{"id":2971,"date":"2025-06-07T13:15:48","date_gmt":"2025-06-07T13:15:48","guid":{"rendered":"https:\/\/diznr.com\/?p=2971"},"modified":"2025-06-07T13:15:48","modified_gmt":"2025-06-07T13:15:48","slug":"day-04part-16a-propositional-logic-in-discrete-mathematics-in-hindi-statements-arguments-and","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/day-04part-16a-propositional-logic-in-discrete-mathematics-in-hindi-statements-arguments-and\/","title":{"rendered":"Day 04Part 16(A) – Propositional logic in discrete mathematics in Hindi – Statements and Arguments."},"content":{"rendered":"

Day 04Part 16(A) – Propositional logic in discrete mathematics in Hindi – Statements and Arguments.<\/p>\n

[fvplayer id=”194″]<\/p>\n

Here is a clear and concise explanation of Propositional Logic<\/strong> (Part 16A, Day 04) from Discrete Mathematics<\/strong>, focusing on Statements and Arguments<\/strong>, explained in Hindi<\/strong> for easy understanding.<\/p>\n

\n

\ud83d\udcda Day 04 \u2013 Part 16(A): Propositional Logic in Discrete Mathematics (Statements & Arguments in Hindi)<\/strong><\/h2>\n
\n

\ud83d\udd39 1. Propositional Logic \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/h3>\n

Propositional Logic<\/strong> (\u092f\u093e Sentential Logic<\/strong>) \u0935\u0939 \u0932\u0949\u091c\u093f\u0915 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0939\u092e \u092a\u0942\u0930\u0947 \u0935\u093e\u0915\u094d\u092f\u094b\u0902 \u0915\u094b symbols (\u091c\u0948\u0938\u0947 P, Q, R<\/strong>) \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0909\u0928\u0915\u0947 truth values (True\/False<\/strong>) \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u093e\u0932\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n

\n

\u2705 \u092f\u0939 \u0932\u0949\u091c\u093f\u0915 “\u0915\u093f\u0938\u0940 \u0915\u0925\u0928 \u0915\u093e \u0938\u0924\u094d\u092f \u092f\u093e \u0905\u0938\u0924\u094d\u092f” \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948, \u0928\u093e \u0915\u093f \u0909\u0938\u0915\u0947 \u0905\u0930\u094d\u0925 \u092a\u0930\u0964<\/p>\n<\/blockquote>\n

\n

\ud83d\udd39 2. Statement (\u0915\u0925\u0928) \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948?<\/strong><\/h3>\n

Statement<\/strong> \u090f\u0915 \u0910\u0938\u093e \u0935\u093e\u0915\u094d\u092f \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u094b \u0938\u0939\u0940 (True)<\/strong> \u092f\u093e \u0917\u0932\u0924 (False)<\/strong> \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948 \u2014 \u092a\u0930\u0902\u0924\u0941 \u0926\u094b\u0928\u094b\u0902 \u090f\u0915 \u0938\u093e\u0925 \u0928\u0939\u0940\u0902\u0964<\/p>\n

\u2705 Valid Statements:<\/h4>\n
    \n
  • \n

    \u201c2 is an even number.\u201d \u2192 True<\/p>\n<\/li>\n

  • \n

    \u201cDelhi is the capital of India.\u201d \u2192 True<\/p>\n<\/li>\n<\/ul>\n

    \u274c Invalid (Not Statements):<\/h4>\n
      \n
    • \n

      \u201cClose the door.\u201d (Command \u2013 \u0915\u094b\u0908 truth value \u0928\u0939\u0940\u0902)<\/p>\n<\/li>\n

    • \n

      \u201cWhat is your name?\u201d (Question \u2013 \u0915\u094b\u0908 truth value \u0928\u0939\u0940\u0902)<\/p>\n<\/li>\n<\/ul>\n

