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American Journal of Mathematics, Pure and Applied [PDF]

open access: yesNature, 1880
THE American Journal of Mathematics was established in 1878 under the auspices of the Johns Hopkins University at Baltimore, and four handsome quarto volumes of 400 pages each have now been published. Prof. Sylvester was editor-in-chief of the first three volumes, being assisted by Mr.
J. Glaisher
semanticscholar   +3 more sources

On the Importance of Pure Mathematics [PDF]

open access: yesJournal of Mathematics and Statistics, 2014
F. Kachapova
semanticscholar   +3 more sources

Computational Discovery in Pure Mathematics

open access: yesComputational Discovery of Scientific Knowledge, 2007
We discuss what constitutes knowledge in pure mathematics and how new advances are made and communicated. We describe the impact of computer algebra systems, automated theorem provers, programs designed to generate examples, mathematical databases, and theory formation programs on the body of knowledge in pure mathematics. We discuss to what extent the
S. Colton
semanticscholar   +3 more sources

ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics [PDF]

open access: yesarXiv.org, 2023
We introduce ProofNet, a benchmark for autoformalization and formal proving of undergraduate-level mathematics. The ProofNet benchmarks consists of 371 examples, each consisting of a formal theorem statement in Lean 3, a natural language theorem ...
Zhangir Azerbayev   +5 more
semanticscholar   +1 more source

Mathematics, word problems, common sense, and artificial intelligence [PDF]

open access: yesBulletin of the American Mathematical Society, 2023
The paper discusses the capacities and limitations of current artificial intelligence (AI) technology to solve word problems that combine elementary mathematics with commonsense reasoning. No existing AI systems can solve these reliably.
E. Davis
semanticscholar   +1 more source

Purifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomy

open access: yesEuropean Journal for Philosophy of Science, 2021
In this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive components within pure mathematics, like axiomatization and theory-building in general.
José Antonio Pérez-Escobar   +1 more
semanticscholar   +1 more source

Advancing mathematics by guiding human intuition with AI

open access: yesNature, 2021
The practice of mathematics involves discovering patterns and using these to formulate and prove conjectures, resulting in theorems. Since the 1960s, mathematicians have used computers to assist in the discovery of patterns and formulation of ...
A. Davies   +13 more
semanticscholar   +1 more source

The relation between attitudes towards mathematics and dropout from university mathematics—the mediating role of satisfaction and achievement

open access: yesEducational Studies in Mathematics, 2023
The transition from school to university mathematics is a challenging process for many students, which is reflected in high dropout rates during the first year at university.
Sebastian Geisler   +2 more
semanticscholar   +1 more source

Mathematics self-concept and challenges of learners in an online learning environment during COVID-19 pandemic

open access: yesSmart Learning Environments, 2021
In this mixed-methods research, the relationship between four factors of individual online learners and their mathematics self-concept was explored. In addition, the challenges the students faced in learning mathematics online during the Coronavirus ...
R. Bringula   +3 more
semanticscholar   +1 more source

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