Rigid and flexible quantification in plural predicate logic

Noun phrases with overt determiners, such as \u3ci\u3esome apples\u3c/i\u3e or \u3ci\u3ea quantity of milk\u3c/i\u3e, differ from bare noun phrases like \u3ci\u3eapples\u3c/i\u3e or \u3ci\u3emilk\u3c/i\u3e in their contribution to aspectual composition. While this has been attributed to syntactic or algebraic properties of these noun phrases, such accounts have explanatory shortcomings. We suggest instead that the relevant property that distinguishes between the two classes of noun phrases derives from two modes of existential quantification, one of which holds the values of a variable fixed throughout a quantificational context while the other allows them to vary. Inspired by Dynamic Plural Logic and Dependence Logic, we propose Plural Predicate Logic as an extension of Predicate Logic to formalize this difference. We suggest that temporal \u3ci\u3efor\u3c/i\u3e-adverbials are sensitive to aspect because of the way they manipulate quantificational contexts, and that analogous manipulations occur with spatial \u3ci\u3efor\u3c/i\u3e-adverbials, habituals, and the quantifier \u3ci\u3eall\u3c/i\u3e

Challenging the aesthetics and functionality of metals in contemporary blacksmithing

A forge allows the creation of both utilitarian craftwork and artworks. It is difficult to find blacksmiths who are willing to pass on their knowledge, particularly in South Africa where the art of blacksmithing is practised by a small number of individuals who rely on their labour for an income. This dissertation documents the building of a forge and what is needed to practise the art of blacksmithing, sourcing of the materials, and the application of blacksmithing to make pleasing artefacts. The document includes the processes of forge tool-making, providing an avenue for future students to fabricate tools and use the processes for art-making as well as list of suppliers and list of blacksmiths in South Africa

'Dead dogs, stones and dust': the Fall from an Urban pastoral in Brennan's Curriculum Vitae

The paper reads Christopher Brennan's Curriculum Vitaeas an autobiography which does not act as a personal myth of becoming--instead it narrates and situates Brennan's loss of language, self and his poetic silence

Fishnets: Information-Optimal, Scalable Aggregation for Sets and Graphs

Set-based learning is an essential component of modern deep learning and network science. Graph Neural Networks (GNNs) and their edge-free counterparts Deepsets have proven remarkably useful on ragged and topologically challenging datasets. The key to learning informative embeddings for set members is a specified aggregation function, usually a sum, max, or mean. We propose Fishnets, an aggregation strategy for learning information-optimal embeddings for sets of data for both Bayesian inference and graph aggregation. We demonstrate that i) Fishnets neural summaries can be scaled optimally to an arbitrary number of data objects, ii) Fishnets aggregations are robust to changes in data distribution, unlike standard deepsets, iii) Fishnets saturate Bayesian information content and extend to regimes where MCMC techniques fail and iv) Fishnets can be used as a drop-in aggregation scheme within GNNs. We show that by adopting a Fishnets aggregation scheme for message passing, GNNs can achieve state-of-the-art performance versus architecture size on ogbn-protein data over existing benchmarks with a fraction of learnable parameters and faster training time.Comment: 13 pages, 9 figures, 2 tables. Submitted to ICLR 202

Wage-Productivity Analysis of U.S. Domestic Airlines

This study examines the impact of wages on productivity by examining US domestic airlines. Current literature places emphasis on jobs conducted in-flight, specifically pilots and cabin crew. This paper considers all job titles involved in the operations of the airline, including executives and management. Existing research focuses on factors such as governance, domestic economic level, and personal attributes such as intrinsic motivation, gender, and age. There is insufficient research regarding the relationship between wage and productivity. Thus, it is uncertain if high wage leads to high productivity. Preliminary findings suggest higher wage equates to higher productivity

Spacetime Geometry of Acoustics and Electromagnetism

Both acoustics and electromagnetism represent measurable fields in terms of dynamical potential fields. Electromagnetic force-fields form a spacetime bivector that is represented by a dynamical energy–momentum 4-vector potential field. Acoustic pressure and velocity fields form an energy–momentum density 4-vector field that is represented by a dynamical action scalar potential field. Surprisingly, standard field theory analyses of spin angular momentum based on these traditional potential representations contradict recent experiments, which motivates a careful reassessment of both theories. We analyze extensions of both theories that use the full geometric structure of spacetime to respect essential symmetries enforced by vacuum wave propagation. The resulting extensions are geometrically complete and phase-invariant (i.e., dual-symmetric) formulations that span all five grades of spacetime, with dynamical potentials and measurable fields spanning complementary grades that are related by a spacetime vector derivative (i.e., the quantum Dirac operator). These complete representations correct the equations of motion, energy–momentum tensors, forces experienced by probes, Lagrangian densities, and allowed gauge freedoms, while making manifest the deep structural connections to relativistic quantum field theories. Finally, we discuss the implications of these corrections to experimental tests

Acoustic versus electromagnetic field theory: scalar, vector, spinor representations and the emergence of acoustic spin

We construct a novel Lagrangian representation of acoustic field theory that describes the local vector properties of longitudinal (curl-free) acoustic fields. In particular, this approach accounts for the recently-discovered nonzero spin angular momentum density in inhomogeneous sound fields in fluids or gases. The traditional acoustic Lagrangian representation with a ${\it scalar}$ potential is unable to describe such vector properties of acoustic fields adequately, which are however observable via local radiation forces and torques on small probe particles. By introducing a displacement ${\it vector}$ potential analogous to the electromagnetic vector potential, we derive the appropriate canonical momentum and spin densities as conserved Noether currents. The results are consistent with recent theoretical analyses and experiments. Furthermore, by an analogy with dual-symmetric electromagnetic field theory that combines electric- and magnetic-potential representations, we put forward an acoustic ${\it spinor}$ representation combining the scalar and vector representations. This approach also includes naturally coupling to sources. The strong analogies between electromagnetism and acoustics suggest further productive inquiry, particularly regarding the nature of the apparent spacetime symmetries inherent to acoustic fields.Comment: 26 pages, 1 figure, published versio

Acoustic versus Electromagnetic Field Theory: Scalar, Vector, Spinor Representations and the Emergence of Acoustic Spin

We construct a novel Lagrangian representation of acoustic field theory that describes the local vector properties of longitudinal (curl-free) acoustic fields. In particular, this approach accounts for the recently-discovered nonzero spin angular momentum density in inhomogeneous sound fields in fluids or gases. The traditional acoustic Lagrangian representation with a scalar potential is unable to describe such vector properties of acoustic fields adequately, which are however observable via local radiation forces and torques on small probe particles. By introducing a displacement vector potential analogous to the electromagnetic vector potential, we derive the appropriate canonical momentum and spin densities as conserved Noether currents. The results are consistent with recent theoretical analyses and experiments. Furthermore, by an analogy with dual-symmetric electromagnetic field theory that combines electric- and magnetic-potential representations, we put forward an acoustic spinor representation combining the scalar and vector representations. This approach also includes naturally coupling to sources. The strong analogies between electromagnetism and acoustics suggest further productive inquiry, particularly regarding the nature of the apparent spacetime symmetries inherent to acoustic fields