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Even happy mousehunters want #safestreets everyday, not just #caturday

Even happy mousehunters want #safestreets everyday, not just #caturday

Considerations on Everett J. Nelson's connexive logic
Davide Fazio, Raffaele Mascella
https://arxiv.org/abs/2506.10893 https://ar…

Considerations on Everett J. Nelson's connexive logic
This work explores Everett John Nelson's connexive logic, outlined in his PhD thesis and partially summarized in his 1930 paper \emph{Intensional Relations}, which is obtained by extending the system $\mathsf{NL}$ (reconstructed by E. Mares and F. Paoli) with a weak conjunction elimination rule explicitly assumed in the former but not in the latter. After a preliminary analysis of Nelson's philosophical ideas, we provide an algebraic-relational semantics for his logic and we investigate possibl…

Towards the $p$-adic derived Hecke algebra for weight one forms
Robin Zhang
https://arxiv.org/abs/2506.09139 https://arxiv.org/pdf/25…

Towards the $p$-adic derived Hecke algebra for weight one forms
This note outlines an approach to defining $p$-adic Shimura classes and $p$-adic derived Hecke operators on the completed cohomology of modular curves from upcoming work by the author. After reviewing the modulo-$p$ constructions of Harris and Venkatesh, we formulate a conjecture relating the action of $p$-adic derived Hecke operators on cusp forms of weight $1$ and level $Γ_1(N)$ to the $p$-adic logarithm of the Stark unit for the corresponding adjoint Deligne-Serre representation. This new $…

The Evolution of Rough Sets 1970s-1981
Viktor Marek, Ewa Or{\l}owska, Ivo D\"untsch
https://arxiv.org/abs/2505.03747 https://arx…

The Evolution of Rough Sets 1970s-1981
In this note research and publications by Zdzisław Pawlak and his collaborators from 1970s and 1981 are recalled. Focus is placed on the sources of inspiration which one can identify on the basis of those publications. Finally, developments from 1981 related to rough sets and information systems are outlined.

This https://arxiv.org/abs/2408.00277 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Stochastic Domination of Exit Times for Random Walks and Brownian Motion with Drift
In this note, by an elementary use of Girsanov's transform we show that the exit time for either a biased random walk or a drifted Brownian motion on a symmetric interval is stochastically monotone with respect to the drift parameter. In the random walk case, this gives an alternative proof of a recent result of E. Peköz and R. Righter in 2024. Our arguments in both discrete and continuous cases are parallel to each other. We also outline a simple SDE proof for the Brownian case based on a sta…