Download presentation

Presentation is loading. Please wait.

Published byElsa Hutchens Modified over 3 years ago

2
Truth Tables Presented by: Tutorial Services The Math Center

3
Truth Tables A truth table is a device used to determine when a compound statement is true or false. A truth table is a device used to determine when a compound statement is true or false. Formal Name SymbolRead Symbolic Form Negation~“Not”~p Conjunction “ And” p q Disjunction “ Or” p q Conditional“If-then” Bi-conditional “If and only If” p q Connectives used in truth tables:

4
Types of Arguments pq TTT TFF FTF FFF Conjunction When finding the truth value of a conjunction, all values must be true in order for the entire conjunction to be true. For example, if p and q are true, then (p q) is true. For example, if p is true and q is false, (p q) is false. For example, if p and q are false, then (p q) is false.

5
Types of Arguments pq TTT TFT FTT FFF Disjunction When finding the truth value of a disjunction, only one value needs to be true in order for the entire disjunction to be true. For example, if p is true and q is false, then (p q) is true. For example, if both p and q are true, then (p q) is true. For example, if both p and q are false, then (p q) is false.

6
Types of Arguments p~p TF FT Negation The truth values of ~p are exactly the opposite truth values of p. For example, true for p would be false for ~p. For example, false for (p q) would be true for ~(p q).

7
Types of Arguments pq p q TTT TFF FTT FFT Conditional When finding the truth value of a conditional statement, same values will be true. Otherwise, follow the truth value of the conclusion (which is the second proposition). For example, if p and q are false, then (p q) is true. For example, if p is true and q is false, then (p q) is false. For example, if p is false and q is true, then (p q) is true.

8
Types of Arguments pq TTT TFF FTF FFT Bi-conditional When finding the truth value of a bi-conditional statement, same values will be true. Otherwise, the truth value will be false. For example, if both p and q are false, then (p q) is true. For example, if p is true and q is false, then (p q) is false. For example, if p is false and q is true, then (p q) is false.

9
Examples pq p q ~q TTTFT TFFTT FTFFF FFFTF Example1:

10
Examples pqr~r q ~r TTTFFF TTFTTT FFTFFT FTTFFT TFFTFF TFTFFF FTFTTT FFFTFT Example 2:

11
Examples pqr~r q ~r TTTFFF TTFTTT FFTFFT FTTFFT TFFTFF TFTFFF FTFTTF FFFTFT Example 3:

12
Truth Tables Links Truth Tables Handout Truth Tables Handout Truth Tables Handout

Similar presentations

Presentation is loading. Please wait....

OK

3.2 – Truth Tables and Equivalent Statements

3.2 – Truth Tables and Equivalent Statements

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on digital media broadcasting projects Ppt on power generation by speed breaker sign Ppt on green building technology Ppt on andhra pradesh state Ppt on mineral and power resources for class 8 Ppt on intelligent transportation systems Ppt on food web and food chain Ppt on four stroke diesel engine Ppt on physical methods of gene transfer in plants Free ppt on power quality