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Any two propositions P and Q can be conjoined, producing the new, complex, proposition:

    P and Q
The proposition P and Q is true if and only if both P and Q are true. It is false otherwise.

The truth table for P and Q is as follows:

If you have Java, try it out for yourself:

Set the truth values for the propositions P and Q by clicking on the appropriate button beside "P" and "Q" respectively. What is the truth value of P and Q? Find out by clicking on the "Compute" button.

P is: T F Q is: T F
Thus, P and Q is:

17 August 1996