The best arguments for possible worlds as states of affairs furnish us with equally good arguments for impossible worlds of the same sort. I argue for a theory of impossible worlds on which the impossible worlds correspond to maximal inconsistent classes of propositions. Three objections are rejected. In the final part of the paper, I present a menu of impossible worlds and explore some of their interesting formal properties.

Plausibly, no agent ever performs an action without some desire to perform that action. If so, a regress argument shows that, given incompatibilism, we are only rarely free. The argument sidesteps recent objections to this thesis.

Whether certain objects compose a whole at a given time does not seem to depend on anything other than the character of those objects and the relations between them. This observation suggests a far-reaching constraint on theories of composition. One version of the constraint has been explicitly adopted by van Inwagen and rules out his own answer to the composition question. The constraint also rules out the other well-known moderate answers that have so far been proposed.

Several themes of David Lewis's theory of counterfactuals, especially their sensitivity to context, pave the way for a viable theory of non-trivial counterpossibles. If Lewis was successful in defending his account against the early objections, a semantics of counterpossibles can be defended from similar objections in the same way. The resulting theory will be extended to address 'might' counterfactuals and questions about the relative "nearness" of impossible worlds.

A recently advanced argument for purgatory hinges on the need for complete sanctification before one can enter heaven. The argument has a modal gap.The gap can be exploited to fashion a competing account of how sanctification occurs in the afterlife according to which it is in part a heavenly process.The competing account usefully complicates the overall case for purgatory and raises questions about how the notion ought to be understood.

The theory of possible worlds has permeated analytic philosophy in recent decades, and its best versions have a consequence which has gone largely unnoticed: in addition to the panoply of possible worlds, there are a great many impossible worlds. A uniform ontological method alone should bring the friends of possible worlds to adopt impossible worlds, I argue, but the theory's applications also provide strong incentives. In particular, the theory facilitates an account of counterfactuals which avoids several of the implausible results (...) of David Lewis's account, and it paves the way for the analogues of Kripkean semantics for epistemic and relevant logics. On the theories of possible worlds as abstract objects, worlds bear a strong resemblance to propositions. I contend that if there are distinct necessarily false propositions, then there are likewise distinct impossible worlds. However, one who regards possible worlds as concrete objects must not recognize impossible worlds, in part because concrete worlds cannot misrepresent certain features of reality, as some impossible worlds must. Accordingly, I defend and develop a theory of impossible worlds as maximal impossible states of affairs. Impossible worlds perform admirably in the analysis of counterfactuals with impossible antecedents. I argue that, contrary to standard accounts, not all counterpossibles are trivially true, and I develop a Lewis-style semantics which allows this result. The point is crucial, since many views presuppose that some counterpossibles are substantive philosophical truths. Finally, I show that impossible worlds hold great promise for doxastic and relevant logics. Epistemic logic needs a domain of propositions which is not closed under strict implication to avoid the problem of logical omniscience, and relevant logic needs such a domain to avoid the famous paradoxes of implication. In sum, impossible world theory promises natural, elegant solutions to philosophical problems in numerous areas where possible worlds alone flounder. These solutions come to most possible world theorists at no cost, since the existence of impossible worlds is entailed by theses they already hold. (shrink)

Plausibly, if an object persists through time, then its later existence must be caused by its earlier existence. Many theists endorse a theory of continuous creation, according to which God is the sole cause of a creature's existence at a given time. The conjunction of these two theses rather unfortunately implies that no object distinct from God persists at all. What strategies for resolving this difficulty are available? (Published Online April 7 2006).

It is often alleged that Cantor’s views about how the set theoretic universe as a whole should be considered are fundamentally unclear. In this article we argue that Cantor’s views on this subject, at least up until around 1896, are relatively clear, coherent, and interesting. We then go on to argue that Cantor’s views about the set theoretic universe as a whole have implications for theology that have hitherto not been sufficiently recognised. However, the theological implications in question, at least (...) as articulated here, would not have satisfied Cantor himself. (shrink)

Sokrates var inte bara en filosofisk nydanare. Genom sitt sätt att involvera sina samtalspartners i den filosofiska processen var han också i hög utsträckning en pedagogisk nydanare. Hans pedagogiska grundidé var den så kallade majeutiska metoden – det vill säga ”barnmorskemetoden”. Med det menade han att han inte överförde sina egna färdiga tankar till den han talade med utan han hjälpte sin samtalspartner att föda sina egna tankar. Inom pedagogiken är det vanligt att använda den så kallade ”Sokratiska metoden” vilket (...) i sin enklaste form bara innebär att man ställer frågor till studenterna. Den här artikeln kommer emellertid att handla om en mer sofistikerad metod som används för begreppsanalys/begreppsdefinition i grupp. Metoden är inspirerad av Sokrates men skiljer sig också en del från hur Sokrates själv grep sig an sina dialoger – åtminstone så som de beskrivs av Platon. Artikeln innehåller en kort historisk och pedagogisk bakgrund men syftar framför allt till att utgöra en praktisk vägledning för genomförande av sokratiska dialoger i filosofiundervisningen. Artikeln bygger framför allt på mina egna erfarenheter av att använda Sokratisk Dialog i undervisningen vid Filosofiska institutionen vid Lunds universitet, Lunds Tekniska Högskola, Sveriges Lantbruksuniversitet och i det privata näringslivet. Artikeln vänder sig till alla som undervisar i filosofi på universitetet eller gymnasiet eller i filosofiska metoder för studenter vid andra utbildningar, t.ex. värdeteori, vetenskapsteori eller tillämpad etik för ingenjörer eller medicinare – eller i vilket annat ämne som helst där det förekommer begrepp som saknar en enkel och knivskarp definition men som är viktiga för ämnet. (shrink)

This research note is penned in honour of Johan Vander Hoeven on his retirement as Editor-in-Chief of Philosophia Reformata. It is to acknowledge his helpful contribution to the critical exposition of phenomenology. I first read his work almost 30 years ago and it challenged me to develop a sympathetic Christian critique of this philosophical movement. This note is to offer some reflection upon the Christian interpretation of phenomeology. In particular, it raises questions about how some famous phrases, one by (...) Dilthey, the other by Husserl, have been construed. (shrink)