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 10

R. Ishmael’s Rule No. 13, the last in his list, covers many different cases, most of which cannot readily be illustrated. However, the following diagram illustrates one example of the dialectic often involved, where thesis and antithesis are both narrowed, and replaced by their synthesis or common ground.

 

Diagram 10

 

This illustration is symbolic, note well, because strictly speaking (in class logic) the propositions “All S are P” and “Only some S are P” should overlap – and their common ground, the indefinite “Some S are P”, would be their area of overlap.

This is just one example – the most ‘deductive’ – of how these conflicting theses might be reconciled. Other inductive possibilities would be to asymmetrically favor one or the other given theses – in which case, the selected one would constitute our synthesis.

In some (other) cases, too, it is possible to argue that the theses are not in as real a conflict as at first appears.

   

 

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            Search           General Sitemap             Collected Abstracts          Contact        BOOKSHOP