D. Ackerman, De Re Propositional Attitudes Toward Integers, Southwestern Journal of Philosophy, vol.9, issue.2, pp.145-153, 1978.
DOI : 10.5840/swjphil19789231

W. Ackermann, Die Widerspruchsfreiheit der allgemeinen Mengenlehre, Mathematische Annalen, vol.112, issue.1, pp.305-315, 1937.
DOI : 10.1007/BF01594179

G. Boolos, Logic, Logic, and Logic, History and Philosophy of Logic, vol.21, issue.3, 1999.
DOI : 10.1080/01445340051095856

L. Bukovský, The continuum problem and powers of alephs, Comment. Math. Univ. Carolinae, vol.6, pp.181-197, 1965.

T. Burge and P. To, Belief De Re, The Journal of Philosophy, vol.74, issue.6, pp.65-81, 2007.
DOI : 10.2307/2025871

C. C. , C. , and H. J. Keisler, Model Theory, 1990.

P. Cohen, The independence of the continuum hypothesis, Proc. Nat. Acad. Sci. USA, pp.1143-1148, 1963.

J. Cummings, M. D?amonja, M. Magidor, C. Morgan, and S. Shelah, A framework for forcing constructions at successors of singular cardinals, Transactions of the American Mathematical Society, vol.369, issue.10, p.201
DOI : 10.1090/tran/6974

R. Dedekind, Was sind und was sollen die Zahlen? Braunschweig, 1888.
DOI : 10.1007/978-3-663-19573-3_1

URL : http://rcin.org.pl/Content/37485

I. Keith, R. B. Devlin, and . Jensen, Marginalia to a theorem of Silver, ISILC Logic Conference, pp.115-142, 1974.

M. D?amonja, The Singular World of Singular Cardinals, Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics, pp.139-146, 2015.
DOI : 10.1515/9781614516873.139

M. D?amonja, ZFC combinatorics at singular cardinals, Sarajevo Journal of Mathematics, vol.12, issue.25, pp.151-154, 2016.

M. D?amonja and S. Shelah, Abstract, The Journal of Symbolic Logic, vol.65, issue.02, pp.366-387, 2003.
DOI : 10.1016/0003-4843(80)90009-1

M. D?amonja and S. Shelah, On the existence of universal models, Archive for Mathematical Logic, vol.116, issue.7, pp.901-936, 2004.
DOI : 10.2307/2586687

W. B. Easton, Powers of regular cardinals, Annals of Mathematical Logic, vol.1, issue.2, pp.139-178, 1970.
DOI : 10.1016/0003-4843(70)90012-4

F. Galvin and A. Hajnal, Inequalities for Cardinal Powers, The Annals of Mathematics, vol.101, issue.3, pp.491-498, 1975.
DOI : 10.2307/1970936

M. Gitik, All uncountable cardinals can be singular, Israel Journal of Mathematics, vol.3, issue.1-2, pp.61-88, 1980.
DOI : 10.1007/BFb0061131

K. Gödel, Über formal unentscheidbare Säztze der Principia Mathematica und verwandter Systeme, I, Monatshefte für Mathematik und Physik, pp.173-198, 1931.

K. Gödel, The Consistency of the Continuum-Hypothesis, 1997.

H. Stephen and . Hechler, Powers of singular cardinals and a strong form of the negation of the generalized continuum hypothesis, Z. Math. Logik Grundlagen Math, vol.19, pp.83-84, 1973.

G. Richard and . Heck, Frege's Theorem, 2011.

P. Hell and J. Ne?et?il, Graphs and homomorphisms, of Oxford Lecture Series in Mathematics and its Applications, 2004.
DOI : 10.1093/acprof:oso/9780198528173.001.0001

D. Hilbert and P. Bernays, Grundlagen der Mathematik, pp.1934-1939

I. Jané, Higher???order Logic Reconsidered, pp.781-808
DOI : 10.1093/0195148770.003.0026

M. Kojman, Singular Cardinals, Sets and Extensions in the Twentieth Century of Handbook of the History of Logic, pp.509-558, 2011.
DOI : 10.1016/B978-0-444-51621-3.50007-4

S. Kripke, . Whitehead, and . Lectures, Umpupished transcription of Kripke's lectures delivered at Harvard University on, 1992.

M. Kojman and S. Shelah, Abstract, The Journal of Symbolic Logic, vol.45, issue.03, pp.875-891, 1992.
DOI : 10.1016/0168-0072(84)90042-3

M. Magidor, On the singular cardinals problem, I. Israel J. Math, vol.28, issue.12, pp.1-31, 1977.

A. Mekler, Abstract, The Journal of Symbolic Logic, vol.49, issue.02, pp.466-477, 1990.
DOI : 10.1016/0003-4843(76)90018-8

R. Rado, Universal graphs and universal functions, Acta Arithmetica, vol.9, issue.4, pp.331-340, 1964.
DOI : 10.4064/aa-9-4-331-340

D. Scott, Measurable Cardinals and Constructible Sets, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys, vol.9, pp.521-524, 1961.
DOI : 10.1142/9789812564894_0020

S. Shapiro, The Oxford Handbook of Philosophy of Mathematics and Logic, 2005.

S. Shapiro, Computing with numbers and other non-syntactic things: De re knowledge of abstract Philosophia Mathematica, ser. III, pp.268-281, 2017.

M. Steiner, Kripke on Logicism, Wittgenstein, and De Re Beliefs about Numbers, Saul Kripke, pp.160-176, 2011.
DOI : 10.1017/CBO9780511780622.008

S. Shelah, A compactness theorem for singular cardinals, free algebras, Whitehead problem and tranversals, Israel Journal of Mathematics, vol.9, issue.1, pp.319-349, 1975.
DOI : 10.4153/CJM-1974-089-8

S. Shelah, On universal graphs without instances of CH, Annals of Pure and Applied Logic, vol.26, issue.1, pp.75-87, 1984.
DOI : 10.1016/0168-0072(84)90042-3

S. Shelah, Universal graphs without instances of CH: Revisited, Israel Journal of Mathematics, vol.26, issue.1, pp.69-81, 1990.
DOI : 10.1007/BF02807219

S. Shelah, Cardinal Arithmetic, volume 29 of Oxford Logic Guides, 1994.

J. Silvervancouver and B. C. , On the singular cardinals problem, Proceedings of the International Congress of Mathematicians, pp.265-268, 1974.

R. M. Solovay, 2 ?0 can be anything it ought to be The theory of models, Proceedings of the 1963 International Symposium at Berkeley, p.435, 1965.

R. M. Solovay, Strongly compact cardinals and the GCH, Proceedings of the Tarski Symposium, Proceedings of Symposia in Pure Mathematics, pp.365-372, 1974.
DOI : 10.1090/pspum/025/0379200

S. Walsh, Comparing Peano arithmetic, Basic Law V, and Hume???s Principle, Annals of Pure and Applied Logic, vol.163, issue.11, pp.1679-1709, 2012.
DOI : 10.1016/j.apal.2011.12.016

S. Walsh and S. Ebels-duggan, Relative categoricity and abstraction principles. The Review of Symbolic Logic, pp.572-606, 2015.

C. Wright, Frege's conception of numbers as objects, volume 2 of Scots Philosophical Monograph Series, 1983.

E. Zermelo and . Über-grenzzahlen-und-mengenbereiche, ??ber Grenzzahlen und Mengenbereiche, Fundamenta Mathematicae, vol.16, pp.29-47, 1930.
DOI : 10.4064/fm-16-1-29-47