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Together with Gavriel Hazut, Avrham founded an organization called 'mida tova' focused on the use of formallogic and talmudical hermeneutics in the modern study of Torah and halakha (Jewish law). He is also part of the group in Bar-Ilan University who publish "Studies in Talmudic Logic".[2] Abraham authored a series of popular books analyzing the relationship between Judaism and postmodernism as well as other issues at the intersection of philosophy, religion, and science. Abraham is known as an independent thinker with unorthodox views on several controversial topics including his attitude towards religious dogma and the need to reform parts of Halakha.[3]
List of publications in English
Articles
An extension of the multiple trapping models for transient photocurrents in amorphous semiconductors, Philosophical Magazine B 60, p. 523, 1989.
The effect on recombination in amorphous semiconductors of transitions between localized states, Philosophical Magazine B 62, p. 537, 1990.
Persistent currents in an interacting 1d disordered ring: manifestations of the Mott-Hubbard transition, Physical Review Letters 70, p. 1509, 1993.
Persistent currents in interacting lattice models, Physica A 200, p. 519, 1993.
AC conductance of an interacting quantum dot: single electron level spectroscopy, J. of Physics Condensed Matter 5, p. L175, 1993.
Mesoscopic persistent current correlations in the presence of strong magnetic fields, Physical Review B 49, p. 1328, 1994.
Language and codification dependence of long range correlations, Fractals 2, p. 7, 1994.
Vortex dynamics in a model of superflow: the role of acoustic excitations, Rapid Communication in Physical Review B 52, p. R7018, 1995.
Effects of symmetry on thermodynamical properties of rotating quantum gases, Z. Olami, Solid state communications 80, p. 657, 1996.
Thermodynamics of rotating quantum systems, Physica A 233, p. 503, 1996.
Effect of a rotating potential on a quantum particle, Physical Review A 54, 4, p. 2659, 1996.
Analysis of the Talmudic Argumentum A Fortiori Inference Rule (Kal-Vachomer) Using Matrix Abduction, Studia Logica 92, 2009, p. 281.
Logical Analysis of the Talmudic Rules of General and Specific (Klalim-u-Pratim), The journal History and Philosophy of Logic 32, 2011, p. 47.
Obligations and prohibitions in Talmudic deontic logic, Artificial Intelligence and Law: Volume 19, Issue 2 (2011), Page 117-148
The handling of loops in Talmudic Logic, with application to odd and even loops in argumentation, proceedings of Howard 60, Manchester Dec 20, 2011, Editors D Rydeheard, A Voronkov and M Korovina, pp 1–25.
Delegation, count as and security in Talmudic logic, a preliminary study, to Logic without Frontiers: Festschrift for Walter Alexandre Carnielli on the occasion of his 60th Birthday. Jean-Yves Béziau and Marcelo Esteban Coniglio (eds.) Volume 17 of Tribute Series, College Publications. London, 2011. ISBN 978-1-84890-055-4, pp 73–96.
Obligations and Prohibitions in Talmudic Deontic Logic, DEON 2010, Governatori G., Sartor G., eds., LNAI 6181, Springer, pp. 166–178.
Books
The Science of Freedom: An Intriguing Perspective, Questioning Determinism Through Philosophy, Cognitive Neuroscience & Quantum physics, Philogic Publishing (February 4, 2018), ASINB079LBL1XX
Privacy rights in genetics - Rabbi Dr. Michael Abraham's lecture, given during the conference "The Power to Detect and Create: Ethical Challenges Emerging from DNA Technology and Genetics - The Impact of Genetics on Jewish Living and Jewish Ethics," held jointly by Bar-Ilan University, The Center for Bioethics at Columbia University College of Physicians & Surgeons, the Albert Einstein College of Medicine in New York, and the Touro College of Osteopathic Medicine in New York.