      \n

      \ud83d\udd39 3. Types of Statements (\u0915\u0925\u0928\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930)<\/strong><\/h3>\n
      \n
      \n\n\n\n\n\n\n
      \u092a\u094d\u0930\u0915\u093e\u0930<\/th>\n\u0909\u0926\u093e\u0939\u0930\u0923<\/th>\n\u0938\u093f\u0902\u092c\u0932<\/th>\n<\/tr>\n<\/thead>\n
      Simple<\/strong><\/td>\n“It is raining.”<\/td>\nP<\/td>\n<\/tr>\n
      Compound<\/strong><\/td>\n“It is raining and<\/strong> it is cold.”<\/td>\nP \u2227 Q<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
      \n
      <\/div>\n<\/div>\n<\/div>\n<\/div>\n
      \n

      \ud83d\udd39 4. Logical Connectives (\u0924\u0930\u094d\u0915\u0938\u0942\u091a\u0915 \u0938\u0902\u092f\u094b\u091c\u0915)<\/strong><\/h3>\n
      \n
      \n\n\n\n\n\n\n\n\n\n
      Symbol<\/th>\nName<\/th>\nHindi Meaning<\/th>\nExample (English)<\/th>\nExample (Hindi)<\/th>\n<\/tr>\n<\/thead>\n
      \u2227<\/td>\nAND<\/td>\n\u0914\u0930<\/td>\nP \u2227 Q (P and Q both true)<\/td>\n“\u0935\u0939 \u092a\u0922\u093c\u0924\u093e \u0939\u0948 \u0914\u0930 \u0935\u0939 \u0916\u0947\u0932\u0924\u093e \u0939\u0948”<\/td>\n<\/tr>\n
      \u2228<\/td>\nOR<\/td>\n\u092f\u093e<\/td>\nP \u2228 Q (Either P or Q or both)<\/td>\n“\u0935\u0939 \u0921\u0949\u0915\u094d\u091f\u0930 \u092f\u093e \u0907\u0902\u091c\u0940\u0928\u093f\u092f\u0930 \u0939\u0948”<\/td>\n<\/tr>\n
      \u00ac<\/td>\nNOT<\/td>\n\u0928\u0939\u0940\u0902<\/td>\n\u00acP (Not P)<\/td>\n“\u0935\u0939 \u0928\u0939\u0940\u0902 \u0917\u092f\u093e”<\/td>\n<\/tr>\n
      \u2192<\/td>\nIMPLIES<\/td>\n\u092f\u0926\u093f…\u0924\u094b<\/td>\nP \u2192 Q (If P then Q)<\/td>\n“\u092f\u0926\u093f \u092c\u093e\u0930\u093f\u0936 \u0939\u0941\u0908, \u0924\u094b \u0938\u094d\u0915\u0942\u0932 \u092c\u0902\u0926 \u0930\u0939\u0947\u0917\u093e”<\/td>\n<\/tr>\n
      \u2194<\/td>\nBICONDITIONAL<\/td>\n\u0924\u092d\u0940 \u091c\u092c<\/td>\nP \u2194 Q (P if and only if Q)<\/td>\n“\u0906\u092a \u092a\u093e\u0938 \u0939\u094b\u0902\u0917\u0947 \u0924\u092d\u0940 \u091c\u092c \u0906\u092a \u0932\u093f\u0916\u0947\u0902\u0917\u0947”<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
      \n
      <\/div>\n<\/div>\n<\/div>\n<\/div>\n
      \n

      \ud83d\udd39 5. Arguments (\u0924\u0930\u094d\u0915) \u0915\u094d\u092f\u093e \u0939\u0948\u0902?<\/strong><\/h3>\n

      Argument<\/strong> \u090f\u0915 set \u0939\u094b\u0924\u093e \u0939\u0948 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u094b\u0902 (statements)<\/strong> \u0915\u093e \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u0941\u091b premises (\u092a\u0942\u0930\u094d\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901)<\/strong> \u0939\u094b\u0924\u0940 \u0939\u0948\u0902 \u0914\u0930 \u090f\u0915 conclusion (\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937)<\/strong> \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n

