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Conjunction in Logic

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Conjunction in logic. Hello friends, Welcome to my  blog mathstips4u. In this post we are going to learn Conjunction and its truth table. So let’s begin with Conjunction ( Ʌ ): If p and q are two simple statements, their conjunction is “p and q”, written as p Ʌ q. p Ʌ q is defined to have truth value “true “if both p and q have truth values “true”. In all other cases, p Ʌ q is defined to have truth value “false”. Now we shall see truth table of Conjunction p Ʌ q. p q p Ʌ q T T T T F F F T F F F F Note: 11.     The words “but”, “yet”, “still”, “moreover”, “while”, “in spite of”,” though”, “even though” are used instead of “and “. 22.      p Ʌ q and q Ʌ p both are same. Ex. Express following in symbolic form. 11.     Savita is tall and beautiful. 22.       Anil and Sunil belongs to same cast. 33.       The drug is effective though it has side effects. 44

Logical connectives and compound statements

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Hello friends, Welcome to my blog mathstips4u. In this post we are going to learn what is meant by Logical connectives, symbols used and terms used to describe compound statements. If you are new visitor or came accidently to this blog before reading  this post, please watch my last post of which the link is given bellow. Statement in logic.  At end I shall provide you the answers of questions which were asked in the last video. In Mathematical Logic there are five Logical connectives viz. And, or, not, If …Then, …If and only if… These words or group of words are used to join two simple statements to make a compound statements. Sr. No. Connectives Symbols Term used To describe 1 and Ʌ Conjunction 2 or V Disjunction 3 not ~ Negation 4 If…Then → or => Implication or Conditional 5 ….if and only if … ↔ or <=> Double

Statement in Logic.

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Hello friends, Welcome to my blog mathstips4u. I will give you tips and trick how to prepare for both HSC board exams and JEE Main Exam. In my last post we were discussed an introduction to Mathematical Logic. If you are new visitor or accidently came to this blob before reading this post, please read my previous video post. o   In this post we are going to learn what is mean by Statement in Logic. Please watch my video till ends, at the end I will ask a few questions try to answer it in the comment. I will provide the answers in my next post. So let’s begin. Mathematical Logic. First we shall see the difference between sentence and statement . Sentence is a group of words having some meaning. There are 4 types of sentences. 1.    Imperative 2.    Interrogative 3.      Exclamatory 4.      Assertive We shall see the couple examples of each of type of sentences 1.    Imperative           1 Shut the door.            2. Please get me a book. 2. Interrogative           1.Do