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Frode Alfson Bjørdal

Professor emeritus - Filosofi
Image of Frode Alfson Bjørdal
Phone +47 22 84 44 43
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Postal address Postboks 1020 Blindern 0315 Oslo

"The test of a first-rate intelligence is

the ability to hold two opposing ideas

in the mind at the same time and still

retain the ability to function."

F. Scott Fitzgerald

 

 

I was born and raised in Ørsta. When I was ten we moved to Ålesund. This is some towns and countries ago.

A description of interests, as well as some online papers and lists of publications and talks are found below. You can also look me up in Orcid.

Positions

I am Professor emeritus of Philosophy at the Department of Philosophy and Classics and the History of Art and Ideas at the University of Oslo and at Programa de Pós-Graduação em Filosofia at Universidade Federal do Rio Grande do Norte in Natal in Brazil.

Education

Doctor of Philosophy (PhD) in Philosophy at the University of California, Santa Barbara, 1993. Advisor: Anthony Brueckner. Committee: Anthony Brueckner, Nathan Salmon and William Forgie.

Candidate in Philosophy (C.Phil) in Philosophy at the University of California, Santa Barbara, 1990.

I studied Philosophy and Logic as a Deutscher Akademischer Austauschdienst Stipendiat at the Johann Wolfgang von Goethe Universität in Frankfurt am Main, 1985/86. At the time I planned on taking a doctorate there, and I was accepted as a Doktorand (doctoral student), just as those with a German Magister Artium degree, on the basis of my Norwegian education, written work and an oral Zwischenprüfung.

Candidatus magisterii (cand.mag) from the University of Bergen, 1985. I double majored in Philosophy and Economics, and had Logic, Mathematics and Social Science as minors.

Examen artium (reallinjen) at Ålesund Gymnas, 1976/79.

Some of my teachers

At the University of Bergen I had seminars by Erik Brown, Nile Gilje, Arild Haaland, Kåre Johnsen, Vigdis Songe-Møller and Hans Skjervheim.

In Frankfurt I followed seminars by Jürgen Habermas, Karl Otto Apel and Wolfgang Kuhlmann.

At UCSB I had seminars from all my committe members as well as by Peter Hylton, Noel Fleming and Charlotte Stough.

At UCLA I followed a seminar by David Kaplan and took a gradute seminar in logic by Alonzo Church (with an oral exam) in the spring of 1989.

Former positions

  • Associate professor of Philosophy at the University of Tromsø, 1994/96.
  • University lecturer in Philosophy at the University of Trondheim (now the Norwegian University of Science and Technology), 1992/94.
  • Teaching Assistant at the University of Calfornia, Santa Barbara, 1989/92.
  • High-School teacher in Mathematics and Economics at Ålesund Videregående Skole avd. Langhaugen (now Spjelkavik Videregående Skole), 1987/88.
  • My civil service was for the Wittgenstein Archives at the University of Bergen, 1986/87.

Service

Guest position

During the 2001/02 academic year I was a visitor at the pontifical University of Malta. In the fall of 2001 former university rector professor Fr. Peter Serracino Inglott and I had a seminar on the Problem of Evil for graduate Philosohy and Theology students.

Scholarships awarded

When a student in Bergen I was twice awarded a scholarship from the L. Melzers Høyskolefond. As mentioned above, I was a DAAD scholar in Frankfurt am Main, 1985/86. The first year of my studies in California, 1988/89, was supported by the Education Abroad Program of the University of California and by Norge Amerika Foreningen through the John D. Archbold scholarship of its Nansen Fund.

The following three years of my Californian sojourn was, in addition to my employment as a Teaching Assistant, supported by tuition and fee waivers from the Department of Philosophy through its endowed Ralph W. Church Fund.

Scientific and philosophical interests

My interests in philosophy and beyond are quite broad; but one must focus. Since before my promotion in 1993 I have primarily been preoccupied with foundational issues in mathematics and semantics. This has resulted in the theory librationism (until about 2010, I used the term "liberalism"), which is inter alia geared to deal with semantical and set theoretical paradoxes.

Librationism offers a way to deal with paradoxes that is related to paraconsistent ones, though without giving up on or contradicting any theorems of classical logic. The semantics of librationism has an ancestry in Hans Herzberger's semi inductive approach to deal with semantical paradoxes, and related ones.

