Reflection principle (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Reflection principle" in English language version.

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Reinhardt, W. N. (1974), "Remarks on reflection principles, large cardinals, and elementary embeddings.", Axiomatic set theory, Proc. Sympos. Pure Math., vol. XIII, Part II, Providence, R. I.: Amer. Math. Soc., pp. 189–205, MR 0401475

arxiv.org

Barton, Neil; Caicedo, Andrés Eduardo; Fuchs, Gunter; Hamkins, Joel David; Reitz, Jonas; Schindler, Ralf (2020). "Inner-Model Reflection Principles". Studia Logica. 108 (3): 573–595. arXiv:1708.06669. doi:10.1007/s11225-019-09860-7. S2CID 255073980.
Joel David Hamkins (2018). "The modal logic of arithmetic potentialism and the universal algorithm". arXiv:1801.04599 [math.LO].
Pakhomov, Fedor; Walsh, James (2021). "Reducing $ω$-model reflection to iterated syntactic reflection". arXiv:2103.12147 [math.LO].

bris.ac.uk

research-information.bris.ac.uk

Welch, Philip D. (12 November 2019). "Proving Theorems from Reflection". Reflections on the Foundations of Mathematics. Synthese Library. Vol. 407. Springer, Cham. pp. 79–97. doi:10.1007/978-3-030-15655-8_4. ISBN 978-3-030-15655-8. S2CID 192577454.

cambridge.org

Marshall R., M. Victoria (1989). "Higher order reflection principles". The Journal of Symbolic Logic. 54 (2): 474–489. doi:10.2307/2274862. JSTOR 2274862. S2CID 250351126. Retrieved 9 September 2022.

columbia.edu

stacks.math.columbia.edu

"Section 3.8 (000F): Reflection principle". The Stacks Project. 2022. Retrieved 7 September 2022.

doi.org

Welch, Philip D. (12 November 2019). "Proving Theorems from Reflection". Reflections on the Foundations of Mathematics. Synthese Library. Vol. 407. Springer, Cham. pp. 79–97. doi:10.1007/978-3-030-15655-8_4. ISBN 978-3-030-15655-8. S2CID 192577454.
Barton, Neil; Caicedo, Andrés Eduardo; Fuchs, Gunter; Hamkins, Joel David; Reitz, Jonas; Schindler, Ralf (2020). "Inner-Model Reflection Principles". Studia Logica. 108 (3): 573–595. arXiv:1708.06669. doi:10.1007/s11225-019-09860-7. S2CID 255073980.
Marshall R., M. Victoria (1989). "Higher order reflection principles". The Journal of Symbolic Logic. 54 (2): 474–489. doi:10.2307/2274862. JSTOR 2274862. S2CID 250351126. Retrieved 9 September 2022.
Kanamori, Akihiro (March 2009). "Bernays and Set Theory". The Bulletin of Symbolic Logic. 15 (1): 43–69. doi:10.2178/bsl/1231081769. JSTOR 25470304. S2CID 15567244. Retrieved 9 September 2022.
Koellner, Peter (February 2009). "On reflection principles". Annals of Pure and Applied Logic. 157 (2): 206–219. doi:10.1016/j.apal.2008.09.007.
Corazza, Paul (2000). "The Wholeness Axiom and Laver Sequences". Annals of Pure and Applied Logic. 105 (1–3): 157–260. doi:10.1016/s0168-0072(99)00052-4.

jstor.org

Marshall R., M. Victoria (1989). "Higher order reflection principles". The Journal of Symbolic Logic. 54 (2): 474–489. doi:10.2307/2274862. JSTOR 2274862. S2CID 250351126. Retrieved 9 September 2022.
Kanamori, Akihiro (March 2009). "Bernays and Set Theory". The Bulletin of Symbolic Logic. 15 (1): 43–69. doi:10.2178/bsl/1231081769. JSTOR 25470304. S2CID 15567244. Retrieved 9 September 2022.

mit.edu

mitpress.mit.edu

Wang, Hao (March 25, 2016). A Logical Journey: From Gödel to Philosophy. Bradford Books. pp. 280–285. ISBN 978-0262529167.

sciencedirect.com

M. Rathjen, "Proof Theory of Reflection". Annals of Pure and Applied Logic, vol. 68, issue 2 (1994), pp.181--224.

semanticscholar.org

api.semanticscholar.org

Welch, Philip D. (12 November 2019). "Proving Theorems from Reflection". Reflections on the Foundations of Mathematics. Synthese Library. Vol. 407. Springer, Cham. pp. 79–97. doi:10.1007/978-3-030-15655-8_4. ISBN 978-3-030-15655-8. S2CID 192577454.
Barton, Neil; Caicedo, Andrés Eduardo; Fuchs, Gunter; Hamkins, Joel David; Reitz, Jonas; Schindler, Ralf (2020). "Inner-Model Reflection Principles". Studia Logica. 108 (3): 573–595. arXiv:1708.06669. doi:10.1007/s11225-019-09860-7. S2CID 255073980.
Marshall R., M. Victoria (1989). "Higher order reflection principles". The Journal of Symbolic Logic. 54 (2): 474–489. doi:10.2307/2274862. JSTOR 2274862. S2CID 250351126. Retrieved 9 September 2022.
Kanamori, Akihiro (March 2009). "Bernays and Set Theory". The Bulletin of Symbolic Logic. 15 (1): 43–69. doi:10.2178/bsl/1231081769. JSTOR 25470304. S2CID 15567244. Retrieved 9 September 2022.

uci.edu

canvas.eee.uci.edu

Reinhardt, W. N. (1974), "Remarks on reflection principles, large cardinals, and elementary embeddings.", Axiomatic set theory, Proc. Sympos. Pure Math., vol. XIII, Part II, Providence, R. I.: Amer. Math. Soc., pp. 189–205, MR 0401475

umd.edu

cs.umd.edu

P. Maddy, "Believing the Axioms. I", pp.501--503. Journal of Symbolic Logic vol. 53, no. 2 (1988).

univie.ac.at

logic.univie.ac.at

S. D. Friedman, Evidence for Set-Theoretic Truth and the Hyperuniverse Programme (2016), p.15. Accessed 28 March 2023.