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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

Qualitative (pure) mathematics as an alternative to measurement. [PDF]

open access: yesFront Psychol
This paper focuses on the possible usage of qualitative mathematics in psychology. Qualitative mathematics is understood to be equivalent to pure mathematics. First, it is explained that mathematics is a discipline studying patterns in reproducible mental objects.
Linkov V.
europepmc   +4 more sources

Expander Graphs in Pure and Applied Mathematics [PDF]

open access: greenBulletin of the American Mathematical Society, 2011
This paper is based on notes prepared for the Colloquium Lectures at the Joint Annual Meeting of the American Mathematical Society (AMS) and the Mathematical Association of America (MAA).
Alexander Lubotzky
openalex   +5 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

German Idealism and the Origins of Pure Mathematics: Riemann, Dedekind, Cantor [PDF]

open access: yesJournal of Philosophical Investigations, 2021
When it comes to the relation of modern mathematics and philosophy, most people tend to think of the three major schools of thought—i.e. logicism, formalism, and intuitionism—that emerged as profound researches on the foundations and nature of ...
Ehsan Karimi Torshizi
doaj   +1 more source

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

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