In this paper, we define some consequence relations based on supervaluation semantics for partial models, and we investigate their properties. For our main consequence relation, we show that natural versions of the following fail: upwards and downwards Lowenheim-Skolem, axiomatizability, and compactness. We also consider an alternate version for supervaluation semantics, and show both axiomatizability and compactness for the resulting consequence relation.

ABSTRACTLinguistic evidence supports the claim that certain, weak rejections are less specific than assertions. On the basis of this evidence, it has been argued that rejected sentences cannot be premisses and conclusions in inferences. We give examples of inferences with weakly rejected sentences as premisses and conclusions. We then propose a logic of weak rejection which accounts for the relevant phenomena and is motivated by principles of coherence in dialogue. We give a semantics for which this logic is sound and (...) complete, show that it axiomatizes the modal logic KD45 and prove that it still derives classical logic on its asserted fragment. Finally, we defend previous logics of strong rejection as being about the linguistically preferred interpretations of weak rejections. (shrink)

I examine the views of Thomas Reid with respect to a certain version of the problem of induction: Why are inductions using natural kinds successful, and what justifies them? I argue that while both Reid holds a kind of conventionalist view about natural kinds, this conventionalism has a realistic component which allows him to answer both questions.

The general notions of object- and metalanguage are discussed and as a special case of this relation an arbitrary first order language with an infinite model is expanded by a predicate symbol T0 which is interpreted as truth predicate for . Then the expanded language is again augmented by a new truth predicate T1 for the whole language plus T0. This process is iterated into the transfinite to obtain the Tarskian hierarchy of languages. It is shown that there are natural (...) points for stopping this process. The sets which become definable in suitable hierarchies are investigated, so that the relevance of the Tarskian hierarchy to some subjects of philosophy of mathematics are clarified. (shrink)

A theory of the transfinite Tarskian hierarchy of languages is outlined and compared to a notion of partial truth by Kripke. It is shown that the hierarchy can be embedded into Kripke's minimal fixed point model. From this results on the expressive power of both approaches are obtained.

It is well known that Tarski proved a result which can be stated roughly as: no sufficiently rich, consistent, classical language can contain its own truth definition. Tarski's way around this problem is to deal with two languages at a time, an object language for which we are defining truth and a metalanguage in which the definition occurs. An obvious question then is: under what conditions can we construct a definition of truth for a given object language. Tarski claims that (...) it is necessary and sufficient that the metalanguage be "essentially richer". Our contention, put bluntly, is that this claim deserves more scrutiny from philosophers than it usually gets and in fact is false unless "essentially richer" means nothing else than "sufficient to contain a truth definition for the object language.". (shrink)

To understand fully the contemporary imposition of capitalist class power, we need to consider not only social relations and neoliberal economic doctrines, but also academic and vernacular cultural contexts, including social critique, within which neoliberalism has been ideologically tailored and practically applied. Among the vernacular cultural contexts, religion – related to deepest human identifications, feelings and ideas about the nature of reality – certainly represents such an unavoidable political resource, inseparable from secular ideologies of a given social world. Taking this (...) into account, we will try to show how neoliberalism was built in a specific context, developing governmental approaches relative to elements of progressive critique, and has eventually succeeded to legitimize new mechanisms of capitalist accumulation, linking them, among other things, to specific religious “externalities”. We will suggest that the satisfactory explanation of profound changes in the contemporary religious life, referred to as the emergence of “New Age spirituality”, is only possible if we understand them as an integral part of the processes of neoliberalization. This does not mean that we are trying to reduce a complex multitude of contemporary spiritual practices to a simple one-dimensional reflex of neoliberalization, but rather to suggest that only such an approach can complement the omissions and correct the misconceptions of various inquiries that analyze New Age spirituality using the frameworks of postmodern culture and/or consumer society. By doing this, we wil discuss not only countercultural spirituality, but also neoliberal social epistemology and different critical aproaches to understanding it. (shrink)