Original writings by Avi Sion on the theory and practice of inductive and deductive LOGIC  

The Logician   … Philosophy, Epistemology, Phenomenology, Aetiology, Psychology, Meditation …

Home Future Logic Phenomenology Judaic Logic Buddhist Illogic Logic of Causation Volition & Allied Ruminations Meditations Reflections A Fortiori Logic Other Writings General Sitemap Search Facility BOOKSHOP

www.TheLogician.net                                © Avi Sion - all rights reserved

Home
Return

The Logician

© Avi Sion

All rights reserved

Search

General Sitemap

Collected Abstracts

Contact

BOOKSHOP

 

 

 

JUDAIC LOGIC

© Avi Sion, 2005. All rights reserved.

 

DIAGRAM 3

  Rabbi Ishmael’s Rules Nos. 8-9-10, which are some of the Talmud’s harmonization rules, are all concerned with the following logical problem, formulated with reference to the following diagram: knowing the lateral relations between four items (the terms or theses, S1, P1, S2, P2, in the four premises a, b, c, d), what are the diagonal relations between them (i.e. the conclusions, e)?

 

Diagram 3

 

Such arguments appear much simpler, if viewed as successions of Aristotelian syllogisms (which involved three items, in two premises and one conclusion). They may then be graphically represented, using Euler diagrams. Their formally valid conclusions are then manifest for all to see; and the invalidity of some Rabbinic conclusions is then apparent.

 

 

You can purchase a paperback copy of this book       Books by Avi Sion in The Logician Bookstore      at The Logician's secure online Bookshop.

 

Previous Home Return Next            Search           General Sitemap             Collected Abstracts          Contact        BOOKSHOP