It is argued that God cannot be a fitting target of prepositional gratitude. The first premise is that if someone cannot be benefited, then they cannot be a fitting target of prepositional gratitude. The second premise is that God cannot be benefited. Concerning the first premise, it is argued that a necessary component of prepositional gratitude is the desire to benefit one’s benefactor. Then it is argued that such a desire is fitting only if one’s benefactor can in fact be (...) benefited. Concerning the second premise, it is noted that classical theism widely attributes blessedness to God. It is argued that if God is blessed then God necessarily has as much well-being as it is possible for God to have, and hence God cannot be benefited. Also noted are some ways in which God’s blessedness is compatible with less orthodox ideas about God’s passibility. The argument is then defended against eight objections. (shrink)

Various aspects of prepositions translation have been primarily investigated in the framework of translation theory. Applied research is mostly focused on translating particular groups of prepositions against the background of plain language. Legal translation researchers have not yet comprehensively analysed peculiarities of translating Russian prepositions used in legal texts into English. The paper is an attempt to investigate the difficulties which Russian learners can encounter when translating prepositions from Russian commercial contracts into English. Methods employed include language typology comparison, continuous (...) sampling technique, language corpus data analysis as applied to language error forecast and prevention. The material selected for analysis – Russian commercial contracts – is chosen in accordance with the principles of professionalism, globalization, specialisation as well as graduates’ employment opportunities. The author develops a classification of prepositions drawing upon their structural, grammar and semantic functions in the texts of Russian commercial contracts. The findings reveal negative interference zones that can potentially cause preposition errors. Feasibility of the forecast is confirmed by the analysis of real learners’ errors. The research concludes that modelling legal translation teaching which takes into account potential interference zones for students can contribute to shifting focus to problem zones while teaching, raising students’ awareness, and therefore acting as propedeutics of the corresponding errors. (shrink)

The semantics of directional prepositions is investigated from the perspective of aspect. What distinguishes telic PPs (like to the house) from atelic PPs (like towards the house), taken as denoting sets of paths, is their algebraic structure: atelic PPs are cumulative, closed under the operation of concatenation, telic PPs are not. Not only does this allow for a natural and compositional account of how PPs contribute to the aspect of a sentence, but it also guides our understanding of the lexical (...) semantics of prepositions in important ways. Semantically, prepositions turn out to be quite similar to nouns and verbs. Nominal distinctions (like singular and plural, mass and count) and verbal classes (like semelfactives and degree achievements) have their prepositional counterparts. (shrink)

In this paper it is shown that addition of certain reductions to the standard cut removing reductions of deductions in prepositional logic makes prepositional logic non-normalizable. From this follows that some provable propositions in prepositional logic has no direct proof.

We approach the semantics of prepositions from the perspective of conceptual spaces. Focusing on purely spatial locative and directional prepositions, we analyze both types of prepositions in terms of polar coordinates instead of Cartesian coordinates. This makes it possible to demonstrate that the property of convexity holds quite generally in the domain of prepositions of location and direction, supporting the important role that this property plays in conceptual spaces.

To help infer the meanings of novel words, children frequently capitalize on their current linguistic knowledge to constrain the hypothesis space. Children's syntactic knowledge of function words has been shown to be especially useful in helping to infer the meanings of novel words, with most previous research focusing on how children use preceding determiners and pronouns/auxiliary to infer whether a novel word refers to an entity or an action, respectively. In the current visual world experiment, we examined whether 28‐ to (...) 32‐month‐olds could exploit their lexical semantic knowledge of an additional class of function words—prepositions—to learn novel nouns. During the experiment, children were tested on their ability to use the prepositions in, on, under, and next to to identify novel creatures displayed on a screen (e.g., The wug is on the table), as well as their ability to later identify the creature without accompanying prepositions (e.g., Look at the wug). Children overall demonstrated understanding of all the prepositions but next to and were able to use their knowledge of prepositions to learn the associations between novel words and their intended referents, as shown by greater‐than chance looks to the target referent when no prepositional phrase was provided. (shrink)

