Consistancy

Question 1

Lincoln was assassinated and Lincoln was not assassinated is an example of

Answer 1

An inconsistent set of statements

Question 2

What are the three types of contradictions

Answer 2

1- individual statements made themselves be contradictory.
2- two statements may produce an explicit contradiction when one statement consists of some assertion and the second is the denial of that assertion (i.e. Lincoln statement).
3- 2 or more statements produce an implicit contradiction when they do not meet the form of an explicit contradiction and yet they cannot all be true together. (e.g. If it is raining, then the streets are wet; it is raining and the streets are not wet).

Question 3

A set of statements is inconsistent if there is…

Answer 3

A contradiction among the members of the set. (it’s not possible for all the members of the set to be true at the same time).