Hanoch Ben-Yami

Frege analyzed the grammatical subject-term 'S' in quantified subject-predicate sentences, 'q S are P', as being logically predicative. This is in contrast to Aristotelian Logic, according to which it is a logical subject-term, like the proper name 'a' in 'a is P' – albeit a plural one, designating many particulars. I show that Frege's arguments for his analysis are unsound, and explain how he was misled to his position by the mathematical concept of function. If common nouns in this grammatical subject position are indeed logical subject-terms, this should require a thorough reevaluation of the adequacy of Frege's Predicate Calculus as a tool for the analysis of the logic and semantics of natural language.

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 develop a solution to the Sorites Paradox, according to which a concatenation of valid arguments need not itself be valid. I specify which chains of valid arguments are those that do not preserve validity: those that pass the vague boundary between cases where the relevant concept applies and cases where that concept does not apply. I also develop various criticisms of this solution and show why they fail; basically, they all involve a petitio at some stage. I criticise the conviction that if every short argument in a long concatenated argument is valid, so is the long argument: it is, I argue, the result of an unjustified generalisation from the case of arguments that do not employ vague concepts (as in mathematics) to arguments that do employ them. My approach is Wittgensteinian in its “leaving everything as it is,” in its claiming that the “beginning” has been searched too far back (see paper's epigraph) and in its claim that the paradox was generated by a misapplication of a partial picture of the behaviour of arguments. I conclude my paper by comparing and contrasting my approach to the few precedents found in the vagueness literature and by answering a few additional objections that were raised there

Functionalists define a given mental state as a state that is apt to be the cause of specific effects and the effect of specific causes. Two tokens of the same belief, however, often cause and are caused by very different events: what makes them beliefs of the same type? Several answers, including the one relying on the identity of actual plus counterfactual causal relations, are considered and rejected. Functionalists did not notice that they have to specify how a state which is to be identified as mental is to be individuated, but, given their theory, this cannot be done

In this book, Ben-Yami reassesses the way Descartes developed and justified some of his revolutionary philosophical ideas. The first part of the book shows that one of Descartes' most innovative and influential ideas was that of representation without resemblance. Ben-Yami shows how Descartes transfers insights originating in his work on analytic geometry to his theory of perception. The second part shows how Descartes was influenced by the technology of the period, notably clockwork automata, in holding life to be a mechanical phenomenon, reducing the soul to the mind and considering it immaterial. Ben-Yami explores the later role of the digital computer in Turing's criticism of Descartes' ideas. The last part discusses the Meditations: far from starting everything afresh without presupposing anything that can be doubted, Descartes' innovations in the dream argument, the cogito and elsewhere are modifications of old ideas based upon considerations issuing from his separately developed theories, formed under the influence of the technology, mathematics and science of his age.

David Malament tried to show that the causal theory of time leads to a unique determination of simultaneity relative to an inertial observer, namely standard simultaneity. I show that the causal relation Malament uses in his proofs, causal connectibility, should be replaced by a different causal relation, the one used by Reichenbach in his formulation of the theory. I also explain why Malament's reliance on the assumption that the observer has an eternal inertial history modifies our conception of simultaneity, and I therefore eliminate it. Having made these changes, Malament's uniqueness result no longer follows, although the conventionality of simultaneity is not reinstated. I contrast my approach with previous criticisms of Malament. Introduction Causality and Temporal Order Malament's Argument Causality versus Causal Connectibility Simultaneity and History Conclusion.

Curtain. On the stage there's a row of about forty heads, of natural size, on a long and narrow white board roughly chest height, arranged facing the audience with equal spaces between them from near the left end of the stage to near its right end. The heads are all identical apart from two features. First, the leftmost head is completely bald, the rightmost head has lots of hair on its scalp, and the amount of hair on the heads increases gradually and uniformly from left to right, so that it is hard to discern a difference between any two consecutive heads. Secondly, the colour of the heads changes from bright red on the left to bright orange on the right, again so gradually that it is hard to discern a difference between any two consecutive heads. Apart from the row of heads the stage is empty, with dark background

This paper criticizes Kripke’s and Putnam’s theory of the semantics of natural kind terms (KPT) and develops an alternative theory. It first examines description theories of natural kind terms, to see what their flaws are and what can be preserved of them. It then presents the KPT and makes three main criticisms. These rely on the meaning of elementary particles’ names, on reactions to the absence of a common essential nature, and on applications of old terms to new cases. Lastly, it develops a theory that takes noun phrases to be plural referring expressions, and shows how that theory meets the objections to the KPT.

Ned Block. Psychologism and behaviorism. Philosophical Review, 90, 5-43.) argued that a behaviorist conception of intelligence is mistaken, and that the nature of an agent's internal processes is relevant for determining whether the agent has intelligence. He did that by describing a machine which lacks intelligence, yet can answer questions put to it as an intelligent person would. The nature of his machine's internal processes, he concluded, is relevant for determining that it lacks intelligence. I argue against Block that it is not the nature of its processes but of its linguistic behavior which is responsible for his machine's lack of intelligence. As I show, not only has Block failed to establish that the nature of internal processes is conceptually relevant for psychology, in fact his machine example actually supports some version of behaviorism. As Wittgenstein has maintained, as far as psychology is concerned, there may be chaos inside

I have attempted to show that many attributive adjectives can be dealt with within the framework of first-order predicate calculus by the method suggested in this paper. I've also supplied independent reasons for the claim that attributive adjectives that are not responsive to this method require a formal treatment different from the one that the adjectives successfully dealt with by that method require. Thus, if the method I've argued for is sound, then the scope of first-order predicate calculus was shown to be wider than assumed by several logicians. This I take to be of interest from a logical point of view

I first show that most authors who developed Plural Quantification Logic (PQL) argued it could capture various features of natural language better than can other logic systems. I then show that it fails to do so: it radically departs from natural language in two of its essential features; namely, in distinguishing plural from singular quantification and in its use of an relation. Next, I sketch a different approach that is more adequate than PQL for capturing plural aspects of natural language semantics and logic. I conclude with a criticism of the claim that PQL should replace natural language for specific philosophical or scientific purposes

I reconstruct from Rietdijk and Putnam’s well-known papers an argument against the applicability of the concept of becoming in Special Relativity, which I think is unaffected by some of the objections found in the literature. I then consider a line of thought found in the discussion of the possible conventionality of simultaneity in Special Relativity, beginning with Reichenbach, and apply it to the debate over becoming. We see that it immediately renders Rietdijk and Putnam’s argument unsound. I end by comparing my approach to others found in the literature, primarily Stein’s