of probabilities that satisfy some or all of the criteria and various (counter) examples. We also derive necessary and sufficient conditions for extending beliefs about finitely many sentences to suitable probabilities over all sentences, and in particular least dogmatic or least biased ones. We conclude with a brief outlook on how the developed theory might be used and approximated in autonomous reasoning agents. Our theory is a step towards a globally consistent and empirically satisfactory unification of probability and logic. (shrink)

The rationale for liberal economic policies refers inter alia to the so-called producer and consumer surpluses, namely welfare concepts which were proposed by Alfred Marshall in his seminal work Principles of Economics, first published in 1890. In the case of trade policy, relying on surpluses and referring to the 'small country case', it is recommended to remove tariff barriers imposed on the imports of commodities because it should increase welfare and, in theory at least, the losers of such a trade (...) policy orientation can be compensated with the use of adequate transfers from winners. Despite extensive use, the concept of surpluses still raises key questions that may alter the case for free trade. Thus, from a purely semantic perspective, the concept of producer, as presented in Marshall's work, seems to be broader than the concept which is proposed in the dominant economic discourse; in other words, workers should also be seen as producers. Assuming that the workers are considered as producers, their wage rents must be taken into account when discussing the impacts of trade liberalisation; in addition, the welfare costs of unemployment caused by the opening of national economies should be included – as a result, the case for free trade weakens considerably, it could even vanish. (shrink)