If a set of WFFs is inconsistent, would the set become consistent by adding more WFFs to it?

Slide 1 of 7

If you have a set containing only tautologies, is the set consistent?

If A is consistent with B, and B is consistent with C, does it follow that A must be consistent with C?

If A is inconsistent with B, and B is consistent with C, does it follow that A must be inconsistent with C?

If X, Y and Z form an inconsistent set of WFFs, then X and Y are inconsistent with each other.

If X is an inconsistent WFF, and Y is an inconsistent WFF, then X is inconsistent with Y.

Solution list

Question 1 If a set of WFFs is inconsistent, would the set become consistent by adding more WFFs to it?: No
Question 2 If you have a set containing only tautologies, is the set consistent?: Yes
Question 3 If A is consistent with B, and B is consistent with C, does it follow that A must be consistent with C?: No
Question 4 If A is inconsistent with B, and B is consistent with C, does it follow that A must be inconsistent with C?: No
Question 5 If X, Y and Z form an inconsistent set of WFFs, then X and Y are inconsistent with each other.: No
Question 6 If X is an inconsistent WFF, and Y is an inconsistent WFF, then X is inconsistent with Y.: Yes