PHIL102: Venn Diagrams and Argument Validity

Consider how you might adapt Venn diagrams to evaluate the validity of the following arguments.

  1. Most cooks are men. Most men are idiots. So most cooks are idiots.
  2. Very few plants are purple. Very few purple things are edible. So very few plants are edible.
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yes most men are cooks but thats cause they dont have to push out a baby. lots of things are edible just not plants. one of my favorite plants is purple.i love liliacs they smell so good

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Aristotle’s intelligent works, especially his syllogistic, is the primary genuine endeavor in history at a top to bottom hypothesis of argumentation. Aristotle’s work on rationale gives the feeling that despite everything it requires further investigation and scholars are as yet at take a shot at it today. Toward the finish of “On Sophistical Refutations”, the last content of the Organon, Aristotle gives his own evaluation of his work on rationale and the Organon, which is given beneath:

“What’s more, on the off chance that it ought to appear to you after reflection that our investigation, emerging out of these things from its start, contrasts well and our different requests which have been created out of material passed on, at that point it stays occupant on every one of you our listeners to exonerate its inadequacies and give a lot of a debt of gratitude is in order for its disclosures.” [1,p.65]

The above statement from Aristotle seems to propose that Aristotle himself realized that a few pieces of his work required further investigation. Anyway it was a few centuries before his thoughts were supplanted.

Custom rationale, once in a while called term rationale is the name for the kind of rationale which was affected by Aristotle’s work. This conventional rationale started to decrease in Europe at some point between the fourteenth and seventeenth hundreds of years. This was expected principally to the way that Rodolphus Agricola Phrisius (1444-1485) and Petrus Ramus (1515-1572) started to advance their own thoughts on rationale, affected by the stoics, called place rationales [5]. Be that as it may, customary rationale was as yet utilized in England until the nineteenth century.

During the nineteenth century, two mathematicians, George Boole and John Venn attempted to make rationale arithmetical utilizing numerous ideas of customary rationale [5]. Frege then presented first-request predicate rationale. Present day predicate rationale at that point turned into the most influencial type of rationale after Bertrand Russell and A. N. Whitehead, made Principia Mathematica (1910-1913), which is a thorough book on the establishments of arithmetic propelled by Frege’s previous work on predicate rationale. Predicate rationale had the option to conquer issues, for example, clarifying the derivation from “each feline is a well evolved creature” to “the proprietor of each feline is the proprietor of a warm blooded animal”. The above model is basic in predicate rationale yet can’t be clarified in term rationale, which is just ready to utilize syllogistic contentions. As the prevalence of predicate rationale developed, the utilization of term rationale declined.

In any case, predicate rationale isn’t without its deficiencies and a few mathematicians have condemned it, saying that it is unnatural as its punctuation is altogether different from the grammar we use in sentences that show up in our regular language. They have likewise called attention to that it has hypothetical issues, including void names and character articulations. In this way conventional rationale, which was impacted by Aristotle’s legitimate works, still has a significant after today.

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Good explanation

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Logic seems to work well for expressions like all, no or some, but doesn’t seem to work for other quantifiers like few, many or most. You might shade different parts of a Venn diagram differently to show these differences, but even so they wouldn’t be able to evaluate the validity of the arguments above with any degree of certainty.

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I agree with your statement. I don’t think venn diagrams are the best way to showcase some arguments.

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