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Athanasios Tzouvaras
Professor, School of Mathematics
Personal Information
2310997916
tzouvara@math.auth.gr
users.auth.gr/tzouvara
Scopus ID
6602932345
MathSciNet ID
175650
Γνωστικό Αντικείμενο
:
Μαθηματική Λογική
Επιστημονική Ειδίκευση
:
Θετικές επιστήμες, Μαθηματικά και Πληροφορική
Μαθηματικά
Education
Προπτυχιακές Σπουδές
1975
Πτυχίο
Μαθηματικών
ΑΠΘ
Greece
Διδακτορικό Δίπλωμα
1979
ΔΔ
Μαθηματικών
ΑΠΘ
Greece
Μαθηματική Λογική
Course Work
Courses of Winter semester of 2018–19 academic year
TMĪMA MATHĪMATIKŌN
0108
Linear Algebra
0133
Mathematical Logic I
Courses of Spring semester of 2018–19 academic year
TMĪMA MATHĪMATIKŌN
0108
Linear Algebra
0132
Set Theory I
METAPTYCΗIAKO TMĪMATOS MATHĪMATIKŌN
0639
Subjects Mathematical Logic
Theses Supervised
Student Theses within AUTh
2016–2017
Rouvelas Panagiotis. Το πρόβλημα της συνέπειας της θεωρίας συνόλων New Foundations (NF)
Radisis Nektarios-Menelaos. "Το Αξίωμα Επιλογής στη Θεωρία Γράφων"
2010–2011
Petrakis Iosif. ΤΟ ΘΕΩΡΗΜΑ ΤΗΣ ΒΕΝΤΑΛΙΑΣ ΤΟΥ BROUWER. (BROUWER'S FAN THEOREM).
2007–2008
Katsigianni Myrto. ΤΟ ΠΡΟΒΛΗΜΑ ΤΩΝ ΛΕΞΕΩΝ
2005–2006
Fragkou Maria. " Θεωρήματα μη πληρότητας του Godel "
Research Projects
2002–2003
Συνέδριο: "4ο πανελλήνιο συμπόσιο λογικής"
2002–2003
Συνέδριο: "Συμπόσιο - 4ο πανελλήνιο συμπόσιο λογικής"
Publications
2015
Journal Article
Tzouvaras Athanasios
(2015)
.
Totally non-immune sets
.
Mathematical Logic Quarterly
.
vol.61 no.1-2 p.103-116
.
2014
Journal Article
Tzouvaras Athanasios
(2014)
.
Large transitive models in local ZFC
.
Archive for Mathematical Logic
.
vol.53 no.3-4 p.233-260
.
2011
Journal Article
Tzouvaras A
(2011)
.
Erratum to Localizing the Axioms
.
Archive for Mathematical Logic
.
vol.50 no.3-4 p.513-513
.
Tzouvaras A
(2011)
.
A combinatorial result related to the consistency of New Foundations
.
Annals of Pure and Applied Logic
.
vol.162 no.5 p.373-383
.
2010
Journal Article
Tzouvaras A
(2010)
.
Localizing the Axioms
.
Archive for Mathematical Logic
.
vol.49 no.5 p.571-601
.
2009
Book Chapter
Tzouvaras A
(2009)
.
Combinatorics related to NF consistency
.
Proceedings of the 70th Anniversary NF Meeting in Cambridge
.
Louvain-la-Neuve
.
Acad.-Bruylant
.
vol.16 p.109-136
.
2007
Journal Article
Tzouvaras A
(2007)
.
A reduction of the NF consistency problem
.
Journal of Symbolic Logic
.
vol.72 no.1 p.285-304
.
2006
Journal Article
Tzouvaras A
(2006)
.
How effective indeed is present-day mathematics?
.
Logic and Logical Philosophy
.
vol.15 no.2 p.131-153
.
2005
Journal Article
Tzouvaras A
(2005)
.
Forcing and antifoundation
.
Archive for Mathematical Logic
.
vol.44 no.5 p.645-661
.
Tzouvaras A
(2005)
.
Erratum: 'Forcing and antifoundation'
.
Archive for Mathematical Logic
.
vol.44 no.5 p.663-663
.
Tzouvaras A
(2005)
.
Cardinality without enumeration
.
Studia Logica
.
vol.80 no.1 p.121-141
.
2004
Journal Article
Tzouvaras A
(2004)
.
What is so special with the powerset operation?
.
Archive for Mathematical Logic
.
vol.43 no.6 p.723-737
.
Tzouvaras A
(2004)
.
Uncountable cardinals have the same monadic $\forall^{1}_{1}$ positive theory over large sets
.
Fundamenta Mathematicae
.
vol.181 no.2 p.125-142
.
2003
Journal Article
Nitta T
,
Okada T
,
Tzouvaras A
(2003)
.
Classification of non-well-founded sets and an application
.
MLQ - Mathematical Logic Quarterly
.
vol.49 no.2 p.187-200
.
Tzouvaras A
(2003)
.
Positive set-operators of low complexity
.
MLQ - Mathematical Logic Quarterly
.
vol.49 no.3 p.284-292
.
Tzouvaras A
(2003)
.
The logic of multisets continued: the case of disjunction
.
Studia Logica
.
vol.75 no.3 p.287-304
.
Tzouvaras A
(2003)
.
An axiomatization of 'very' within systems of set theory
.
Studia Logica
.
vol.73 no.3 p.413-430
.
2001
Journal Article
Kalpazidou S
,
Tzouvaras L
(2001)
.
The forward and backward rotational decompositions of Markov chains
.
Stochastic Analysis and Applications
.
vol.19 no.3 p.399-412
.
