Results 51 to 60 of about 21,604 (312)

Leopold Kronecker’s conception of the foundations of mathematics

open access: yesPhilosophia Scientiæ, 2005
Kronecker’s views on the foundations of mathematics are often reduced to jokes and regarded as an outdated set of ill-assorted ideas. A closer look however shows that they constitute an original and coherent doctrine justified by epistemological ...
Jacqueline Boniface
doaj   +1 more source

Univalent Foundations of Mathematics [PDF]

open access: yes, 2011
Over the last two years deep and unexpected connections have been discovered between constructive type theories and classical homotopy theory. These connections open a way to construct new foundations of mathematics alternative to the ZFC. These foundations promise to resolve several seemingly unconnected problems-provide a support for categorical and ...
openaire   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

open access: yesFEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar   +4 more
wiley   +1 more source

Only up to isomorphism? Category Theory and the Foundations of Mathematics [PDF]

open access: yes, 2010
Does category theory provide a foundation for mathematics that is autonomous with respect to the orthodox foundation in a set theory such as ZFC? We distinguish three types of autonomy: logical, conceptual, and justificatory.
Pettigrew, Richard, Linnebo, Øystein
core  

Upsetting the Foundations for Mathematics

open access: yesPhilosophia Scientiæ, 2005
Starting with a review of the kinds of questions a foundation for mathematics should address, this paper provides a critique of set theoretical foundations, a proposal that multiple interconnected categorical foundations would be an improvement, and a ...
Lawrence Neff Stout
doaj   +1 more source

The Algebraization of Mathematics: Using Original Sources for Learning Mathematics

open access: yesInovacije u Nastavi, 2020
The knowledge of the processes in the history of mathematics is very useful for a greater and complete comprehension of the foundations and nature of mathematics.
M. R. Massa Esteve
doaj   +1 more source

Mathematics education as a discipline: A critical analysis of metaphysical and epistemological foundations

open access: yesBahir Dar Journal of Education, 2023
Mathematics education is situated at the nexus of mathematics and education. As to my information, graduate programs in mathematics education were on and off at Bahir Dar, Haramaya, and Addis Ababa universities over the last ten years.
Yenealem Ayalew Degu
doaj   +1 more source

Identification of a Shiga toxin A‐derived peptide internalized into Gb3 receptor‐bearing cells via interaction with the Shiga toxin B subunit

open access: yesFEBS Letters, EarlyView.
The process of internalization of the Shiga toxin A subunit via formation of a complex with the Shiga toxin B subunit, which specifically binds to the Gb3 receptor. The peptide is designed to act as a carrier of drugs into cancer cells. Here, we explored the potential of peptides derived from the catalytic A subunit of Shiga toxin (STxA) to be drug ...
Giulia Opassi   +6 more
wiley   +1 more source

Enkele achtergronden van de middeleeuws Islamitische geometrische ornamentiek [PDF]

open access: yes, 2011
Overal in de Islamitische wereld zijn prachtige geometrische patronen te zien in middeleeuwse moskee en en paleizen. Geometrische ornamenten werden al vroeg in de Islamitische traditie gebruikt.
Hogendijk, J.P.   +3 more
core  

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