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The crisis in the reproducibility of experiments invites a re-evaluation of methods of inquiry and validation procedures. The text challenges current assumptions of knowledge acquisition and introduces G-complexity for defining decidable…

Other Quantitative Biology · Quantitative Biology 2016-12-09 Mihai Nadin

Phenomenology is the rigorous descriptive study of conscious experience. Recent attempts to formalize Husserlian phenomenology provide us with a mathematical model of perception as a function of prior knowledge and expectation. In this…

Neurons and Cognition · Quantitative Biology 2022-10-31 Mahault Albarracin , Riddhi J. Pitliya , Maxwell J. D. Ramstead , Jeffrey Yoshimi

This essay is the first systematic account of causal relationships between measurement instruments and the data they elicit in the social sciences. This problem of reflexive measurement is pervasive and profoundly affects social scientific…

Physics and Society · Physics 2022-08-15 James Michelson

According to the dominant view, time in perceptual decision making is used for integrating new sensory evidence. Based on a probabilistic framework, we investigated the alternative hypothesis that time is used for gradually refining an…

Neurons and Cognition · Quantitative Biology 2015-02-12 Máté Lengyel , Ádám Koblinger , Marjena Popović , József Fiser

Information integration plays a pivotal role in biomedical studies by facilitating the combination and analysis of independent datasets from multiple studies, thereby uncovering valuable insights that might otherwise remain obscured due to…

Methodology · Statistics 2024-07-02 Chixiang Chen , Jia Liang , Elynn Chen , Ming Wang

A representative researcher has repeated opportunities for empirical research. To process findings, she must impose an "identifying assumption." She conducts research when the assumption is sufficiently plausible (taking into account both…

Theoretical Economics · Economics 2025-01-17 Andrew Ellis , Ran Spiegler

Experimental activities are an essential part of physics education. In addition to conveying scientific knowledge, they play a significant role in developing scientific literacy, inquiry skills, and critical thinking. In today's world,…

Physics Education · Physics 2025-12-10 Miriam Spodniaková Pfefferová , Martin Plesch

Experimentation is an intrinsic part of research in artificial intelligence since it allows for collecting quantitative observations, validating hypotheses, and providing evidence for their reformulation. For that reason, experimentation…

Artificial Intelligence · Computer Science 2024-02-14 Josu Ceberio , Borja Calvo

Statistical analysis is an important tool to distinguish systematic from chance findings. Current statistical analyses rely on distributional assumptions reflecting the structure of some underlying model, which if not met lead to problems…

Statistics Theory · Mathematics 2023-11-15 Orestis Loukas , Ho Ryun Chung

Contemporary perspectivism is viewed as a framework of scientific inquiry concerning the origin, generation and systematization of scientific knowledge of nature by focusing on the conditions under which such knowledge may arise in…

History and Philosophy of Physics · Physics 2025-11-11 Vassilios Karakostas , Elias Zafiris

Inference is the process of using facts we know to learn about facts we do not know. A theory of inference gives assumptions necessary to get from the former to the latter, along with a definition for and summary of the resulting…

Machine Learning · Statistics 2021-09-27 Beau Coker , Cynthia Rudin , Gary King

Modern physics is founded on two mainstays: mathematical modelling and empirical verification. These two assumptions are prerequisite for the objectivity of scientific discourse. Here we show, however, that they are contradictory, leading…

History and Philosophy of Physics · Physics 2019-04-09 Michał Eckstein , Paweł Horodecki

In this article, we employ mathematical concepts as a tool to examine the phenomenon of consciousness experience and logical phenomena. Through our investigation, we aim to demonstrate that our experiences, while not confined to…

Neurons and Cognition · Quantitative Biology 2024-01-23 Kazem Haghnejad Azar

To estimate causal effects from observational data, an applied researcher must impose beliefs. The instrumental variables exclusion restriction, for example, represents the belief that the instrument has no direct effect on the outcome of…

Econometrics · Economics 2020-11-17 Francis J. DiTraglia , Camilo Garcia-Jimeno

Motivated by a generalization of Hempel's dilemma, I introduce a novel notion of empirical structure, as well as theory supervenience as a new reductive relationship between theories. One theory supervenes on another theory if the empirical…

History and Philosophy of Physics · Physics 2025-07-29 Balazs Gyenis

Consciousness has been hypothesized to operate as a global workspace, which accesses and integrates multimodal information in a unified manner, supports expectation violation monitoring and reduction, and the motivation, programming and…

Neurons and Cognition · Quantitative Biology 2025-11-26 D. Rudrauf , G. Sergeant-Perthuis , O. Belli , Y. Tisserand , G. Di Marzo Serugendo

The problem of induction has persisted since Hume exposed the logical gap between repeated observation and universal inference. Traditional attempts to resolve it have oscillated between two extremes: the probabilistic optimism of Laplace…

Other Statistics · Statistics 2025-11-06 Tommaso Costa

Decision analysis deals with modeling and enhancing decision processes. A principal challenge in improving behavior is in obtaining a transparent description of existing behavior in the first place. In this paper, we develop an expressive,…

Machine Learning · Statistics 2023-10-31 Daniel Jarrett , Alihan Hüyük , Mihaela van der Schaar

With the growing capabilities and pervasiveness of AI systems, societies must collectively choose between reduced human autonomy, endangered democracies and limited human rights, and AI that is aligned to human and social values, nurturing…

Artificial Intelligence · Computer Science 2023-07-13 Catholijn M. Jonker , Luciano Cavalcante Siebert , Pradeep K. Murukannaiah

While Large language models (LLMs) have the capability to iteratively reflect on their own outputs, recent studies have observed their struggles with knowledge-rich problems without access to external resources. In addition to the…

Computation and Language · Computer Science 2024-06-25 Hanqi Yan , Qinglin Zhu , Xinyu Wang , Lin Gui , Yulan He