Results 11 to 20 of about 437,997 (287)

Application of Modified Flanders Interaction Analysis During Mathematics Lessons in Lagos State Senior Secondary Schools [version 2; peer review: 1 approved, 2 approved with reservations] [PDF]

F1000Research
Objective This study examined the application of Modified Flanders Interaction Analysis during mathematics lessons in senior secondary schools in the Festac area of Lagos State, Nigeria.
Alawaye Modupe, Taiwo Olufunmi, Opesemowo Oluwaseyi Aina Gbolade, Etobro Benjamin Apkesi   +3 more
doaj   +2 more sources

The evolutionary and developmental foundations of mathematics. [PDF]

PLoS Biology, 2008
Michael J Beran
doaj   +2 more sources

Does Set Theory Really Ground Arithmetic Truth?

Axioms, 2022
We consider the foundational relation between arithmetic and set theory. Our goal is to criticize the construction of standard arithmetic models as providing grounds for arithmetic truth. Our method is to emphasize the incomplete picture of both theories
Alfredo Roque Freire
doaj   +1 more source

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

Journal 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

Foundations of Mathematics and Mathematical Practice. The Case of Polish Mathematical School

Studia Historiae Scientiarum, 2022
The foundations of mathematics cover mathematical as well as philosophical problems. At the turn of the 20th century logicism, formalism and intuitionism, main foundational schools were developed.
Jan Woleński
doaj   +1 more source

An Efficient Approach to Point-Counting on Elliptic Curves from a Prominent Family over the Prime Field ${\mathbb{F}}_p$

Mathematics, 2021
Here, we elaborate an approach for determining the number of points on elliptic curves from the family Ep={Ea:y2=x3+a(modp),a≠0}, where p is a prime number >3. The essence of this approach consists in combining the well-known Hasse bound with an explicit
Yuri Borissov, Miroslav Markov
doaj   +1 more source

A Finitely Axiomatized Non-Classical First-Order Theory Incorporating Category Theory and Axiomatic Set Theory

Axioms, 2021
It is well known that Zermelo-Fraenkel Set Theory (ZF), despite its usefulness as a foundational theory for mathematics, has two unwanted features: it cannot be written down explicitly due to its infinitely many axioms, and it has a countable model due ...
Marcoen J. T. F. Cabbolet
doaj   +1 more source

Set Theory, Dynamism, and the Event: Reinjecting Time into the Foundations of Mathematics

Axioms, 2022
This article concentrates on exploring the relevance of the postmodernist concept of the event to mathematical philosophy and the foundations of mathematics.
Said Mikki
doaj   +1 more source

From Plato to Weil and beyond: Genericity through the history of mathematics

Khronos, 2020
At the end of the 19th century, genericity took an important step toward mathematical analysis, due to the developments promoted by the Italian school of algebraic geometry.
Renato Reis Leme, Giorgio Venturi
doaj   +1 more source

Kant and new mathematics 100 years later [PDF]

Кантовский сборник, 2015
Cassirer’s critique of Russell’s philosophy of mathematics and the Neo-Kantian philosophy of science and mathematics as a whole is of special relevance in the context of modern mathematics and mathematical physics.
Rodin A.
doaj   +1 more source