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 8

R. Ishmael’s Rule No. 9 – “shehu kheinyano– presumably has as its fourth premise:

 

Some P1 are P2 and some P1 are not P2, and

some P2 are P1 and some P2 are not P1

(predicatal premise).

 

This situation, where P1 and P2 only partly overlap, may be graphically represented as follows:

 

Diagram 8

 

The conclusions we can formally draw are obvious enough. Since “Some S1 are P2”, as well as, “All S2 are P1” and “some P1 are not S2”, are general conclusions possible from the first three premises, without resort to the predicatal premise – the only formal conclusion specific to the current predicatal premise is “Some P2 are not S1”.

It is not clear (to me so far, at least) what R. Ishmael proposes to conclude in such cases.

 

 

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