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Logic Form 5 Art

CHAPTER 6 : TRANSLATION INTO STANDARD FORM

6. DIFFERENT PROPOSITIONS HYPOTHETICAL PROPOSITIONS
  1. A hypothetical proposition with always in the consequent is translated into a universal affirmative e.g.
  1. if man is rational, he is always purposeful = All rational beings are purposeful
  2. if anyone is courageous, he is always a thief= All thieves are courageous persons
  1. A hypothetical proposition with never in the consequent is translated in to a universal negative e.g.
  1. if rulers are philosophers, they are never truthful= No rulers are truthful persons
  2. if any man is honest, then he is never a lawyer = No lawyers are  honest persons
  1. words like few, most, many, often, generally, sometimes are translated into particular affirmative e.g.
  1. if boys smoke cigarettes, they are sometimes courageous = Some cigarettes smokers are courageous persons

 

  1. Words like sometimes not, generally not, often not, few not, mostly not are translated in to particular negative e.g.
  1. If a woman is a prostitute, she is something not faithful = some Women are not faithful persons
par Claude Foumtum
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Logic Form 5 Art