Hilbert's sixth problem: The endless road to rigour

A. N. Gorban; Isabelle Gallagher; Leo Corry; Masanao Ozawa; Katalin Hangos; François Golse; Giacomo Mauro D'Ariano; Marshall Slemrod

doi:10.1098/rsta.2017.0238

Hilbert's sixth problem: The endless road to rigour

A. N. Gorban
, Isabelle Gallagher
, Leo Corry
, Masanao Ozawa
, Katalin Hangos
, François Golse
, Giacomo Mauro D'Ariano
, Marshall Slemrod

University of Leicester
Laboratoire de Probabilités et Modèles Aléatoires
Tel Aviv University
Nagoya University
Hungarian Academy of Sciences
Università di Milano-Bicocca
University of Wisconsin-Madison

Research output: Contribution to journal › Review article › peer-review

Abstract

In this introduction, the essence of the sixth problem is discussed and the content of this issue is introduced. This article is part of the theme issue 'Hilbert's sixth problem'.

Original language	English
Article number	0238
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	376
Issue number	2118
DOIs	https://doi.org/10.1098/rsta.2017.0238
Publication status	Published - 28 Apr 2018

Keywords

Axiomatizing
Continuum mechanics
Hilbert
Kinetics
Physics
Quantum physics

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10.1098/rsta.2017.0238

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title = "Hilbert's sixth problem: The endless road to rigour",

abstract = "In this introduction, the essence of the sixth problem is discussed and the content of this issue is introduced. This article is part of the theme issue 'Hilbert's sixth problem'.",

keywords = "Axiomatizing, Continuum mechanics, Hilbert, Kinetics, Physics, Quantum physics",

author = "Gorban, \{A. N.\} and Isabelle Gallagher and Leo Corry and Masanao Ozawa and Katalin Hangos and Fran{\c c}ois Golse and D'Ariano, \{Giacomo Mauro\} and Marshall Slemrod",

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doi = "10.1098/rsta.2017.0238",

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AU - Gorban, A. N.

AU - Gallagher, Isabelle

AU - Corry, Leo

AU - Ozawa, Masanao

AU - Hangos, Katalin

AU - Golse, François

AU - D'Ariano, Giacomo Mauro

AU - Slemrod, Marshall

PY - 2018/4/28

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N2 - In this introduction, the essence of the sixth problem is discussed and the content of this issue is introduced. This article is part of the theme issue 'Hilbert's sixth problem'.

AB - In this introduction, the essence of the sixth problem is discussed and the content of this issue is introduced. This article is part of the theme issue 'Hilbert's sixth problem'.

KW - Axiomatizing

KW - Continuum mechanics

KW - Hilbert

KW - Kinetics

KW - Physics

KW - Quantum physics

U2 - 10.1098/rsta.2017.0238

DO - 10.1098/rsta.2017.0238

M3 - Review article

C2 - 29555808

AN - SCOPUS:85045579950

SN - 1364-503X

VL - 376

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2118

M1 - 0238

ER -

Hilbert's sixth problem: The endless road to rigour

Abstract

Keywords

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