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1

An Aristotelian notion of size

Vieri Benci, Mauro Di Nasso, Marco Forti

Journal:

Annals of Pure and Applied Logic

Year:

2006

Language:

english

File:

PDF, 266 KB

english, 2006

2

Alpha-theory: An elementary axiomatics for nonstandard analysis

Vieri Benci, Mauro Di Nasso

Journal:

Expositiones Mathematicae

Year:

2003

Language:

english

File:

PDF, 1.90 MB

english, 2003

3

Numerosities of labelled sets: a new way of counting

Vieri Benci, Mauro Di Nasso

Journal:

Advances in Mathematics

Year:

2003

Language:

english

File:

PDF, 211 KB

english, 2003

4

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || The Theorems of van der Waerden and Hales-Jewett

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 158 KB

english, 2019

5

Combinatorial principles in nonstandard analysis

Mauro Di Nasso, Karel Hrbacek

Journal:

Annals of Pure and Applied Logic

Year:

2003

Language:

english

File:

PDF, 279 KB

english, 2003

6

Ramsey properties of nonlinear Diophantine equations

Di Nasso, Mauro, Luperi Baglini, Lorenzo

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 617 KB

english, 2018

7

Quasi-selective ultrafilters and asymptotic numerosities

Andreas Blass, Mauro Di Nasso, Marco Forti

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 289 KB

english, 2012

8

[Contemporary Mathematics] Ultrafilters across Mathematics Volume 530 || Ultrafilters, IP sets, dynamics, and combinatorial number theory

Bergelson, Vitaly, Blass, Andreas, Di Nasso, Mauro, Jin, Renling

Year:

2010

Language:

english

File:

PDF, 453 KB

english, 2010

9

Iterated hyper-extensions and an idempotent ultrafilter proof of Rado’s Theorem

Di Nasso, Mauro

Journal:

Proceedings of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 232 KB

english, 2014

10

High density piecewise syndeticity of sumsets

Di Nasso, Mauro, Goldbring, Isaac, Jin, Renling, Leth, Steven, Lupini, Martino, Mahlburg, Karl

Journal:

Advances in Mathematics

Year:

2015

Language:

english

File:

PDF, 498 KB

english, 2015

11

Numerosities of point sets over the real line

Di Nasso, Mauro, Forti, Marco

Journal:

Transactions of the American Mathematical Society

Year:

2010

Language:

english

File:

PDF, 268 KB

english, 2010

12

A Purely Algebraic Characterization of the Hyperreal Numbers

Vieri Benci and Mauro Di Nasso

Journal:

Proceedings of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 212 KB

english, 2005

13

Nonstandard Methods and Applications in Mathematics || The eightfold path to nonstandard analysis

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 484 KB

english, 2016

14

Nonstandard Methods and Applications in Mathematics || Loeb space methods for stochastic Navier-Stokes equations

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 335 KB

english, 2016

15

Nonstandard Methods and Applications in Mathematics || Nonstandard analysis at pre-university level: Naive magnitude analysis

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 222 KB

english, 2016

16

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || Ultrafilters

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 158 KB

english, 2019

17

Linearly Stratified Models for the Foundations of Nonstandard Mathematics

Journal:

Mathematical Logic Quarterly

Year:

1998

Language:

english

File:

PDF, 279 KB

english, 1998

18

The generic filter property in nonstandard analysis

Journal:

Annals of Pure and Applied Logic

Year:

2001

Language:

english

File:

PDF, 151 KB

english, 2001

19

ZFC: An axiomatic approach to nonstandard methods

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1997

File:

PDF, 344 KB

1997

20

Topological and Nonstandard Extensions

Mauro Di Nasso, Marco Forti

Journal:

Monatshefte für Mathematik

Year:

2005

Language:

english

File:

PDF, 192 KB

english, 2005

21

[Contemporary Mathematics] Ultrafilters across Mathematics Volume 530 || The ultraproduct construction

Bergelson, Vitaly, Blass, Andreas, Di Nasso, Mauro, Jin, Renling

Year:

2010

Language:

english

File:

PDF, 376 KB

english, 2010

22

[Contemporary Mathematics] Ultrafilters across Mathematics Volume 530 ||

Bergelson, Vitaly, Blass, Andreas, Di Nasso, Mauro, Jin, Renling

Year:

2010

Language:

english

File:

PDF, 2.01 MB

english, 2010

23

An Axiomatic Presentation of the Nonstandard Methods in Mathematics

Journal:

