I develop a formal logic in which quantified arguments occur in argument positions of predicates. This logic also incorporates negative predication, anaphora and converse relation terms, namely, additional syntactic features of natural language. In these and additional respects, it represents the logic of natural language more adequately than does any version of Frege’s Predicate Calculus. I first introduce the system’s main ideas and familiarize it by means of translations of natural language sentences. I then develop a formal system built on these principles, the Quantified Argument Calculus or Quarc. I provide a truth-value assignment semantics and a proof system for the Quarc. I next demonstrate the system’s power by a variety of proofs; I prove its soundness; and I comment on its completeness. I then extend the system to modal logic, again providing a proof system and a truth-value assignment semantics. I proceed to show how the Quarc versions of the Barcan formulas, of their converses and of necessary existence come out straightforwardly invalid, which I argue is an advantage of the modal Quarc over modal Predicate Logic as a system intended to capture the logic of natural language.
I explain why I think that considerations regarding the opposing rights involved in the practice of circumcision-rights of the individual to bodily integrity and rights of the community to practice its religion-would not help us decide on the desirable policy towards this controversial practice. I then suggest a few measures that are not in conflict with either religious or community rights but that can both reduce the harm that circumcision as currently practiced involves and bring about a change in attitude towards the practice, thus further reducing its frequency. These measures are the compulsory administration of anaesthetics; the banning of the metzitzah b'peh; and having an upper age limit of a few months on non-therapeutic circumcision of minors. I conclude with general considerations on why the steps taken towards the reform of circumcision should be moderate.
The reason for characterizing mental states as propositional attitudes is sentence form: ‘S Vs that p’. However, many mental states are not ascribed by means of such sentences, and the sentences that ascribe them cannot be appropriately paraphrased. Moreover, even if a paraphrase were always available, that in itself would not establish the characterization. And the mental states that are ascribable by appropriate senses do not form any natural subset of mental states. A reason for the characterization relying on beliefs, etc., about non‐existing things is also rejected. Last, some sentences ascribing abilities and dispositions have the same grammatical form as some senses that ascribe mental states, so that the attempt to paraphrase the latter would obscure the conceptual relations between the two sorts. It follows that mental states are not relations to propositions.
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