In the paper I investigate aspects of adverbial modification as an operation applying an adverb or adverbial phrase to a predicate and thereby creating a new predicate. The logic of adverbial modification, on this view, belongs to the logic of predicate modifiers. The theory I present is intended to cover not only adverbial modification but also attributive modification, but problems concerning the latter will not be given any special attention.

In this paper I investigate adverbial modication as an operation ap- plying an adverb or adverbial phrase to a predicate and thereby creating a new predicate. To this end I dene languages determined by a set P red of simple predicates, a system Mod of predicate modiers, and a class X of individual constants. If L is such a language, it employs the symbols that determine it and, in addition, the following symbols: ; f; \; 0 ; 8; individual variables; (...) and punctuation symbols. (shrink)

This paper introduces two languages and associated logics designed to afford perspicuous representations of a range of natural language arguments involving adverbs and the like: first-order logic with basic adverbs (FOL-BA) and first-order logic with scoped adverbs (FOL-SA). The guiding logical idea is that an adverb can come between a term and the rest of the statement it is a part of, resulting in a logically stronger statement. I explain various interesting challenges that arise in (...) the attempt to implement the guiding idea, and provide solutions for some but not all of them. I conclude by outlining some directions for further research. (shrink)

This reviews, motivates, and extends the event analysis of action sentences and shows how it explains the compositionally of adverbial modification of action verbs and event verbs more generally. It includes a treatment of intensional adverbs like 'intentionally' and how it can be extended to the collective reading of plural action sentences.

This article discusses the logical form of action sentences with particular attention to the role of adverbial modification, reviewing and extending the event analysis of action sentences.

The logic of intentional verbs and constructions has been intensively studied over the last twenty years in different logical fields : pure logic, philosophy of logic, logic for AI and logic computer science. There is little interaction among these scientific communities. In this paper I shall bring together the more significant results which have been obtained and offer an up to date status quaestionis. I will reduce logical technicalities to a minimum. and lay emphasis on (...) what is philosophically and ethically significant in the recent formalizations of intentional verb and adverbs. (shrink)

Certain adverbial constructions seem to create difficulties. There are intuitive deductions concerning adverbs and prepositional phrases, which are not easily translatable into the formal language of first-order logic; at least the ways of translating them are open to discussion. Thus from.

This paper is about a topic in the semantics of interrogatives.1 In what follows a number of assumptions figure at the background which, though intuitively appealing, have not gone unchallenged, and it seems therefore only fair to draw the reader’s attention to them at the outset. The first assumption concerns a very global intuition about the kind of semantic objects that we associate with interrogatives. The intuition is that there is an intimate relationship between interrogatives and their answers: an interrogative (...) determines what counts as an answer.2 Given a certain, independently motivated, view on what constitutes the meaning of an answer, this intuition, in return, determines what constitutes the meaning of an interrogative. For example, starting from the observation that answers are true or false in situations, we may be led to the view that answers express propositions, i.e., objects which determine a truth value in a situation. Given that much, our basic intuition says that interrogatives are to be associated with objects which determine propositions. Such objects will be referred to as ‘questions’ in what follows. Notice that all this is largely framework independent: we have made no assumptions yet about what situations, propositions, and questions are, we have only related them in a certain systematic way. In fact we will use a more or less standard, but certainly not uncontroversial, specification in what follows: situations are identified with (total) possible worlds; propositions with sets of worlds; and questions with equivalence relations on the set of worlds. The second assumption that plays a role in what follows is of a more linguistic nature. Interrogatives typically occur in two ways: as independent expressions, and as complements of certain verbs. The assumption is that these two ways of occurring are systematically related, not just syntactically but also semantically.3 Notice that the exact nature of this relationship is underdeter.. (shrink)

1 Meaning and Truth Objection to propositions Propositions as information Diffuseness of empirical meaning Propositions dismissed Truth and semantic ascent Tokens and eternal sentences 2 Grammar Grammar by recursion Categories Immanence and transcendence Grammarian's goal reexamined Logical grammar Redundant devices Names and functors Lexicon, particle, and name Criterion of lexicon Time, events, adverbs Attitudes and modality 3 Truth Truth and satisfaction Satisfaction by sequences Tarski's definition of truth Paradox in the object language Resolution in set theory 4 Logical Truth (...) In terms of structure In terms of substitution In terms of models Adequacy of substituteon In terms of proof In terms of grammar 5 The Scope of Logic Affinities of identity Identity reduced Set theory Set theory in sheep's clothing Logic in wolf's clothing Scope of the virtual theory Simulated class quantification Other simulated quantification Annexes 6 Deviant Login Change of logic, change of subject Logic in translation Law of excluded middle Debate about the dichotomy Intuitionism Branched quantifiers Substitutional quantification Its strength 7 The Ground of Logical Truth The semblance of a theory An untenable dualism The place of logic For Further Reading Index. (shrink)

