Results 1 to 10 of about 20,179 (255)
Some of the next articles are maybe not open access.
Category theory, applications to the foundations of mathematics
2018Since the 1960s Lawvere has distinguished two senses of the foundations of mathematics. Logical foundations use formal axioms to organize the subject. The other sense aims to survey ‘what is universal in mathematics’. The ontology of mathematics is a third, related issue.
openaire +1 more source
On graph theoretical SAR and the mathematical theory of categories
Journal of Molecular Structure: THEOCHEM, 1991Abstract Chemical graph theory provides a special framework for solving many structure-activity relationship (SAR) problems such as boiling points, resonance energies, and pharmacological properties. The theorems by Muirhead (1901) and Karamata (1932), whereby certain sequences of numbers may be compared, have been used to establish SARs.
openaire +1 more source
Category Theory and Structuralism in Mathematics: Syntactical Considerations
1997Thus, to be is to be related and the “essence” of an “entity” is given by its relations to its “environment”. This claim is striking: it seems to describe perfectly well the way objects of a category are characterized and studied. Consider, for instance, the fundamental notion of product in a category C: a product for two objects A and B of C is an ...
openaire +1 more source
Category Theory and the Foundations of Mathematics
The British Journal for the Philosophy of Science, 1981openaire +1 more source
Category theory and foundations of life science: A structuralist perspective on cognition
BioSystems, 2021Yoshihiro Maruyama
exaly