      \ud83c\udfaf Example:<\/h4>\n

      Premise 1<\/strong>: If it rains, the ground gets wet. (P \u2192 Q)
      Premise 2<\/strong>: It is raining. (P)
      Conclusion<\/strong>: The ground is wet. (Q)<\/p>\n

      \ud83d\udc49 \u092f\u0939 \u090f\u0915 valid argument<\/strong> \u0939\u0948\u0964<\/p>\n

      \n

      \ud83e\udde0 6. Propositional Logic \u0915\u0947 \u0909\u092a\u092f\u094b\u0917:<\/strong><\/h3>\n
        \n
      • \n

        Computer science (circuit design, algorithms)<\/p>\n<\/li>\n

      • \n

        Artificial Intelligence<\/p>\n<\/li>\n

      • \n

        Proofs in mathematics<\/p>\n<\/li>\n

      • \n

        Decision making & logic gates<\/p>\n<\/li>\n<\/ul>\n

        \n

        \ud83d\udcdd Quick Hindi Terminology Table<\/strong><\/h3>\n
        \n
        \n\n\n\n\n\n\n\n\n\n\n\n
        English Term<\/th>\nHindi Meaning<\/th>\n<\/tr>\n<\/thead>\n
        Statement<\/td>\n\u0915\u0925\u0928<\/td>\n<\/tr>\n
        Proposition<\/td>\n\u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935<\/td>\n<\/tr>\n
        Argument<\/td>\n\u0924\u0930\u094d\u0915<\/td>\n<\/tr>\n
        Premise<\/td>\n\u092a\u0942\u0930\u094d\u0935\u0927\u093e\u0930\u0923\u093e<\/td>\n<\/tr>\n
        Conclusion<\/td>\n\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/td>\n<\/tr>\n
        Logical Connective<\/td>\n\u0924\u0930\u094d\u0915 \u0938\u0902\u092f\u094b\u091c\u0915<\/td>\n<\/tr>\n
        Truth Value<\/td>\n\u0938\u0924\u094d\u092f \u092e\u093e\u0928<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
        \n
        <\/div>\n<\/div>\n<\/div>\n<\/div>\n
        \n

        \ud83d\udccc BONUS: Practice Statements (True\/False \u092c\u0924\u093e\u090f\u0902)<\/h2>\n
          \n
        1. \n

          “7 is an odd number.” \u2192 \u2705<\/p>\n<\/li>\n

        2. \n

          “Go and sit.” \u2192 \u274c<\/p>\n<\/li>\n

        3. \n

          “If I study, I will pass.” \u2192 \u2705<\/p>\n<\/li>\n

        4. \n

          “What is your favorite color?” \u2192 \u274c<\/p>\n<\/li>\n<\/ol>\n

          \n

          Would you like:<\/p>\n

            \n
          • \n

            A PDF Notes in Hindi<\/strong>?<\/p>\n<\/li>\n

          • \n

            Practice Problems<\/strong> with truth tables?<\/p>\n<\/li>\n

          • \n

            A video script<\/strong> or slides format<\/strong>?<\/p>\n<\/li>\n<\/ul>\n

            Let me know and I can prepare it for you!<\/p>\n","protected":false},"excerpt":{"rendered":"

            Day 04Part 16(A) – Propositional logic in discrete mathematics in Hindi – Statements and Arguments. [fvplayer id=”194″] Here is a clear and concise explanation of Propositional Logic (Part 16A, Day 04) from Discrete Mathematics, focusing on Statements and Arguments, explained in Hindi for easy understanding. \ud83d\udcda Day 04 \u2013 Part 16(A): Propositional Logic in Discrete […]<\/p>\n","protected":false},"author":71,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[76],"tags":[],"class_list":["post-2971","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2971","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/71"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=2971"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2971\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=2971"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=2971"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=2971"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}