Journal of Symbolic Logic

Year:

2002

Language:

english

File:

PDF, 282 KB

english, 2002

24

An axiomatic presentation of the nonstandard methods in mathematics

Nasso, Mauro Di

Journal:

Journal of Symbolic Logic

Year:

2002

Language:

english

File:

PDF, 896 KB

english, 2002

25

Pseudo-superstructures as nonstandard universes

Nasso, Mauro Di

Journal:

Journal of Symbolic Logic

Year:

1998

Language:

english

File:

PDF, 995 KB

english, 1998

26

Hausdorff Ultrafilters

Mauro Di Nasso and Marco Forti

Journal:

Proceedings of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 332 KB

english, 2006

27

10.1090/s0002-9939-05-07429-0

Benci, Vieri, Di Nasso, Mauro

Journal:

Proceedings of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 142 KB

english, 2005

28

10.1090/s0002-9939-06-08433-4

Di Nasso, Mauro, Forti, Marco

Journal:

Proceedings of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 209 KB

english, 2006

29

Fine asymptotic densities for sets of natural numbers

Di Nasso, Mauro

Journal:

Proceedings of the American Mathematical Society

Year:

2010

Language:

english

File:

PDF, 183 KB

english, 2010

30

HIGH DENSITY PIECEWISE SYNDETICITY OF PRODUCT SETS IN AMENABLE GROUPS

DI NASSO, MAURO, GOLDBRING, ISAAC, JIN, RENLING, LETH, STEVEN, LUPINI, MARTINO, MAHLBURG, KARL

Journal:

Journal of Symbolic Logic

Year:

2016

Language:

english

File:

PDF, 142 KB

english, 2016

31

A monad measure space for logarithmic density

Mauro Di Nasso,Isaac Goldbring,Renling Jin,Steven Leth…

Journal:

Monatshefte für Mathematik

Year:

2016

Language:

english

File:

PDF, 532 KB

english, 2016

32

Nonstandard Methods and Applications in Mathematics || Nonstandard analysis and cohomology

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 228 KB

english, 2016

33

Nonstandard Methods and Applications in Mathematics || Neoclosed forcing

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 380 KB

english, 2016

34

Nonstandard Methods and Applications in Mathematics || Preface

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 64 KB

english, 2016

35

Nonstandard Methods and Applications in Mathematics || Discrete approximation of compact operators and approximation of their spectra

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 183 KB

english, 2016

36

Nonstandard Methods and Applications in Mathematics || Nonstandard measure constructions— solutions and problems

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 293 KB

english, 2016

37

Nonstandard Methods and Applications in Mathematics || The microscopic behavior of measurable functions

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 157 KB

english, 2016

38

Nonstandard Methods and Applications in Mathematics || Nonstandard objects in set theory

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 454 KB

english, 2016

39

Nonstandard Methods and Applications in Mathematics || Inverse problem for upper asymptotic density II

Cutland, Nigel J., Di Nasso, Mauro, Ross, David A.

Year:

2016

Language:

english

File:

PDF, 305 KB

english, 2016

40

Idempotent ultrafilters without Zorn’s Lemma

Di Nasso, Mauro, Tachtsis, Eleftherios

Journal:

Proceedings of the American Mathematical Society

Year:

2017

Language:

english

File:

PDF, 266 KB

english, 2017

41

Hausdorff Nonstandard Extensions

Benci, Vieri, Forti, Marco, Di Nasso, Mauro

Journal:

Boletim da Sociedade Paranaense de Matemática

Year:

2009

Language:

english

File:

PDF, 235 KB

english, 2009

42

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || Nonstandard Analysis

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 483 KB

english, 2019

43

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || From Hindman to Gowers

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 182 KB

english, 2019

44

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || Hyperfinite Generators of Ultrafilters

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 120 KB

english, 2019

45

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || Partition Regularity of Equations

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 184 KB

english, 2019

46

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || Ramsey’s Theorem

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 150 KB

english, 2019

47

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || Loeb Measure

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 262 KB

english, 2019

48

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || Many Stars: Iterated Nonstandard Extensions

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 138 KB

english, 2019

49

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || Approximate Groups

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 149 KB

english, 2019

50

[Lecture Notes in Mathematics] Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory Volume 2239 || Working in the Remote Realm

Di Nasso, Mauro, Goldbring, Isaac, Lupini, Martino

Year:

2019

Language:

english

File:

PDF, 175 KB

english, 2019