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1933 1
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1938 2
1943 1
1944 1
1945 1
1946 3
1947 3
1948 4
1949 1
1950 1
1951 3
1952 1
1953 2
1954 4
1955 4
1957 3
1958 1
1962 5
1963 2
1964 4
1965 4
1966 4
1967 5
1968 4
1969 5
1970 7
1971 6
1972 7
1973 4
1974 4
1975 6
1976 5
1977 6
1978 3
1979 6
1980 4
1981 14
1982 8
1983 9
1984 18
1985 14
1986 24
1987 22
1988 18
1989 15
1990 13
1991 11
1992 23
1993 22
1994 25
1995 27
1996 31
1997 37
1998 46
1999 28
2000 51
2001 47
2002 56
2003 55
2004 74
2005 96
2006 102
2007 90
2008 116
2009 137
2010 137
2011 182
2012 177
2013 185
2014 247
2015 274
2016 279
2017 290
2018 366
2019 330
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2025 370
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5,545 results

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Page 1
Quantum probability and Hilbert's sixth problem.
Accardi L. Accardi L. Philos Trans A Math Phys Eng Sci. 2018 Apr 28;376(2118):20180030. doi: 10.1098/rsta.2018.0030. Philos Trans A Math Phys Eng Sci. 2018. PMID: 29555809 Review.
Thus, to meet Hilbert's challenge, an axiomatization should account deductively for the basic features of all three disciplines. ...The present paper surveys the quantum probabilistic axiomatization.This article is part of the themed issue 'Hilbert's s …
Thus, to meet Hilbert's challenge, an axiomatization should account deductively for the basic features of all three discipline …
Discussing Hilbert's 24th problem.
Hipolito I, Kahle R. Hipolito I, et al. Philos Trans A Math Phys Eng Sci. 2019 Mar 11;377(2140):20180040. doi: 10.1098/rsta.2018.0040. Philos Trans A Math Phys Eng Sci. 2019. PMID: 30966977 Free PMC article. No abstract available.
Hilbert's problems, Kant, and decidability.
Bodner M. Bodner M. Arch Hist Exact Sci. 2025;79(1):12. doi: 10.1007/s00407-025-00350-y. Epub 2025 Aug 11. Arch Hist Exact Sci. 2025. PMID: 40809804 Free PMC article.
I show on the basis of unpublished sources how Hilbert's conviction of the solvability of all mathematical problems originated from an engagement with Kant's philosophy of mathematics. Furthermore, I consider other sense of the "solvability" or "decidability" of mat …
I show on the basis of unpublished sources how Hilbert's conviction of the solvability of all mathematical problems originated …
Quantum Hilbert Hotel.
Potoček V, Miatto FM, Mirhosseini M, Magaña-Loaiza OS, Liapis AC, Oi DK, Boyd RW, Jeffers J. Potoček V, et al. Phys Rev Lett. 2015 Oct 16;115(16):160505. doi: 10.1103/PhysRevLett.115.160505. Epub 2015 Oct 15. Phys Rev Lett. 2015. PMID: 26550858 Free article.
In 1924 David Hilbert conceived a paradoxical tale involving a hotel with an infinite number of rooms to illustrate some aspects of the mathematical notion of "infinity." In continuous-variable quantum mechanics we routinely make use of infinite state spaces: here we show …
In 1924 David Hilbert conceived a paradoxical tale involving a hotel with an infinite number of rooms to illustrate some aspects of t …
Hilbert's axiomatic method and Carnap's general axiomatics.
Stöltzner M. Stöltzner M. Stud Hist Philos Sci. 2015 Oct;53:12-22. doi: 10.1016/j.shpsa.2015.05.005. Epub 2015 Jun 9. Stud Hist Philos Sci. 2015. PMID: 26386526
The distinct perspectives become visible most clearly in how Richard Baldus, along the lines of Hilbert, and Carnap and Friedrich Bachmann analyzed the axiom system of Hilbert's Foundations of Geometry-the paradigmatic example for the axiomatization of scienc …
The distinct perspectives become visible most clearly in how Richard Baldus, along the lines of Hilbert, and Carnap and Friedrich Bac …
Hilbert's sixth problem: the endless road to rigour.
Gorban AN. Gorban AN. Philos Trans A Math Phys Eng Sci. 2018 Apr 28;376(2118):20170238. doi: 10.1098/rsta.2017.0238. Philos Trans A Math Phys Eng Sci. 2018. PMID: 29555808 Free PMC article.
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'....
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 …
Hilbert's Hotel in polarization singularities.
Wang Y, Gbur G. Wang Y, et al. Opt Lett. 2017 Dec 15;42(24):5154-5157. doi: 10.1364/OL.42.005154. Opt Lett. 2017. PMID: 29240161
We demonstrate theoretically how the creation of polarization singularities by the evolution of a fractional nonuniform polarization optical element involves the peculiar mathematics of countably infinite sets in the form of "Hilbert's Hotel." Two distinct topologic …
We demonstrate theoretically how the creation of polarization singularities by the evolution of a fractional nonuniform polarization optical …
Scale matters.
Margolin LG. Margolin LG. Philos Trans A Math Phys Eng Sci. 2018 Apr 28;376(2118):20170235. doi: 10.1098/rsta.2017.0235. Philos Trans A Math Phys Eng Sci. 2018. PMID: 29555806 Free PMC article.
I discuss the properties of that model and its relation to the discrete equations of computational fluid dynamics.This article is part of the theme issue 'Hilbert's sixth problem'....
I discuss the properties of that model and its relation to the discrete equations of computational fluid dynamics.This article is part of th …
The problem of proof identity, and why computer scientists should care about Hilbert's 24th problem.
Straßburger L. Straßburger L. Philos Trans A Math Phys Eng Sci. 2019 Mar 11;377(2140):20180038. doi: 10.1098/rsta.2018.0038. Philos Trans A Math Phys Eng Sci. 2019. PMID: 30966973
In this short overview article, I will discuss the problem of proof identity and explain how it is related to Hilbert's 24th problem. I will also argue that not knowing when two proofs are 'the same' has embarrassing consequences not only for proof theory but also f …
In this short overview article, I will discuss the problem of proof identity and explain how it is related to Hilbert's 24th p …
Hilbert-curve assisted structure embedding method.
Zahoránszky-Kőhalmi G, Wan KK, Godfrey AG. Zahoránszky-Kőhalmi G, et al. J Cheminform. 2024 Jul 29;16(1):87. doi: 10.1186/s13321-024-00850-z. J Cheminform. 2024. PMID: 39075547 Free PMC article.
The intricately folded line is referred to as a pseudo-Hilbert-Curve. The embedding of a compound happens by locating its most similar reference scaffold in the pseudo-Hilbert-Curve and assuming the respective position. ...SCIENTIFIC CONTRIBUTION: The novelty of HCA …
The intricately folded line is referred to as a pseudo-Hilbert-Curve. The embedding of a compound happens by locating its most simila …
5,545 results