Unlike paraconsistent approaches, the mathematical strength of librationism is immense (and in an important sense full) though yet to be precisely gauged. A cornucopia of important issues are potentially shed light upon in new and distinct manners by librationism. Many fields of exploration are opened up here, and they are all related to the deeper question as to precisely what mathematics librationism supports.

It is now clear that librationism, with few extra posits, interprets classical set theory.

I have a strong interest in many topics in the philosophy of religion. To those who know their history of philosophy, it should come as no surprise that there is often a strong affinity between mathematical meditation and theological thinking.

A colorful erratum: The article Cubes and Hypercubes of Opposition, with Ethical Ruminations on Inviolability, suffered a couple of mishaps when it was published in Logica Universalis, ISSN 1661-8297, 10(2-3), p. 373–376. The worst of them was that the colorful cube was printed in shades of grey, instead of decorating the sides with two transparent sides, and then a red, a yellow, a blue and a green side. The text of the article is not quite understandable because of this mishap, so I avail a colorfully updated version of the original article here: Cubes and Hypercubes of Opposition, with Ethical Ruminations on Inviolability

Tags: Philosophy, Logic, Philosophical Logic, Foundations of Mathematics, Semantical and Set Theoretical Paradoxes, Metaphysics, Philosophy of Religion

Publications

  • Bjørdal, Frode Alfson (2024). Review MR4469282 of 'The logic of the evidential conditional:. Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2023). Review MR4370651 of 'Non-reflexivity and revenge'. Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2023). Review MR4469282 of 'On The Costs of Classical Logic'. Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2022). Review MR4176124 of 'omega-circularity of Yablo's paradox'. Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2022). Review of "Çevik, Ahmet $\omega$-circularity of Yablo's paradox. Log. Log. Philos. 29 (2020), no. 3, 325--333.". Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2022). Review of "Murzi, Julien and Lorenzo Rossi: Non-reflexivity and revenge. J. Philos. Logic 51 (2022), no. 1, 201--218". Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2022). Review of "Carnielli, Walter; Coniglio, Marcelo E. Twist-valued models for three-valued paraconsistent set theory. Log. Log. Philos. 30 (2021), no. 2, 187--226.". Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2021). Review of "Brendel, Elke Truthmaker maximalism and the truthmaker paradox. Synthese 197 (2020), no. 4, 1647--1660.". Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2020). Review of "Barrio, Eduardo Alejandro Yablo's paradox and omega-paradoxes. Logic and philosophy of logic, 231--251, Stud. Log. (Lond.), 78, Coll. Publ., [London], 2018.". Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2020). Review of "Priest, Graham Berry's paradox… again. Australas. J. Log. 16 (2019), no. 2, 41--48.". Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2019). Humean cum Counterfactual Skepticism and Epistemological Deontologism. In Rodrigues, Tiegue Vieira (Eds.), Epistemologia Analítica, Vol .1: debates contemporâneos. Editora Fi. ISSN 9788556966650. p. 47–54. Full text in Research Archive
  • Bjørdal, Frode Alfson (2019). Review of "Fujimoto, Kentaro Truths, inductive definitions, and Kripke-Platek systems over set theory. J. Symb. Log. 83 (2018), no. 3, 868--898.". Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2019). Review of "Sochański, Michał What is diagrammatic reasoning in mathematics? Log. Log. Philos. 27 (2018), no. 4, 567--581.". Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2018). All Properties are Divine or God Exists - The Sacred Thesis and its Ontological Argument. Logic and Logical Philosophy. ISSN 1425-3305. 27(3), p. 329–350. doi: 10.12775/LLP.2017.027. Full text in Research Archive
  • Bjørdal, Frode Alfson (2018). Review of Sy-David Friedman`s Evidence for set-theoretic truth and the Hyperuniverse Programme. The hyperuniverse project and maximality, 75–107, Birkhäuser/Springer, Cham, 2018. Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2017). Review of Field, Hartry; Lederman, Harvey; Øgaard, Tore Fjetland Prospects for a naive theory of classes. Notre Dame J. Form. Log. 58 (2017), no. 4, 461–506. Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2017). Skolem Satisfied: On £ and ₽. In Pourmadhian, Massoud & Daghighi, Ali Sadegh (Ed.), Logic around the World. Andisheh & Farhang-e Javidan. ISSN 9786006386997. p. 31–42. Full text in Research Archive
