Terence Parsons

(? - 2022)

This paper consists principally of selections from a much longer work on the semantics of English. It discusses some problems concerning how to represent grammatical modifiers (e.g. slowly in x drives slowly) in a logically perspicuous notation. A proposal of Reichenbach's is given and criticized; then a new theory (apparently discovered independently by myself, Romain Clark, and Richard Montague and Hans Kamp) is given, in which grammatical modifiers are represented by operators added to a first-order predicate calculus. Finally some problems concerning applications of adjectives to that-clauses and gerundive-clauses are discussed.

John Buridan was the greatest of the medieval logicians. His massive logical text, the Summulae de Dialectica, has been available in a first rate English translation for well over a decade. Now it is joined by his other major logical work, the Treatise on Consequences. The translation provided here runs about a hundred pages. Chapters 1 and 3 concern consequences involving non-modal propositions, and chapters 2 and 4 concern modals. Buridan is a very clear writer, and Read has provided a translation that is both accurate and readable. The book has a helpful introduction.A consequence is a proposition in conditional form such that things cannot be as its antecedent signifies without also being as its..

This entry traces the historical development of the Square of Opposition, a collection of logical relationships traditionally embodied in a square diagram. This body of doctrine provided a foundation for work in logic for over two millenia. For most of this history, logicians assumed that negative particular propositions ("Some S is not P") are vacuously true if their subjects are empty. This validates the logical laws embodied in the diagram, and preserves the doctrine against modern criticisms. Certain additional principles ("contraposition" and "obversion") were sometimes adopted along with the Square, and they genuinely yielded inconsistency. By the nineteenth century an inconsistent set of doctrines was widely adopted. Strawson's 1952 attempt to rehabilitate the Square does not apply to the traditional doctrine; it does salvage the nineteenth century version but at the cost of yielding inferences that lead from truth to falsity when strung together.

Spade 1988 sugges t s tha t t he r e are ac tua l l y two theo r i e s t o address t h i s ques t i o n t o , an ear l y one and a l a t e r one . 2 Most o f the presen t pape r i s a deve l o pmen t o f t h i s i dea . I sugges t tha t ear l y work by Sherwood and o the r s was a s tudy o f quan t i f i e r s : the i r semant i c s and t he e f f e c t s o f con t e x t on i n f e r e n ce s t ha t can be made f r om quan t i f i e d te rms . La te r , i n the hands o f Bur l e y and o the r s , i t changed i n t o a s tudy o f someth i n g e l se , a s tudy o f what I ca l l g loba l quan t i f i c a t i o n a l e f f e c t . In sec t i o n 1 , I exp l a i n what these two op t i o n s are.

Bhartṛhari claims that certain things cannot be signified--for example, the signification relation itself. Hans and Radhika Herzberger assert that Bhartṛhari's claim about signification can be validated by an appeal to twentieth-century results in set theory. This appeal is unpersuasive in establishing this view, but arguments akin to the semantic paradoxes (such as the "liar" paradox) come much closer. Unfortunately, these arguments are equally telling against another of his views: that the thatness of the signification relation can be signified. Bhartṛhari also claims that the relation of inherence cannot be signified--a quite different view that is not borne out by twentieth-century results. Finally, further research is needed to investigate what Bhartṛhari's own reasons might have been for these views

This extended investigation of the semantics of event (and state) sentences in their various forms is a major contribution to the semantics of natural language, simultaneously encompassing important issues in linguistics, philosophy, and logic. It develops the view that the logical forms of simple English sentences typically contain quantification over events or states and shows how this view can account for a wide variety of semantic phenomena. Focusing on the structure of meaning in English sentences at a &"subatomic&" level&-that is, a level below the one most theories accept as basic or &"atomic&"&-Parsons asserts that the semantics of simple English sentences require logical forms somewhat more complex than is normally assumed in natural language semantics. His articulation of underlying event theory explains a wide variety of apparently diverse semantic characteristics of natural language, and his development of the theory shows the importance of seeing the distinction between events and states. Parsons demonstrates that verbs, also, indicate kinds of actions rather than specific, individual actions. Verb phrases, too, he argues, depend on modifiers to make their function and meaning in a sentence specific. An appendix gives many of the details needed to formalize the theory discussed in the body of the text and provides a series of templates that permit the generation of atomic formulas of English.

The Treatise on Univocation is an early work on the fallacy called univocation. This fallacy is a kind of ambiguity due to the shifted reference of words in a sentence when the ambiguity does not fall under the well-known Aristotelian kinds (equivocation, composition and division, . . .). Examples include the shift of reference of common terms due to tense and modality; e.g. the shift whereby the reference of 'giraffe' is extended to past or future giraffes when the tense of the sentence 'A giraffe is spotted' is made past or future, and the shift whereby the reference of 'giraffe' is extended to merely possible giraffes in the sentence 'A giraffe can be spotted'. The translation is by Elizabeth Karger.

It is tempting to think that Meinong overlooked the "specific/nonspecific" distinction. For example, 'I am looking for a grey horse' may either mean that there is a specific horse I am looking for, or just that I am grey-horse-seeking. The former reading, and not the latter, requires for its truth that there be a grey horse. The purpose of this paper is to investigate whether it is defensible to maintain Meinong's theory here: to take nonspecific reading of any verb concerning a possibly non-existent but incomplete object. This requires essential appeal to the distinction between nuclear and extranuclear properties. Included is a discussion of criticisms of Meinong's own theory, and of the Medieval theory of ampliation, according to which psychological discourse can "ampliate" a term such as 'chimera' so as to stand for one or more things that cannot exist, yet are chimeras. The paper concludes inconclusively.