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Understanding Validity of Syllogisms: Key Rules and Examples

This guide explores the rules of syllogism validity, emphasizing the necessity of three terms. It illustrates how to identify valid syllogisms using various premises—like "All deer have divided hooves" and “Julia is sweet”—to demonstrate logical conclusions. Key rules include ensuring only three unique terms and the importance of a universal middle term. Practical examples help clarify these concepts, making syllogistic reasoning more accessible for students and enthusiasts alike. Understanding these rules enhances critical thinking and logical analysis skills.

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Understanding Validity of Syllogisms: Key Rules and Examples

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  1. VALIDITY OF SYLLOGISMS RULES ON VALIDITY

  2. RULE 1: There must be three terms and no more. A. Major Premise: All deer have divided hooves. Minor Premise: Horses have hooves. Number of terms: 4

  3. B. All sweets attract ants. Julia is sweet. Therefore, Julia attracts ants. 4 Number of terms: *sweet: food with sugar ( Major Premise) a person’s characteristic (Minor Premise)

  4. All stars are balls of gases. David Cook is a star. Therefore, David Cook is a ball of gas. Number of terms: 4 *stars: heavenly body ( Major Premise) popular person (Minor Premise)

  5. All brave men do not fear anything. Hiawatha is a brave man. Therefore, Hiawatha does not fear anything. Number of terms: 4 *brave: being courageous ( Major Premise) warrior (Minor Premise)

  6. All parties are joyful occasions. Solidarity is a party. Therefore, Solidarity is a joyful occasion. Number of terms: 4 *party/ies: celebrations( Major Premise) political group (Minor Premise)

  7. All balls are elegant gatherings. Mikasa is a ball. Therefore, Mikasa is an elegant gathering. Number of terms: 4 *ball/s: gatherings ( Major Premise) round object (Minor Premise)

  8. All books are managed by accountants. English Arts and Skills is a book. Therefore, English Arts and Skills is managed by an accountant. Number of terms: 4 *book: financial records( Major Premise) published work (Minor Premise)

  9. All fibers are food nutrients. A thread is a fiber. Therefore, thread is a food nutrient. Number of terms: 4 * fiber/s: food substance( Major Premise) strand (Minor Premise)

  10. All wards shelter the sick. Soldiers are wards. Therefore, soldiers shelter the sick. Number of terms: 4 *ward/s: area in a hospital( Major Premise) protectors (Minor Premise)

  11. All speakers should express themselves confidently. Logitech is a speaker. Therefore, Logitech expresses itself confidently. Number of terms: 4 *speaker/s: commentators, lecturers etc. ( Major Premise) device that transmits sound (Minor Premise)

  12. RULE 2: The middle term must be universal in at least one premise. Australian bushmen are human beings. Queen Elizabethis a human being. Therefore, Queen Elizabeth is an Australian bushman. Major term Minor Term Middle Term

  13. *In every affirmative proposition, the predicate is particular. Australian bushmen are human beings. Queen Elizabeth is a human being. Therefore, Queen Elizabeth is an Australian bushman. Middle term Particular Middle Term: Particular

  14. Valid Syllogism All human beings are Australian bushmen. Queen Elizabethis a human being. Therefore, Queen Elizabeth is an Australian bushman. Major term Minor Term Middle Term

  15. Labor racketeers are opposed to the reform law. Union presidents are opposed to the reform law. Therefore, union presidents are labor racketeers. Middle term Middle Term: Particular Particular

  16. Valid Syllogism All people opposed to the reform law are labor racketeers. Union presidentsare people opposed to the reform law. Therefore, Union presidents are labor racketeers. Major term Minor Term Middle Term

  17. All OFWs Nurses abroad Therefore, nurses abroad are OFWs. are our modern-day heroes. are our modern-day heroes. Middle term: Particular Middle term: Particular

  18. All OFWs Nurses abroad Therefore, nurses abroad are OFWs. are our modern-day heroes. are our modern-day heroes. Middle term: Particular Middle term: Particular

  19. All OFWs Nurses abroad Therefore, nurses abroad are OFWs. are our modern-day heroes. are our modern-day heroes. Middle term: Particular Middle term: Particular

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