  • Bjørdal, Frode Alfson (2016). Review of Sheridan, Flash A variant of Church's set theory with a universal set in which the singleton function is a set. Log. Anal. (N.S.) 59 (2016), no. 233, 81–131. Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2016). Review of Jago, Mark Alethic undecidability doesn't solve the liar. Analysis (Oxford) 76 (2016), no. 3, 278–283. Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode Alfson (2016). Review of Hamkins, Joel David; Kikuchi, Makoto Set-theoretic mereology. Log. Log. Philos. 25 (2016), no. 3, 285–308. Mathematical Reviews. ISSN 0025-5629. Full text in Research Archive
  • Bjørdal, Frode (2016). Cubes and Hypercubes of Opposition, with Ethical Ruminations on Inviolability. Logica Universalis. ISSN 1661-8297. 10(2-3), p. 373–376. doi: 10.1007/s11787-016-0149-9. Full text in Research Archive
  • Bjørdal, Frode Alfson (2015). Review of (the book) Metaphysics of Logic. Notre Dame Philosophical Reviews. Full text in Research Archive
  • Bjørdal, Frode Alfson (2015). On the Type-Free Paracoherent Foundation of Mathematics with the Sedate Extension of Classical Logic by the Librationist Set Theory £, and Specifically on Why £ Is Neither Inconsistent nor Contradictory nor Paraconsistent. In Béziau, J.-Y.; Chakraborty, M. K. & Dutta, S (Ed.), New Directions in Paraconsistent Logic. Springer. ISSN 9788132227199. p. 509–515. Full text in Research Archive
  • Bjørdal, Frode (2012). Librationist Closures of the Paradoxes. Logic and Logical Philosophy. ISSN 1425-3305. 21(4), p. 323–361. Full text in Research Archive
  • Bjørdal, Frode (2012). The Evaluation Semantics - A Short Introduction. In Pelis, Michael & Punchochar, Vit (Ed.), The Logica Yearbook 2011. College Publications. ISSN 9781848900714. p. 31–36. Full text in Research Archive
  • Bjørdal, Frode (2011). The Inadequacy of a Proposed Paraconsistent Set Theory. The Review of Symbolic Logic. ISSN 1755-0203. 4(1), p. 106–108. doi: 10.1017/S1755020310000171. Full text in Research Archive
  • Bjørdal, Frode (2011). Considerations Contra Cantorianism. In Puncochar, Vit & Pelis, Michael (Ed.), The Logica Yearbook 2010. College Publications. ISSN 9781848900387. p. 43–52. Full text in Research Archive
  • Bjørdal, Frode (2008). "2+2=4" er misvisande. In Sandmel, Thor & Leirfall, Anita (Ed.), Enhet i mangfold. Festskrift for Johan Arnt Myrstad i anledning 60-årsdagen. Unipub forlag. ISSN 9788230311790. p. 55–66. Full text in Research Archive
  • Bjørdal, Frode (2006). Minimalistic Liberalism. An adequate, Acceptable, Consistent and Contradictory Foundation. In Bilková, Marta & Tomala, Ondrej (Ed.), The LOGICA Yearbook 2005. Filosofia. ISSN 9788070072295. p. 39–50. Full text in Research Archive
  • Bjørdal, Frode (2005). There are Only Countably Many Objects. In Behounek, Libour & Bilková, Marta (Ed.), The LOGICA Yearbook 2004. Filosofia Yearbook. ISSN 9788070072080. p. 47–58. Full text in Research Archive
  • Bjørdal, Frode (2004). Bør naturen ødelegges? Nihilisme, partialisme, ameliorisme eller optimisme? Det apokalyptiske argument. In Leirfall, Anita (Eds.), Non Plus Ultra: Festskrift til Stein Erik Johansen i anledning 50-årsdagen. Tapir Akademisk Forlag. ISSN 9788230302316. p. 211–225. Full text in Research Archive
  • Bjørdal, Frode (1999). Ateistisk Etikk - Anmeldelse av Finngeir Hiorths Etikk for Ateister (utgiver: Oslo Fylkeslag av Human-Etisk Forbund, 1998). Opuscula, Examen Philosophicums småskriftserie. ISSN 0806-3656. p. 77–81. Full text in Research Archive
  • Bjørdal, Frode (1999). Understanding Gödel's Ontological Argument. In Childers, Timothy (Eds.), The Logica Yearbook (1998). Filosofia. ISSN 9788070071236. p. 214–217. Full text in Research Archive
  • Bjørdal, Frode (1999). En Metrisk Feil - med Følgesetninger om Barmhjertighetsprinsipp. Opuscula, Examen Philosophicums småskriftserie. ISSN 0806-3656. p. 44–49. Full text in Research Archive
  • Bjørdal, Frode (1998). Towards a Foundation for Type free Reasoning. In Childers, Timothy (Eds.), The Logica Yearbook (1997). Filosofia. ISSN 9788070071090. p. 259–273. Full text in Research Archive
  • Bjørdal, Frode (1997). Bør vi gjøre så godt vi kan? In Leirfall, Anita & Sandmel, Thor (Ed.), Festskrift til Johan Arnt Myrstad i anledning 50-års dagen. Tapir Forlag, Trondheim. ISSN 9788251913676. p. 1–2. Full text in Research Archive
  • Bjørdal, Frode (1997). Er denne druen laget av det den er laget av? In Anniken, Greve & Nesset, Sigmund (Ed.), Filosofi i et nordlig landskap. UiT Norges arktiske universitet. ISSN 9788291378138. p. 172–175. Full text in Research Archive
  • Bjørdal, Frode (1997). Om Gyldighet. Opuscula, Examen Philosophicums småskriftserie. ISSN 0806-3656. p. 99–106. Full text in Research Archive

