Roth's theorem in the primes by Green, B

“…We derive this by giving a new proof of a rather more general result of Bourgain which, because of a close analogy with a classical argument of Tomas and Stein from Euclidean harmonic analysis, might be called a restriction theorem for the primes.…”

The Mere Substitution Defence of nudging works for neurointerventions too by Douglas, T

“…I end by spelling out four stances that the proponent of the defence might adopt in response to my argument. …”

GLUON CONTRIBUTIONS TO SMALL-CHI HEAVY FLAVOR PRODUCTION by Catani, S, Ciafaloni, M, Hautmann, F

“…We show that the large QCD corrections to heavy flavour production due to small x logarithms can be evaluated and resummed in closed form, including the coefficient factor. The argument is based on a k⊥-dependent factorization of the Born and structure function terms which is ascribed to Regge behaviour. …”

Generality, extensibility, and paradox by Studd, J

“…But to reach this conclusion we must dispense with some long-standing concerns over the coherence of the argument from the paradoxes in favour of relativism and a heterodox absolutist response that seeks to reconcile the indefinite extensibility of set with the availability of an absolutely comprehensive domain.…”

A note on the Harris-Kesten Theorem by Bollobas, B, Riordan, O

“…Here we point out that a key part of this proof may be replaced by an argument of Russo from 1982, using his approximate zero-one law in place of the Friedgut-Kalai result. …”

Why poor people do not move: job search behaviour and disequilibrium amongst local labor markets by Clark, G, Whiteman, J

“…A hypothetical example of two local labor markets is used to illustrate our argument.…”

A multiverse perspective on the axiom of constructibility by Hamkins, J

“…I shall argue that the commonly held V ≠= L via maximize position, which rejects the axiom of constructibility V = L on the basis that it is restrictive, implicitly takes a stand in the pluralist debate in the philosophy of set theory by presuming an absolute background concept of ordinal. The argument appears to lose its force, in contrast, on an upwardly extensible concept of set, in light of the various facts showing that models of set theory generally have extensions to models of V = L inside larger set-Theoretic universes.…”

A transition function expansion for a diffusion model with selection by Barbour, A, Ethier, SN, Griffiths, R

“…The latter process is constructed by means of a coupling argument and characterized as the Ray process corresponding to the Ray-Knight compactification of the K-dimensional nonnegative-integer lattice.…”

Learning to understand others' actions. by Press, C, Heyes, C, Kilner, J

“…The present opinion piece suggests that this argument is flawed. We argue that mirror neurons may both develop through associative learning and contribute to inferences about the actions of others.…”

‘A man of violent and ungovernable temper’: can fiction fill silences in the archives? by Collins, K

“…In this essay I deploy a mixture of nonlinear narrative and theoretical writing to explore the argument that creative ways of responding to archival silences illuminate, and also complicate, our attempts to recover women’s lives from obscurity. …”

International tax competition and coordination with a global minimum tax by Devereux, MP

“…However, there are caveats to this argument in terms of complexity and the incentive to maintain some provisions that are likely to raise little revenue.…”

Bounds for the cubic Weyl sum by Heath-Brown, DR

“…Subject to the abc-conjecture, we improve the standard Weyl estimate for cubic exponential sums in which the argument is a quadratic irrational. Specifically. we show that, for any ε > 0 and any quadratic irrational α ∈ ℝ-ℚ. …”

Changes in behaviour in dementia: a neglected research area. by Fairburn, C, Hope, R

“…A strong argument may be made for the need for systematic research into the behaviour of people with dementia. …”

Comment on "Ellsberg's two-color experiment, portfolio inertia and ambiguity". by Higashi, Y, Mukerji, S, Takeoka, N, Tallon, J

“…We fill in the gap in their argument using additional axioms and argue that these axioms are of their own interest in that they behaviorally separate two prominent models of ambiguity: the maximin expected utility and smooth ambiguity models.…”

THUCYDIDES, APOLLO, THE PLAGUE, AND THE WAR by Kallet, L

“…Thucydides situates references to the plague in various contexts in the narrative, beginning with his account of the suprahuman catastrophes that occurred during the war (1.23) that are woven through the narrative in a seriatim argument that serves methodologically to demonstrate the possibility that Apollo brought the plague to Athens. …”

On the parity between religious and secular reasons by Laborde, C

“…I then focus on one distinctive—yet unexplored—premise of the compatibility argument. This is the thought that religious and secular reasons are essentially on a par, in terms of their contribution to public reasoning. …”

A dual approach to regularity in thin film micromagnetics by Melcher, C

“…A difference quotient type argument based on a dual formulation in terms of magnetostatic potentials yields a Hölder estimate for the uniquely determined gradient projection of the magnetization field. © Springer-Verlag 2007.…”

Time consistency, learning by doing and infant-industry protection: the linear case by Leahy, D, Neary, J

“…The infant-industry argument is thus reversed in the absence of precommitment.…”

Average utilitarianism implies solipsistic egoism by Tarsney, CJ

“…This either (i) constitutes a reductio of these axiologies, (ii) suggests that they require bespoke decision theories, or (iii) furnishes an unexpected argument for ethical egoism.</p>…”

Intuitionism disproved? by Williamson, T

“…Not hoping for anti-realism myself I here show it, lest it be underestimated, to survive the following argument, adapted from W. D.Hart ('Access and Inference', Proceedings of the Aristotelian Society, sup. vol. …”