Using Websters.......

Logic:

(1): a science that deals with the principles and criteria of validity of inference and demonstration : the science of the formal principles of reasoning

Abstract:

a: disassociated from any specific instance <an abstract entity> b: difficult to understand : abstruse <abstract problems> c: insufficiently factual :

Faith:

2 a (1): belief and trust in and loyalty to God (2): belief in the traditional doctrines of a religion b (1): firm belief in something for which there is no proof (2): complete trust

Not seeing where logic and abstract have much in common.

Ken