In his commentary on Aristotle’s De intepretatione, Ammonius criticises the view, which he ascribes to Alexander of Aphrodisias, that epirrhêmata, ‘adverbs’, fall under the rubric of onoma. While it is difficult to establish Alexander’s view on the basis of Ammonius’s criticism, I argue that an intelligible view can be reconstructed, mainly based on evidence in Alexander’s commentary on the Topics, about different types of adverbs. In particular, I suggest that Alexander, apparently unlike Ammonius, may have drawn a distinction (...) between two classes of adverbs Aristotle deals with in his logical writings: tropoi (modal operators); and ptôseis, i.e. the specific type of ‘inflections’ (adverbs in -ôs derived from a noun – usually an abstract noun) playing a prominent role in several of the topoi Aristotle gives in the Topics. (shrink)

Preface This book is about semantics and logic. More specifically, it is about the semantics and logic of natural language; and, even more specifically than ...

I read Stefan Collini’s What are Universities For? last week with very mixed feelings. In the past, I’ve much admired his polemical essays on the REF, “impact”, the Browne Report, etc. in the London Review of Books and elsewhere: they speak to my heart. If you don’t know those essays, you can get some of their flavour from his latest article in the Guardian yesterday. But I found the book a disappointment. Perhaps the trouble is that Collini is too decent, (...) too high-minded, has too unrealistically exalted a view about what actually happens in universities which is too coloured by attitudes appropriate to the traditional humanities. And he is optimistic to the point of fantasy if he thinks that people are so susceptible to “the romance of ideas and the power of beauty” that they will want, or can be brought to want, lots and lots of universities in order to promote the ideas (as if they would suppose that the task of “conserving, understanding, extending and handing on to subsequent generations the intellectual, scientific, and artistic heritage of mankind” was clearly ill-served when there were only forty universities in England, as opposed to a hundred and whatever). (shrink)

A common reaction to Hegel’s suggestion that we collapse Kant’s distinction between form and content is that, since such a move would also deprive us of any way of distinguishing the merely logical from the real possibility of our concepts, it is incoherent and ought to be rejected. It is true that these two distinctions are intimately related in Kant, such that if one goes, the other does as well. But it is less obvious that giving them up as Kant (...) conceives them is as incoherent a proposal as many of Hegel’s critics think. It has been the point of a recent account of Hegel’s idealism to demonstrate that his critique of Kant’s dichotomy between form and content or concept and intuition does not commit him to the view that human cognition is materially creative of its content in the manner of a God-like or intuitive intellect—does not, in other words, signify a return to a pre-Critical metaphysics. This is the interpretative stance I adopt here as well, in hope of giving defenders of Kant reasons for taking Hegel more seriously. (shrink)

Work on the nature and scope of formal logic has focused unduly on the distinction between logical and extra-logical vocabulary; which argument forms a logical theory countenances depends not only on its stock of logical terms, but also on its range of grammatical categories and modes of composition. Furthermore, there is a sense in which logical terms are unnecessary. Alexandra Zinke has recently pointed out that propositional logic can be done without logical terms. By defining a logical-term-free language (...) with the full expressive power of first-order logic with identity, I show that this is true of logic more generally. Furthermore, having, in a logical theory, non-trivial valid forms that do not involve logical terms is not merely a technical possibility. As the case of adverbs shows, issues about the range of argument forms logic should countenance can quite naturally arise in such a way that they do not turn on whether we countenance certain terms as logical. (shrink)

Validity of dynamic temporal reasoning is semantically characterized for English and Dutch aspectual adverbs in Discourse Representation Theory. This dynamic perspective determines how the content needs to be revised and what information is preserved across updates, when the order of premises is considered relevant. Resetting contextual parameters relies on modelling the basic aspectual polarity transitions and temporal reasoning extensionally. For intensional aspectual adverbials the speaker’s attitudes regarding past alternatives to and possible continuations of the current state come into play. (...) Additional considerations are offered for generalizing this system to the full logical space for linguistic universals, lexicalized quite differently in Dutch and English. (shrink)