Results 251 to 260 of about 341,235 (326)

Aspect perception and rule‐following in Wittgenstein's Philosophical Investigations

open access: yesPhilosophical Investigations, Volume 49, Issue 1, Page 74-96, January 2026.
Abstract This paper aims to highlight a distinctive, projective, mode of aspect perception within Wittgenstein's philosophy that has gone underappreciated in the scholarly literature. Although it bears a family resemblance to other instances of the phenomenon Wittgenstein describes as ‘noticing an aspect’ in PI Part II §113, it is distinctive in that ...
James Connelly
wiley   +1 more source

On a rigidity property for quadratic gauss sums

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
wiley   +1 more source

On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract A classical consequence of the John Ellipsoid Theorem is the upper bound n$\sqrt {n}$ on the Banach–Mazur distance between the Euclidean ball and any symmetric convex body in Rn$\mathbb {R}^n$. Equality is attained for the parallelotope and the cross‐polytope. While it is known that they are unique with this property for n=2$n=2$ but not for n⩾
Florian Grundbacher, Tomasz Kobos
wiley   +1 more source

A Covering pursuit game

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract In the “Covering” pursuit game on a graph, a robber and a set of cops play alternately, with the cops each moving to an adjacent vertex (or not moving) and the robber moving to a vertex at distance at most 2 from his current vertex. The aim of the cops is to ensure that, after every one of their turns, there is a cop at the same vertex as the ...
Benjamin Gillott
wiley   +1 more source

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