Agent-based modeling: the right mathematics for the social sciences?

PL Borrill, L Tesfatsion - The Elgar companion to recent economic …, 2011 - elgaronline.com
As in the physical sciences, theoretical modeling in the social sciences typically entails the
specification and analysis of parameterized systems of differential equations. Many critical …

[图书][B] From perception to communication: a theory of types for action and meaning

R Cooper - 2023 - library.oapen.org
The aim of this book is to characterize a notion of type which will cover both linguistic and
non-linguistic action and to lay the foundations for a theory of action based on a theory of …

A critique of a formalist-mechanist version of the justification of arguments in mathematicians' proof practices

Y Rav - Philosophia Mathematica, 2007 - ieeexplore.ieee.org
In a recent article, Azzouni has argued in favor of a version of formalism according to which
ordinary mathematical proofs indicate mechanically checkable derivations. This is taken to …

[图书][B] Definitions derived from neutrosophics

F Smarandache - 2003 - books.google.com
Page 1 Definitions Derived from Neutrosophics Florentin Smarandache Department of
Mathematics University of New Mexico 200 College Road Gallup, NM 87301, USA Abstract …

Social constructivism in mathematics? The promise and shortcomings of Julian Cole's institutional account

J Rytilä - Synthese, 2021 - Springer
The core idea of social constructivism in mathematics is that mathematical entities are social
constructs that exist in virtue of social practices, similar to more familiar social entities like …

Abstraction, equality and univalence

G Catren - … Transactions of the Royal Society A, 2023 - royalsocietypublishing.org
We shall propose a conceptual-oriented discussion of the so-called Univalent Foundations
Program, that is, of Martin–Löf type theory enriched with a homotopic interpretation, together …

Bases of pseudocompact Bishop spaces

I Petrakis - Handbook of Constructive Mathematics, 2023 - cambridge.org
In his seminal book Foundations of Constructive Analysis [3] the great analyst Errett Bishop
(1928–1983) redeveloped constructively a large part of mathematical analysis. He used …

Conceptions of truth in intuitionism

P Raatikainen - History and Philosophy of Logic, 2004 - Taylor & Francis
Intuitionism's disagreement with classical logic is standardly based on its specific
understanding of truth. But different intuitionists have actually explicated the notion of truth in …

Constructive axiomatics in spacetime physics Part II: Constructive axiomatics in context

E Adlam, N Linnemann, J Read - arXiv preprint arXiv:2211.05672, 2022 - arxiv.org
The Ehlers-Pirani-Schild (EPS) constructive axiomatisation of general relativity, published in
1972, purports to build up the kinematical structure of that theory from only axioms which …

Maximal ideals in countable rings, constructively

I Blechschmidt, P Schuster - Conference on Computability in Europe, 2022 - Springer
The existence of a maximal ideal in a general nontrivial commutative ring is tied together
with the axiom of choice. Following Berardi, Valentini and thus Krivine but using the relative …