List of Publications (in
reverse chronological order)
- Asymptotic
typicality degrees of properties over finite structures, preprint 32 pages. arXiv pdf
- Sets
with dependent elements: A formalization of Castoriadis’
notion of magma, Studia Logica, Online first
articles, DOI:10.1007/s11225-023-10073-2.
https://link.springer.com/journal/11225/online-first pdf
- Typicality
à la Russell in set theory, Notre Dame Journal of Formal Logic 63
(2022), no. 2, 185-196.
arXiv pdf
- Some
structural similarities between uncountable sets, power sets and the universe, Mathematical
Logic Quarterly 68 (2022), no. 2, 136-148. arXiv pdf
- Algebraic
semantics for propositional superposition logic, Journal
of Applied Non-Classical Logics 30 (2020), no. 4, 335-366. pdf
- Russell’s
typicality as another randomness notion, Mathematical
Logic Quarterly 66 (2020), no. 3, 355-365. arXiv pdf
- Semantics
for first-order superposition logic,
Logic Journal of the IGPL,
special issue on Non-classical Modal and Predicate
Logics, vol. 27 (2019), no. 4,
570-595. arXiv pdf
- Propositional
superposition logic, Logic Journal of the IGPL 26 (2018), no. 1, 149-190. arXiv pdf
- Consequences
of Vopěnka’s Principle over weak set
theories, Fundamenta Mathematicae
235
(2016), no. 2, 127-152. arXiv pdf
- Totally
non-immune sets, Mathematical Logic Quarterly 61 (2015), no. 1-2, 103-116. [Section 4.1 of the published version
contains some annoying typos which have been corrected here.] pdf
- Large
transitive models in local ZFC, Archive for Mathematical Logic 53 (2014),
no. 3-4, 233-260. arXiv pdf
- A combinatorial result
related to the consistency of New Foundations, Annals of Pure and Applied Logic 162
(2011), no. 5, 373-383.
pdf
- Localizing the
Axioms, Archive for
Mathematical Logic 49 (2010), no. 5, 571-601. arXiv pdf Erratum to “Localizing the
Axioms”, Archive for Mathematical Logic
50 (2011), no. 3, 513. pdf
- Combinatorics related to NF
consistency, in: Marcel Crabbé
and Thomas Forster (eds), Proceedings of the 70th
anniversary NF meeting in Cambridge, Cahiers du Centre de Logique, volume 16, Academia-Bruylant,
Louvain-la-Neuve (Belgique)
2009, pp. 109-136.
pdf
- A reduction of the NF
consistency problem, Journal of Symbolic Logic 72
(2007), no. 1, 285-304. pdf
- How effective indeed is
present-day mathematics?, Logic and
Logical Philosophy 15
(2006), no. 2,
131-153. pdf
- Cardinality without
enumeration, Studia Logica 80 (2005), no. 1,
121-141. pdf
- Forcing and antifoundation,
Archive for Mathematical Logic
44 (2005), no. 5,
645-661. pdf Erratum to “Forcing and antifoundation”,
Archive for Mathematical Logic 44 (2005),
no. 5, 663. pdf
- Uncountable cardinals
have the same monadic "_1^1 positive theory over large sets,
Fundamenta Mathematicae 181 (2004), no. 2,
125-142. pdf
- What is so special with
the power set operation?, Archive for
Mathematical Logic 43 (2004), no. 6, 723-737.
pdf
- The logic of multisets
continued: The case of disjunction,
Studia Logica 75 (2003), no. 3,
287-304. pdf
- Positive set-operators of
low complexity, Mathematical
Logic Quarterly 49
(2003), no. 3,
284-292. pdf
- An axiomatization
of "very" in systems of set theory, Studia Logica 73
(2003), no. 3, 413-430.
pdf
- (with Takashi
Nitta and Tomoko Okada) Classification of non-well-founded sets and an
application, Mathematical
Logic Quarterly 49 (2003), no. 2, 187-200.
pdf
- Periodicity of
negation, Notre Dame
Journal of Formal Logic 42
(2001), no. 2, 87-99. pdf
- Nearness relations in
discretely ordered rings, Communications
in Algebra 29 (2001), no. 4, 1395-1407. pdf
- Discrete orderings and
commutative monoids, Communications in
Algebra 29 (2001), no. 4, 1407-1425. pdf
- Objects and their lambda
calculus, Theoretical
Computer Science 258 (2001), no. 1-2,
209-232. pdf
- Freiling's axioms of
symmetry in a general setting and some applications, Archive for
Mathematical Logic 40 (2001), no. 2,
131-145. pdf
- Notions of symmetry in
set theory with classes, Annals of Pure
and Applied Logic, 106 (2000), no. 1-3,
275-296. pdf
- The linear logic of multisets, Logic Journal
of the IGPL 6 (1998), no. 6,
901-916. pdf
- Modeling vagueness by nonstandardness,
International Journal of Fuzzy Sets and Systems 94 (1998), no. 3,
385-396. pdf
- Logic of knowledge and
utterance and the liar, Journal of
Philosophical Logic 27 (1998),
no. 1, 85-108.
- The order structure of
continua, Synthese 113 (1997/1998), no. 3,
381-421. pdf
- Aspects of analytic
deduction, Journal
of Philosophical Logic 25 (1996), no. 6,
581-596.
- Worlds of homogeneous
artifacts, Notre Dame Journal of Formal Logic 36 (1995), no. 3, 454-474.
- Omega and beta models of
the Alternative Set Theory, Mathematical
Logic Quarterly 40 (1994), no. 4, 547-569.
- Significant parts and
identity of artifacts, Notre Dame
Journal of Formal Logic 34
(1993), no. 3, 445-452.
- Non-circular,
non-well-founded set universes, Mathematical
Logic Quarterly 39
(1993), no. 4, 454-460. pdf
- On expandability of
models of Peano Arithmetic to models of
AST, Journal
of Symbolic Logic 57 (1992), no. 2,
452-460.
- A note on real subsets of
a recursively saturated model, Zeitschrift fur Mathematische
Logik und Grundlangen der Mathematik 37 (1991), no. 3,
207-216. pdf
- Simple motions, Commentationes Mathematicae Universitatis Carolinae 30 (1989), no. 1,
163-173. pdf
- Definability degrees for
classes in AST, Commentationes Mathematicae Universitatis Carolinae
29 (1988), no. 1, 41-48.
- A notion of measure for
classes in AST, Commentationes Mathematicae Universitatis Carolinae
28 (1987), no. 3, 449-455.
- (with C. Čuda) Endomorphic cuts and tails, Commentationes
Mathematicae Universitatis
Carolinae 28 (1987), no.
2, 241-249.
- Some remarks on revealness, Commentationes Mathematicae Universitatis Carolinae 28 (1987), no. 1, 63-69.
- Ultrafilters and
endomorphic universes, Commentationes Mathematicae Universitatis Carolinae 27 (1986), no. 1,
35-51.
- Countable inductive
definitions, Commentationes Mathematicae Universitatis Carolinae 27 (1986), no.
1, 17-33.
- The Rudin-Keisler
relation on objects other than ultrafilters, Revue Roumaine
de Mathematique Pure et Applique
31 (1986), no. 1, 73-76.
pdf
- Minimal ultrafilters and
maximal endomorphic universes, Commentationes Mathematicae Universitatis Carolinae 26 (1985), no.
4, 719-726.
- A nonstandard
characterization of the norm of free ultrafilters, Bulletin of the
Greek Mathematical Society 21 (1980), 81-86.