A Class-Room Introduction to Logic

May 4, 2009

Unit-XV: Truth-functional Logic

Filed under: Logic,Truth Table Method — Dr. Desh Raj Sirswal @ 6:25 am

Truth table: An array on which all possible truth values of compound statements are displayed, through the display of all possible combinations of the truth values of their simple components. A truth table may be used to define truth-functional connectives; it may also be used to test the validity of many deductive arguments. To draw truth table follow this formula:

Number of rows = 2n

2 represents constant for truth and falsity.

n represents “number of discrete atomic components.”

Its means also then how many component in the given compound statement. In the below example there is only two component p and q so we draw truth table like this. 2 x 2 =4, in first column  we add two Ts and two Fs and second we add one T and one F and so on. If there is 3 component we draw 8 rows. Two number of rows increase with the number of component.

For example: p≡q (If and only if Ram will pass BA, then he will join MA.)

p q p≡q

Truth Value: The status of any statement as true, or false.

Truth-Functional Component: Any component of a compound statement whose replacement by another statement  having the same truth value would not change the truth value of the compound statement.

Truth-Functional Connective: Any logical connective (including conjunction, disjunction, material implication, and material equivalence) between the components of a truth –functional compound statement.



  1. I appreciate your wp web template, where would you obtain it through?

    Your web page doesn’t show up properly on my apple iphone – you may want to try and fix that
    Audio began playing when I opened up this blog, so frustrating!
    I believe one of your commercials caused my internet browser to resize, you may well want to put that on your blacklist.
    I just added this weblog to my rss reader, excellent stuff. Can’t get enough!

    This is a terrific web page, could you be interested in doing an interview about how you designed it?
    If so e-mail me!
    Thank you, I have recently been looking for details about this subject matter for ages and yours is
    the best I have found so far.

    Comment by anonymous blogging — March 23, 2013 @ 9:07 am | Reply

  2. I need more tutorial on logic and it’s tables

    Comment by Oluwafemi — February 25, 2014 @ 10:23 am | Reply

  3. I need more tutorial on logic

    Comment by Oluwafemi — February 25, 2014 @ 10:24 am | Reply

RSS feed for comments on this post. TrackBack URI

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

Create a free website or blog at WordPress.com.

%d bloggers like this: