Propositional Logic - The true value of symbolized statement?

Question

hi, I have some symbolized statement to be determined tautologous, self-contradictory, or contingent, pls advice on my answers, thanks!
(~A⊃B) ≡ ~(C v D) self contradictory
(A⊃B) v (C⊃D) tautologous
[(A⊃B) ・~A] ⊃ ~B contingent
[(A⊃B) ・(~A⊃C)] ・~(B v C) contingent

Answer 1

Here's an easy way to determine the truth values:

A tautology (tautologous statement) is defined as a statement that is true under all possible truth-value assignments of its component letters.

A self-contradictory statement is defined as a statement that is false under all possible truth-value assignments of its component letters.

A contingent statement can be either true or false depending on the truth-value assignments of its letters.

Let's apply these definitions to the statements you need to analyze:
The first statement is true if A and B are both true, and C and D are both false, so it is not self-contradictory.

The second statement is false if A and C are true and B and D are false, so it is not tautologous.

The third statement can be either true or false. If A is true then the statement is false. If A is true then the statement is always true. If A is false and B is true, then the statement is false.

The fourth statement is self-contradictory. Write out the truth table and you'll see that it cannot be true. The reason is that the first part requires either B or C to be true, but the second part rules out the possibility that either B or C is true.

Answer 2

Their qualities are all contingent on the symbols descriptive purposes I do not have and therefor me their meaning is contingent on their descriptive purpose.

A does not equal A is self [self contradictory]
A is B, A is true and B is true and A plus B equals C, C does not equal A nor B [tautology, tautologous syllogism]
The meaning for 'if' is 'contingent word variable' or 'truth for syllogism contingent for data for word variable'. e.g. if data for a is a, then b is true. if data for a is c then b is false [contingent proposition]

Answer 3

i advise you to tell me what the sideways U means.