CONDITIONAL STATEMENTS IF P AND Q ARE STATEMENT PREMISES

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A PARTIALLY TRUTH FUNCTIONAL APPROACH TO INDICATIVE CONDITIONALS

Conditional statements

Conditional statements

If p and q are statement premises, the conditional of q by p is “If p then q” or “p implies q” and is denoted p → q. It is false when p is true and q is false; otherwise it is true.

The arrow “→ ” is the conditional operator, and in p → q the statement p is called the hypothesis and q is called the conclusion.

With the help of the following table,



TRUTH TABLE:

p

q

p → q

T

T

T

T

F

F

F

T

T

F

F

T

We see that


If 1=0 then 3=3 true
If 1=2 then 2=3 true
If 1=1 then 1=2 and 2=3 false

You are most welcome for further information.


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