View all works in NVA

  • Bjørdal, Frode Alfson (2024). Logics as real numbers. Full text in Research Archive
  • Bjørdal, Frode Alfson (2020). https://www.youtube.com/watch?v=kPDPaQOH884&t=1054s. Full text in Research Archive
  • Bjørdal, Frode Alfson (2018). Humean Skepticism and Epistemic Deontologism. Full text in Research Archive
  • Bjørdal, Frode Alfson (2018). Cartesian Skepticism and Epistemic Deontologism. Full text in Research Archive
  • Bjørdal, Frode Alfson (2017). Volutionary foundational ruminations: paradox, provability, truth and irrefutability. Full text in Research Archive
  • Bjørdal, Frode Alfson (2017). Volutionary Considerations. Full text in Research Archive
  • Bjørdal, Frode Alfson (2017). All Properties are Divine or God Exists. Full text in Research Archive
  • Bjørdal, Frode Alfson (2017). Volutionary Reflections. Full text in Research Archive
  • Bjørdal, Frode Alfson (2016). Volutionary Foundational Visions. Full text in Research Archive
  • Bjørdal, Frode Alfson (2016). Reciprocity in Infinite Dimensional Hyper Cubes. Full text in Research Archive
  • Bjørdal, Frode Alfson (2016). Volutionism. Full text in Research Archive
  • Bjørdal, Frode Alfson (2016). Volutionísmo. Full text in Research Archive
  • Bjørdal, Frode Alfson (2016). Todas as Propriedades são Divinas ou Deus Existe. Full text in Research Archive
  • Bjørdal, Frode Alfson (2015). All Properties are Divine or God Exists. Full text in Research Archive
  • Bjørdal, Frode Alfson (2015). Librationist Capture and Domination of Definable Real Numbers. Full text in Research Archive
  • Bjørdal, Frode Alfson (2015). Librationist motives and perspectives. Full text in Research Archive
  • Bjørdal, Frode Alfson (2015). The Isolation of the Definable Real Numbers with Domination and Capture in Librationist Set Theory. Full text in Research Archive
  • Bjørdal, Frode Alfson (2015). The Librationist Domination of Second Order Arithmetic. Full text in Research Archive
  • Bjørdal, Frode Alfson (2015). Modelling Librationist Set Theory £ with a Sigma-3 Admissible Ordinal. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). Evaluationist Necessitism, Revivalism, Anti-Essentialism and Fictional Realism. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). Definable Real Numbers with Librationist Capture and Domination. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). Deontic Logic without Perfect Possible Worlds. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). With Librationism from Paraconsistency to Contrasistency, Incoherency and Complementarity. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). Truth degrees in the interval [-1,1] for the librationist system £. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). Capture, Collecton, Choice and Domination. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). Things as Individuals, Queues, Crowds and Sets. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). The Cube of Opposition for Agentual Directives. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). Necessitarianismo Evaluationistica e Escatologia Confidentialista. Full text in Research Archive
  • Bjørdal, Frode Alfson (2014). On the Librationist Foundational System. Full text in Research Archive
  • Bjørdal, Frode Alfson (2013). Librationist Farewells to Modus Ponens and Truth Functionality. Full text in Research Archive
  • Bjørdal, Frode Alfson (2013). Nominist things and librationist world views. Full text in Research Archive
  • Bjørdal, Frode Alfson (2013). A Sober Librationist Interpretation of ZF. Full text in Research Archive
