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System 2 Thinking in OpenAI’s o1-Preview Model: Near-Perfect Performance on a Mathematics Exam

Joost C. F. de Winter, Dimitra Dodou, Yke Bauke Eisma • Computers (2024)

The processes underlying human cognition are often divided into System 1, which involves fast, intuitive thinking, and System 2, which involves slow, deliberate reasoning. Previously, large language models were criticized for lacking the de...

DOAJ Open Access (DOAJ) DOI: 10.3390/computers13110278

Chaotic outbreak in discrete epidemic model with vaccination and quarantine interventions and limited medical resources

Faizal Rifky Fahreza, Moh Hasan, Kiswara Agung Santoso • Majalah Ilmiah Matematika dan Statistika (2025)

The spread of infectious diseases can be analyzed dynamically using a discrete dynamic system. The characteristics of the infectious disease phenomenon are interesting to study as parameters considered in a dynamic system. Some of these inc...

DOAJ Open Access (DOAJ) DOI: 10.19184/mims.v25i1.53689

Review of Public Opinion Dynamics Models

LIU Shuxian, XU Huan, WANG Wei, DENG Le • Jisuanji kexue (2024)

Social network provides a medium for information dissemination,leading to the rapid development of public opinion.Controlling the development direction of public opinion is one of the core issues of public opinion dynamics.However,the publi...

DOAJ Open Access (DOAJ) DOI: 10.11896/jsjkx.230100072

Mathematical Statistics

Keith Knight • Chapman & Hall/CRC eBooks (1999)

Traditional texts in mathematical statistics can seem - to some readers-heavily weighted with optimality theory of the various flavors developed in the 1940s and50s, and not particularly relevant to statistical practice. Mathematical Statis...

OPENALEX DOI: https://doi.org/10.1201/9780367805319

Mathematical Capabilities of ChatGPT

Simon Frieder, Luca Pinchetti, Chevalier Chevalier, Ryan-Rhys Griffiths et al. • neural information processing systems (2023)

We investigate the mathematical capabilities of two iterations of ChatGPT (released 9-January-2023 and 30-January-2023) and of GPT-4 by testing them on publicly available datasets, as well as hand-crafted ones, using a novel methodology. In...

OPENALEX Open Access DOI: https://doi.org/10.52202/075280-1205

Mathematics without Numbers

Geoffrey Paul Hellman (1993)

Abstract Develops a structuralist understanding of mathematics, as an alternative to set‐ or type‐theoretic foundations, that respects classical mathematical truth while minimizing Platonist commitments to abstract entities. Modal logic is ...

OPENALEX DOI: https://doi.org/10.1093/0198240341.001.0001

Mathematics and the Body

Elizabeth de Freitas, Nathalie Sinclair • Cambridge University Press eBooks (2014)

This book explores alternative ways to consider the relationship between mathematics and the material world. Drawing on the philosophy of Gilles Châtelet and the post-humanist materialism of Karen Barad, the authors present an 'inclusive ma...

OPENALEX DOI: https://doi.org/10.1017/cbo9781139600378

On Mathematical Problem Posing.

Edward A. Silver • for the learning of mathematics (1994)

In mathematics classes at all levels of schooling in all countries of the world, students can be observed solving problems. The quality and authenticity of these mathematics problems has been the subject of many discussions and debates in r...

OPENALEX

The Nature of Mathematical Knowledge

Philip Kitcher (1985)

Abstract The Nature of Mathematical Knowledge develops and defends an empiricist approach to mathematical knowledge. After offering an account of a priori knowledge, it argues that none of the available accounts of a priori mathematical kno...

OPENALEX DOI: https://doi.org/10.1093/0195035410.001.0001

The Handbook of Mathematical Cognition

Jamie I. D. Campbell • Psychology Press eBooks (2005)

Part 1: Cognitive Representations for Number and Mathematics. M. Fayol, X. Seron, About Numerical Representations: Insights from Neuropsychological, Experimental and Developmental Studies. M. Brysbaert, Number Recognition in Different Forma...

OPENALEX DOI: https://doi.org/10.4324/9780203998045

Introduction to Mathematical Logic.

Angelo Margaris, Alonzo Church • American Mathematical Monthly (1957)

is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and...

OPENALEX DOI: https://doi.org/10.2307/2310410

A Mathematical Theory of Evidence

Glenn R. Shafer • Princeton University Press eBooks (2020)

Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probabilit...

OPENALEX DOI: https://doi.org/10.2307/j.ctv10vm1qb

Mathematics and Learning Disabilities

David C. Geary • Journal of Learning Disabilities (2004)

Between 5% and 8% of school-age children have some form of memory or cognitive deficit that interferes with their ability to learn concepts or procedures in one or more mathematical domains. A review of the arithmetical competencies of thes...

OPENALEX DOI: https://doi.org/10.1177/00222194040370010201

Robustness of a bisimulation-type faster-than preorder

Katrin Iltgen, Walter Vogler • Electronic Proceedings in Theoretical Computer Science (2009)

TACS is an extension of CCS where upper time bounds for delays can be specified. Luettgen and Vogler defined three variants of bismulation-type faster-than relations and showed that they all three lead to the same preorder, demonstrating th...

DOAJ Open Access (DOAJ) DOI: 10.4204/EPTCS.8.6

Satellite-derived prediction on habitat modelling of skipjack tuna (Katsuwonus pelamis) in the Makassar Strait, Indonesia

Mega L. Syamsuddin, Subiyanto Subiyanto, Tonny Bratasena, Fadli Syamsudin et al. • Geocarto International (2024)

The Makassar Strait is one of the Indonesian Throughflow (ITF) branches that transports warm water masses from the Pacific Ocean to the Indian Ocean. These water masses have a significant impact on oceanographic parameters, which in turn af...

DOAJ Open Access (DOAJ) DOI: 10.1080/10106049.2024.2408281

Cloud point extraction procedure for preconcentration and determination of lead(II) ions using triton X-100 at room temperature

Suljkanović Mersiha, Suljagić Jasmin, Hasić Nusreta, Hodžić Selmina • Acta Periodica Technologica (2019)

A Cloud point extraction (CPE) procedure was presented for preconcentration of lead(II) ions, after complexation by 18-crown-6 (18C6) and extraction with Triton X-100 at proposed experimental conditions. After separation of surfact...

DOAJ Open Access (DOAJ) DOI: 10.2298/APT1950286S

Global quantum correlations in finite-size spin chains

S Campbell, L Mazzola, G De Chiara, T J G Apollaro et al. • New Journal of Physics (2013)

We perform an extensive study of the properties of global quantum correlations in finite-size one-dimensional quantum spin models at finite temperature. By adopting a recently proposed measure for global quantum correlations (Rulli and Sara...

DOAJ Open Access (DOAJ) DOI: 10.1088/1367-2630/15/4/043033