Tzouvaras A
(2001)
.
Periodicity of negation
.
Notre Dame Journal of Formal Logic
.
vol.42 no.2 p.87-99
.
Tzouvaras A
(2001)
.
Objects and their lambda calculus
.
Theoretical Computer Science
.
vol.258 no.1-2 p.209-232
.
Tzouvaras A
(2001)
.
Nearness relations in discretely ordered rings
.
Communications in Algebra
.
vol.29 no.4 p.1409-1425
.
Tzouvaras A
(2001)
.
Freiling's axioms of symmetry in a general setting and some applications
.
Archive for Mathematical Logic
.
vol.40 no.2 p.131-145
.
Tzouvaras A
(2001)
.
Discrete orderings and commutative monoids
.
Communications in Algebra
.
vol.29 no.4 p.1395-1407
.
2000
Journal Article
Tzouvaras A
(2000)
.
Notions of symmetry in set theory with classes
.
Annals of Pure and Applied Logic
.
vol.106 no.1-3 p.275-296
.
1999
Journal Article
Kalpazidou S
,
Tzouvaras L
(1999)
.
Afunctional interpretation of cycloid processes: application to the study of asymptotic behaviour
.
Acta Applicandae Mathematicae
.
vol.58 no.1-3 p.135-149
.
1998
Journal Article
Tzouvaras A
(1998)
.
Modeling vagueness by nonstandardness
.
Fuzzy Sets and Systems
.
vol.94 no.3 p.385-396
.
Tzouvaras A
(1998)
.
Logic of knowledge and utterance and the liar
.
Journal of Philosophical Logic
.
vol.27 no.1 p.85-108
.
Tzouvaras A
(1998)
.
The linear logic of multisets
.
Logic Journal of the IGPL
.
vol.6 no.6 p.901-916
.
1997
Journal Article
Tzouvaras A
(1997)
.
The order structure of continua
.
Synthese
.
vol.113 no.3 p.381-421
.
1996
Journal Article
Tzouvaras A
(1996)
.
Aspects of analytic deduction
.
Journal of Philosophical Logic
.
vol.25 no.6 p.581-596
.
1995
Journal Article
Tzouvaras A
(1995)
.
Worlds of homogeneous artifacts
.
Notre Dame Journal of Formal Logic
.
vol.36 no.3 p.454-474
.
1994
Journal Article
Tzouvaras A
(1994)
.
Omega- and beta-models of alternative set theory
.
Mathematical Logic Quarterly
.
vol.40 no.4 p.547-569
.
1993
Journal Article
Tzouvaras A
(1993)
.
Significant parts and identity of artifacts
.
Notre Dame Journal of Formal Logic
.
vol.34 no.3 p.445-452
.
Tzouvaras A
(1993)
.
Noncircular, non-well-founded set universes
.
Mathematical Logic Quarterly
.
vol.39 no.4 p.454-460
.
1992
Journal Article
Tzouvaras A
(1992)
.
On expandability of models of Peano arithmetic to models of the alternative set theory
.
Journal of Symbolic Logic
.
vol.57 no.2 p.452-460
.
1991
Journal Article
Tzouvaras A
(1991)
.
A note on real subsets of a recursively saturated model
.
Zeitschrift für Mathematische Logik und Grundlagen der Mathematik
.
vol.37 no.3 p.207-216
.
1989
Journal Article
Tzouvaras A
(1989)
.
Simple motions
.
Commentationes Mathematicae Universitatis Carolinae
.
vol.30 no.1 p.163-173
.
1988
Journal Article
Tzouvaras A
(1988)
.
Definability degrees for classes in the alternative set theory
.
Commentationes Mathematicae Universitatis Carolinae
.
vol.29 no.1 p.41-48
.
Tzouvaras A
(1988)
.
Correction to the paper: 'Anotion of measure for classes in AST'
.
Commentationes Mathematicae Universitatis Carolinae
.
vol.29 no.2 p.393-393
.
1987
Journal Article
Cuda K
,
Tzouvaras A
(1987)
.
Endomorphic cuts and tails
.
Commentationes Mathematicae Universitatis Carolinae
.
vol.28 no.2 p.241-249
.
Tzouvaras A
(1987)
.
Some remarks on revealness
.
Commentationes Mathematicae Universitatis Carolinae
.
vol.28 no.1 p.63-69
.
Tzouvaras A
(1987)
.
A notion of measure for classes in AST
.
Commentationes Mathematicae Universitatis Carolinae
.
vol.28 no.3 p.449-455
.
1986
Journal Article
Tzouvaras A
(1986)
.
Ultrafilters and endomorphic universes
.
Commentationes Mathematicae Universitatis Carolinae
.
vol.27 no.1 p.35-51
.
Tzouvaras A
(1986)
.
The Rudin-Keisler relation on objects other than ultrafilters
.
Revue Roumaine de Mathématique Pures et Appliquées
.
vol.31 no.1 p.73-76
.
Tzouvaras A
(1986)
.
Countable inductive definitions in AST
.
Commentationes Mathematicae Universitatis Carolinae
.
vol.27 no.1 p.17-33
.
1985
Journal Article
Tzouvaras A
(1985)
.
Minimal ultrafilters and maximal endomorphic universes
.
Commentationes Mathematicae Universitatis Carolinae
.
vol.26 no.4 p.719-726
.
1980
Journal Article
Tzouvaras A
(1980)
.
A nonstandard characterization of the norm of free ultrafilters
.
Bulletin de la Société Máthematique de Grèce
.
vol.21 p.81-86
.
Updated: 2018-10-29