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We show that Carmo and Jones' condition 5(e) conflicts with the other conditions on their models for contrary-to-duty obligations. We then propose a resolution to the conflict.

Logic · Mathematics 2020-09-01 Bjørn Kjos-Hanssen

We offer a technical analysis of the contrary to duty system proposed in Carmo-Jones. We offer analysis/simplification/repair of their system and compare it with our own related system.

Logic · Mathematics 2010-02-17 Dov Gabbay , Karl Schlechta

Carmo and Jones have presented a sequence of candidate axiom systems for conditional obligation between 1997 and 2022. For their most recent system we demonstrate a limited form of deontic explosion: given that a student does not get the…

Logic · Mathematics 2026-04-21 Bjørn Kjos-Hanssen

Several counterexample models to the Nelson-Seiberg theorem have been discovered in previous literature, with generic superpotentials respecting the R-symmetry and non-generic R-charge assignments for chiral fields. This work present a…

High Energy Physics - Theory · Physics 2021-10-28 Zheng Sun , Zipeng Tan , Lu Yang

In this note we elaborate on a recent counter-example to the Nelson-Seiberg theorem and to its generalizations. We provide sufficient conditions for the existence of such counter-examples, finding new ones. We claim that these…

High Energy Physics - Theory · Physics 2020-05-06 Antonio Amariti , Dario Sauro

In this paper, besides a counterexample to Bloch's principle, normality criteria leading to counterexamples to the converse of Bloch's principle in several complex variables are proved. Some Picard-type theorems and their corresponding…

Complex Variables · Mathematics 2022-09-12 Kuldeep Singh Charak , Rahul Kumar

We give a counterexample to a recently conjectured variant of the Penrose inequality.

Differential Geometry · Mathematics 2026-04-30 Sven Hirsch , Yipeng Wang

In this paper, we give a counter-example, in the general case, Kronecker theorem will derive contradiction. Kronecker theorem be correct after removing some conditions.

General Mathematics · Mathematics 2023-05-16 JinHua Fei

Another counter-example to Dirac's Conjecture is presented, which resembles the Cawley model but is so modified as to include second class constraints. The arbitrary function in the general solution to the defining equations of momenta…

Classical Physics · Physics 2019-02-26 Takayuki Hori

The paper presents a counterexample to the Hodge conjecture.

General Mathematics · Mathematics 2020-07-28 Jorma Jormakka

We prove a central limit theorem with aassumptions which are many weak than classical conditions

Probability · Mathematics 2007-05-23 René Blacher

In this short note we give counterexamples to several results related to extension theorems published recently.

Functional Analysis · Mathematics 2013-03-19 Constantin Zalinescu

We present new counterexamples, which provide stronger limitations to sums-differences statements than were previously known. The main idea is to consider non-uniform probability measures.

Combinatorics · Mathematics 2014-10-06 Marius Lemm

We continue to discuss the example presented in \cite{JarPfl2015}. In particular, we clarify some gaps and complete the description of the Shilov boundary.

Complex Variables · Mathematics 2015-10-19 Marek Jarnicki , Peter Pflug

Galles and Pearl claimed that "for recursive models, the causal model framework does not add any restrictions to counterfactuals, beyond those imposed by Lewis's [possible-worlds] framework." This claim is examined carefully, with the goal…

Artificial Intelligence · Computer Science 2013-08-20 Joseph Y. Halpern

Contrastive explanations, where one decision is explained in contrast to another, are supposed to be closer to how humans explain a decision than non-contrastive explanations, where the decision is not necessarily referenced to an…

Computation and Language · Computer Science 2023-10-19 Oliver Eberle , Ilias Chalkidis , Laura Cabello , Stephanie Brandl

We give an example of $C^k$-integrable almost complex structure that does not admit a corresponding $C^{k+1}$-complex coordinate system.

Complex Variables · Mathematics 2021-05-25 Liding Yao

In a ceteris-paribus semantics for deontic logic, a state of affairs where a larger set of prescriptions is respected is preferable to a state of affairs where some of them are violated. Conditional preference nets (CP-nets) are a compact…

Artificial Intelligence · Computer Science 2020-03-25 Roberta Calegari , Andrea Loreggia , Emiliano Lorini , Francesca Rossi , Giovanni Sartor

We construct a class of finitely presented groups where the isomorphism problem is solvable but the commensurability problem is unsolvable. Conversely, we construct a class of finitely presented groups within which the commensurability…

Group Theory · Mathematics 2014-03-24 Goulnara Arzhantseva , Jean-Francois Lafont , Ashot Minasyan

We present a new type of counterexample to the Nelson-Seiberg theorem. It is a generic R-symmetric Wess-Zumino model with nine chiral superfields, including one field of R-charge 2 and no R-charge 0 field. As in previous counterexamples,…

High Energy Physics - Theory · Physics 2022-11-03 James Brister , Zheng Sun
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