Results 101 to 110 of about 4,352 (292)
On the Philosophical Roots of the Naïve and Axiomatic Set Theories: Determinatio est Negatio
The principle determinatio est negatio—that determination is achieved through negation—has philosophical roots extending back to Plato and Aristotle, and it later influenced early modern thinkers such as Francisco Suárez and Spinoza.
Osman Gazi Birgül
doaj +1 more source
Abstract Statistical hypothesis testing (SHT) is widely employed across numerous scientific disciplines, and a clear understanding of its underlying logic is essential for the broader scientific community. Here, drawing upon both epistemological and statistical perspectives, we aim to clarify—primarily for educational purposes—the logical relationship ...
Maria Cristina Amoretti +1 more
wiley +1 more source
Cost Sharing, Differential Games, and the Moulin-Shenker Rule [PDF]
The Moulin-Shenker rule (Sprumont (1998)) is a nonlinear solution concept for solving heterogeneous cost sharing problems. The first part of the paper shows an axiomatic characterization of this solution using bounds on cost shares and consistency.
Koster, M.
core
Neural Network Repair With Shapley‐Guided Search
ABSTRACT The deployment of deep neural networks (DNNs) in safety‐critical domains is critically hampered by their vulnerability to defects, which can arise from malicious attacks or low‐quality data. Therefore, precisely locating the network components responsible for these defects, and subsequently repairing them without compromising overall model ...
Xiaofu Du +4 more
wiley +1 more source
Contemporary artificial intelligence (AI) technologies are often presumed to be capable of revealing unmediated truths about the world, including the truths language might hold, echoing the long‐standing assertion that language's primary function is to directly translate reality.
Beth M. Semel
wiley +1 more source
Axiomatic set theory and independence proofs
https://rdc.reed.edu/v1/resources/039d78b7-bdf0-49c5-9a10-895fc0fdf1d8/thumb/128.jpgSet theory gets at the very heart of mathematics. It is concerned with the very nature of numbers, size , and relationships.
Najman, Elizabeth
core
Based on ethnographic research at Rūm Orthodox Christian monasteries in Lebanon, the article studies scenes of Islam at the monastery as they intersect with anxious public debates on, and anthropological theorizations of, sectarianism and ‘Muslim–Christian’ relations in the Mashriq.
Aaron F. Eldridge
wiley +1 more source
This article presents a relational formalization of axiomatic set theory, including so-called ZFC and the anti-foundation axiom (AFA) due to P. Aczel.
Kawahara, Yasuo, 河原, 康雄
core +2 more sources
Complete cuboidal sets in axiomatic domain theory
We study the enrichment of models of axiomatic domain theory. To this end, we introduce a new and broader notion of domain, viz. that of complete cuboidal set, that complies with the axiomatic requirements.
Marcelo Fiore
core
Axiomatic systems for rough sets and fuzzy rough sets
Rough set theory is an important tool for approximate reasoning about data. Axiomatic systems of rough sets are significant for using rough set theory in logical reasoning systems.
Liu, Guilong
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