In this paper, we show how the problem of accounting for the semanticsof temporal preposition phrases (tPPs) leads us to some surprisinginsights into the semantics of temporal expressions ingeneral. Specifically, we argue that a systematic treatment of EnglishtPPs is greatly facilitated if we endow our meaning assignments with context variables, a device which allows a tPP to restrict domainsof quantification arising elsewhere in a sentence. We observe that theuse of context variables implies that tPPs can modify expressions intwo ways, and (...) we use this observation to predict the behaviour of tPPswhose complements are themselves modified by other tPPs. (shrink)

This paper presents an anti‐realist account of fictional objects. Arguing for the involvement of non‐veridical prepositional attitude ascriptions in the understanding of fiction, I maintain that there is no need to invoke Meinongian objects, possibilia or abstract objects for this purpose. In addition I argue against object dependent views . I make a case for empty names playing a more significant role than that accorded on direct reference accounts of names. I close by noting points of similarity and of difference (...) with Amie Thomasson and with Kendall Walton. (shrink)

Attempts are made to transform the basis of elementary probability theory into the logical calculus.We obtain the propositional calculus NP by a naive approach. As rules of transformation, NP has rules of the classical propositional logic (for events), rules of the ukasiewicz logic 0 (for probabilities) and axioms of probability theory, in the form of rules of inference. We prove equivalence of NP with a fragmentary probability theory, in which one may only add and subtract probabilities.

Resumen: Este estudio examina la frecuencia de colocaciones gramaticales verbo + preposición en aprendientes anglófonos de Español como Lengua Extranjera de nivel A2 y B1 bajo el modelo de Análisis Contrastivo de la Interlengua. Para ello se implementa una tipología colocacional sustentada en un criterio de fijación intermedia de estas unidades. Los resultados muestran mayor frecuencia en el nivel B1, pero no en la variedad de unidades, y un mayor número de usos correctos que en A2. Respecto de las diferencias (...) encontradas según el patrón sintáctico-semántico, las variables competencia, complejidad del patrón y temáticas aparecen como factores importantes para explicarlas en el contexto del corpus de aprendientes examinado. Este trabajo aporta al estudio de las ColGram v+p, y de otros tipos en ELE.: This study examines the frequency of grammatical collocations verb + preposition in L1-English learners of Spanish as a Foreign Language of levels A2 and B1 under the model of Interlanguage Contrastive Analysis. To this end, a collocational typology based on a criterion of intermediate fixedness was implemented. The results show higher frequency in level B1, but not in the variety of the units, and a greater number of correct uses than in A2. Regarding found differences according to syntactic and semantic pattern, the variables of competence, pattern complexity and theme appear to play an important role in their explanation in the context of the learners’ corpus examined. This work contributes to the study of GramCol v+p and other types in SFL. (shrink)

Wittgenstein initially endorsed but then abandoned, by the time of “Some Remarks on Logical Form”, the view that elementary propositions are logically independent. In this paper it is argued that the doctrine of logical independence is in fact inconsistent with the intuitions and examples that motivated the picture theory of the Tractatus Logico-Philosophicus. This leaves the question of whether the logical independence of elementary propositions can be reconciled with the theory itself; the paper explores some interpretations of the early Wittgenstein (...) with which this is, and others with which it is not, consistent. (shrink)

ArgumentThis essay takes inspiration from Herbert Mehrtens’ 1995 claim that the “history of mathematics is an integral part of intellectual history.” It asks why, despite the tremendous transformation the historiography of mathematics has undergone since the field began to professionalize in the 1970s, historians of mathematics repeatedly complain that their field has been marginalized. The answer, I suggest, is not due to the fact that mathematics is less amenable to the types of social, cultural, or material analysis that came to (...) dominate the history of science in recent decades. Rather, at issue is that most historians have adopted mathematicians’ own definition of mathematics. The history of mathematics professionalized at a particular moment, one in which mathematicians were concerned about the limits and boundaries of their field. As such, they were invested in drawing boundaries around the “proper” confines of the field. Historians of mathematics have followed suit, and similarly restricted what did and did not belong in the history of mathematics. Following Mehrtens, however, and insisting that the history of mathematics is an integral part of broader intellectual history, a more capacious conception of the field is possible. (shrink)

