3. About the Operation of Propositions

What are the operations of propositions?

Propositions have several operations, such as: Negation, Conjunction, Disjunction, Implication, and Equivalence.

What is the negation operation?

Suppose there is a proposition. The following conditions are met:

1 (true)0 (false)
0 (false)1 (true)

What is the conjunction operation?

Suppose there are two propositions. The following conditions are met:

1 (true)1 (true)1 (true)
1 (true)0 (false)0 (false)
0 (false)1 (true)0 (false)
0 (false)0 (false)0 (false)

What is the disjunction operation?

Suppose there are two propositions. The following conditions are met:

1 (true)1 (true)1 (true)
1 (true)0 (false)1 (true)
0 (false)1 (true)1 (true)
0 (false)0 (false)0 (false)

What is the implication operation?

Suppose there are two propositions. The following conditions are met:

1 (true)1 (true)1 (true)
1 (true)0 (false)0 (false)
0 (false)1 (true)1 (true)
0 (false)0 (false)1 (true)

What is the equivalence operation?

Suppose there are two propositions. The following conditions are met:

1 (true)1 (true)1 (true)
1 (true)0 (false)0 (false)
0 (false)1 (true)0 (false)
0 (false)0 (false)1 (true)

Do propositions have other operations?

You should go to next word.