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In Mathematical Thought and Its Objects, Charles Parsons argues that our knowledge of the iterability of functions on the natural numbers and of the validity of complete induction is not intuitive knowledge; Brouwer disagrees on both…

History and Overview · Mathematics 2015-10-06 Mark van Atten

Understanding how molecular structure gives rise to odor perception remains a long-standing challenge, with ongoing debate over whether olfaction is primarily governed by molecular shape, vibrational properties, or their interplay at the…

Materials Science · Physics 2026-04-14 P. Zanineli , E. V. C. Lopes , G. R. Schleder , L. N. Lemos , F. Crasto de Lima , A. Fazzio

Both empirical and theoretical objective science can only access relations, revealing nothing about the intrinsic nature of the entities "in relation". We typically refer to these entities as "matter", assuming their nature is irrelevant…

Quantum Physics · Physics 2025-03-18 Ovidiu Cristinel Stoica

Finding general principles underlying brain function has been appealing to scientists. Indeed, in some branches of science like physics and chemistry (and to some degree biology) a general theory often can capture the essence of a wide…

Neurons and Cognition · Quantitative Biology 2023-12-22 Shervin Safavi

Human similarity judgments are inconsistent with Euclidean, Hamming, Mahalanobis, and the majority of measures used in the extensive literatures on similarity and dissimilarity. From intrinsic properties of brain circuitry, we derive…

Neurons and Cognition · Quantitative Biology 2017-09-27 Antonio M Rodriguez , Richard Granger

The feeling of a moving present or `now' seems to form part of our most basic perceptions about reality. Such a present, however, is not reflected in any of our theories of the physical world. In this short note I argue for a tenseless view…

History and Philosophy of Physics · Physics 2012-05-07 Gustavo E. Romero

Active visual perception refers to the ability of a system to dynamically engage with its environment through sensing and action, allowing it to modify its behavior in response to specific goals or uncertainties. Unlike passive systems that…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Yian Li , Xiaoyu Guo , Hao Zhang , Shuiwang Li , Xiaowei Dai

Biological intelligence systems of animals perceive the world by integrating information in different modalities and processing simultaneously for various tasks. In contrast, current machine learning research follows a task-specific…

Computer Vision and Pattern Recognition · Computer Science 2021-12-03 Xizhou Zhu , Jinguo Zhu , Hao Li , Xiaoshi Wu , Xiaogang Wang , Hongsheng Li , Xiaohua Wang , Jifeng Dai

The present paper presents a new general conception of interaction between physical systems, differing significantly from that of both classical physics and quantum physics as generally understood. We believe this conception could provide…

General Physics · Physics 2007-12-18 Danil Doubochinski , Jonathan Tennenbaum

We propose Perceptual Taxonomy, a structured process of scene understanding that first recognizes objects and their spatial configurations, then infers task-relevant properties such as material, affordance, function, and physical attributes…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Jonathan Lee , Xingrui Wang , Jiawei Peng , Luoxin Ye , Zehan Zheng , Tiezheng Zhang , Tao Wang , Wufei Ma , Siyi Chen , Yu-Cheng Chou , Prakhar Kaushik , Alan Yuille

Regular $g$-measures are discrete-time processes determined by conditional expectations with respect to the past. One-dimensional Gibbs measures, on the other hand, are fields determined by simultaneous conditioning on past and future. For…

Probability · Mathematics 2011-06-22 Roberto Fernández , Sandro Gallo , Grégory Maillard

Living systems transmit heritable information using the replicating gene sequences and the cycling regulators assembled around gene sequences. Here I develop a framework for heredity and development that includes the cycling regulators…

Other Quantitative Biology · Quantitative Biology 2020-03-03 Antony M Jose

The observation of the nature and world represents the main source of human knowledge on the basis of our reason. At the present it is also the use of precise measurement approaches, which may contribute significantly to the knowledge of…

History and Philosophy of Physics · Physics 2007-10-18 Milos V. Lokajicek

Complex systems are fascinating because their rich macroscopic properties emerge from the interaction of many simple parts. Understanding the building principles of these emergent phenomena in nature requires assessing natural complex…

Neurons and Cognition · Quantitative Biology 2022-11-17 Anna Levina , Viola Priesemann , Johannes Zierenberg

Perception is often viewed as a process that transforms physical variables, external to an observer, into internal psychological variables. Such a process can be modeled by a function coined perceptual scale. The perceptual scale can be…

Neurons and Cognition · Quantitative Biology 2024-03-19 Jonathan Vacher , Pascal Mamassian

One of the presuppositions of science since the times of Galileo, Newton, Laplace, and Descartes has been the predictability of the world. This idea has strongly influenced scientific and technological models. However, in recent decades,…

Adaptation and Self-Organizing Systems · Physics 2011-12-19 Carlos Gershenson

Scientific studies of consciousness rely on objects whose existence is assumed to be independent of any consciousness. On the contrary, we assume consciousness to be fundamental, and that one of the main features of consciousness is…

Neurons and Cognition · Quantitative Biology 2021-02-26 Camilo Miguel Signorelli , Quanlong Wang , Ilyas Khan

A set of general physical principles is proposed as the structural basis for the theory of complex systems. First the concept of harmony is analyzed and its different aspects are uncovered. Then the concept of reflection is defined and…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. B. Saakian

It is known that a linear hamiltonian system has too many invariant measures, thus the problem of convergence to Gibbs measure has no sense. We consider linear hamiltonian systems of arbitrary finite dimension and prove that, under the…

Mathematical Physics · Physics 2013-02-21 A. A. Lykov , V. A. Malyshev

Two universal functional principles of Adaptive Resonance Theory simulate the brain code of all biological learning and adaptive intelligence. Low level representations of multisensory stimuli in their immediate environmental context are…

Neurons and Cognition · Quantitative Biology 2023-03-06 Birgitta Dresp-Langley