  • Bjørdal, Frode Alfson (2012). Negation, Contradiction, Contravalence and Complementarity. Full text in Research Archive
  • Bjørdal, Frode Alfson (2012). Should the world be there? Full text in Research Archive
  • Bjørdal, Frode Alfson (2012). Bør verda vere der? Full text in Research Archive
  • Bjørdal, Frode (2011). Er det bra at verda er til stade? Full text in Research Archive
  • Bjørdal, Frode (2011). Librationist Closures of Paradox and other Mathematical Phenomena - Lecture Abstract for LC2011. Full text in Research Archive
  • Bjørdal, Frode (2011). Til spørsmålet om eit liv etter døden er mogeleg: alle objekt er evige og naudsynelege. Full text in Research Archive
  • Bjørdal, Frode (2011). Bør verda vere tilstades? Full text in Research Archive
  • Bjørdal, Frode (2011). The Evaluation Semantics for Modal Logics. Full text in Research Archive
  • Bjørdal, Frode Alfson (2011). A Librationist Quest for Strength. Full text in Research Archive
  • Bjørdal, Frode (2011). The Arithmetical Program. Full text in Research Archive
  • Bjørdal, Frode (2011). Librationist Closures. Full text in Research Archive
  • Bjørdal, Frode (2011). The Arithmetical Program - An Addendum. Full text in Research Archive
  • Bjørdal, Frode (2011). Librationist Closures. Full text in Research Archive
  • Bjørdal, Frode (2010). Lecture in Lisbon: Minimalistic Liberalism - a complementary semi-formal resolution that respects classical logic. Full text in Research Archive
  • Bjørdal, Frode (2010). Lecture in Lisbon: Minimalistic Liberalism - A Complementary Semi-Formal Set Theory that Respects Classical Logic, and with Mathematical Power beyond PI(1,1)-CA(0). Full text in Research Archive
  • Bjørdal, Frode (2010). Lecture in Ghent: Mathematical Librationism Contra Cantorianism. Full text in Research Archive
  • Bjørdal, Frode (2010). Lecture in Hejnice Monastery: Considerations Contra Cantorianism. Full text in Research Archive
  • Bjørdal, Frode (2010). Lecture in Oslo: Minimalistisk liberalisme - ein kontradiktorisk grunnlagsteori som respekterer klassisk logikk. Full text in Research Archive
  • Bjørdal, Frode (2009). Lecture in Hejnice Monastery: Paraconsistency with Classical Logic. Full text in Research Archive
  • Bjørdal, Frode (2008). Lecture in Melbourne: Resisting Cantor's Arguments. Full text in Research Archive
  • Bjørdal, Frode (2006). Lecture in Villa Lanna: On the Limits of Vague Identity. Full text in Research Archive
  • Bjørdal, Frode (2005). Lecture in Hejnice Monastery: The Banach-Tarski Paradox in the Bialethic Framework of Caption and Its Theory of Sorts. Full text in Research Archive
  • Bjørdal, Frode (2004). Lecture in Hejnice Monastery: Bialethism, Sorts, ZFC and Countability. Full text in Research Archive
  • Bjørdal, Frode (2002). Lecture in Malta: Standard Theism and Egalitarian Optimism. Full text in Research Archive
  • Bjørdal, Frode (2001). Contemporary Arguments for the Existence of God. Full text in Research Archive
  • Bjørdal, Frode (2000). Lecture in Bergen: On the Reality of the Future. Full text in Research Archive
  • Bjørdal, Frode (1999). Lecture in Villa Lanna: An Alternative Semantics for Deontic Logic. Full text in Research Archive
  • Bjørdal, Frode (1999). Lecture at Liblice Chateau: Understanding Gödel's Ontological Argument. Full text in Research Archive
  • Bjørdal, Frode (1998). A Theodicy. Full text in Research Archive
  • Bjørdal, Frode (1998). Lecture in Villa Lanna: Towards a Foundation for Type-Free Reasoning. Full text in Research Archive

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Published Oct. 19, 2016 10:40 AM - Last modified June 24, 2026 2:57 PM