Marcus William Hunt argues that prepositional gratitude to God is metaphysically impossible. This is because a fitting target of prepositional gratitude should be able to be benefited in return. Having the maximum well-being, God cannot be benefited in return and fails to be a fitting target. This view is debatable as some argue that God’s well-being can be increased in some peculiar sense. This paper proposes that Zhu Xi (1130-1200), a Confucian philosopher in China, can offer some plausible perspective. The (...) ultimate reality in Zhu, while perfectly good itself, can be in a better state of being when it has more manifestations (namely, when humans fulfill their moral nature.) This can serve as a parallel to suggest alternative conceptualizations of God and of his well-being, which always guarantee his maximum well-being in an intensive sense, while allow for an increase in his well-being in an extensive sense. In other words, we can uphold God as perfectly good per se while admit his having varying degrees of external well-being, which can account for his relationship with things, especially human beings, in the world. (shrink)

English uses the relative Reference Frame which includes the speaker’s viewpoint assigning directions to identify a Located Object and a Reference Object. Projective prepositions express the position of the LO and the RO along the front-back and left-right axes: the speaker’s egocentric axes are either mapped onto the RO under a 180-degree rotation so that the speaker’s right is the listener’s left; or the speaker’s egocentric axes are translated onto the RO without rotation. When the RO is a non-fronted object, (...) English refers to it without rotation along the left-right axis, but it depicts it with rotation along the front-back line. In comparison to this model, this paper explores the way English treats the location of a RO represented by animate and human entities. The use of projective prepositions to consider animate, fronted items used as RO is here examined through spoken corpora collected with English-speaking students, describing the position of such items with or without rotation. (shrink)

In this article we explore how two enactments of HIV – the UN’s AIDS Clock and clinical trials for an HIV biomedical prevention technology or pre-exposure prophylaxis – entail particular globalizing and localizing dynamics. Drawing on Latour’s and Whitehead’s concept of proposition, and Serres’ call for a philosophy of prepositions, we use the composite notion of pre/pro-positions to trace the shifting topological status of HIV. For example, we show how PrEP emerges through topological entwinements of globalizing biomedical standardization, localizing protests (...) against PrEP trials and globalizing ethical principles. We go on to examine how our own analysis manifests a parallel topological pattern in which we deploy a globalizing argument about the localizing of the globalizing found in the AIDS Clock and the PrEP trails. Finally, we consider how the movement of ‘topology’ into the social sciences might itself benefit from a topological treatment. (shrink)

This paper deals with, prepositional calculi with strong negation (N-logics) in which the Craig interpolation theorem holds. N-logics are defined to be axiomatic strengthenings of the intuitionistic calculus enriched with a unary connective called strong negation. There exists continuum of N-logics, but the Craig interpolation theorem holds only in 14 of them.

In “Early High Christology and Contemporary Pro-Nicene Theology,” Steven Nemes raises a dilemma. Either one may affirm what the New Testament teaches about the Word “through” whom all things were created, or one may affirm that the Father and Son are consubstantial (as the Nicene Creed teaches), but not both. I show that Nemes’s argument begs the question and that Nemes fails to represent how pro-Nicene theologians interpreted such prepositions (for example, “through”) in the New Testament. Contrary to what Nemes (...) contends, there is no inconsistency in believing what John 1:3 teaches and that the divine persons are consubstantial. (shrink)

Studies on event-related potentials (ERP) in code-switching (CS) have concentrated on single-word insertions, usually nouns. However, CS ranges from inserting single words into the main language of discourse to alternating languages for larger segments of a discourse, and can occur at various syntactic positions and with various word classes. This ERP study examined native speakers of Russian who had learned German as a second language; they were asked to listen to sentences with CS from their second language, German, to their (...) first language, Russian. CS included either a whole prepositional phrase or only the lexical head noun of a prepositional phrase. CS at nouns resulted in a late positive complex (LPC), whereas CS at prepositions resulted in a broad early negativity, which was followed by an anterior negativity with a posterior positivity. Only in the last time window (800–1000 ms) did CS at prepositions result in a broad positivity similar to CS at nouns. The differences between both types of CS indicate that they relate to different psycholinguistic processes. (shrink)