Reducing Terms
Sometimes a syllogism that is apparently fallacious because it is stated with more than three terms can be translated into an equivalent, valid three term syllogism. For example:
- Major premise: No humans are immortal.
- Minor premise: All Greeks are people.
- Conclusion: All Greeks are mortal.
This EAE-1 syllogism apparently has five terms: "humans", "people", "immortal", "mortal", and "Greeks". However it can be rewritten as a standard form AAA-1 syllogism by first substituting the synonymous term "humans" for "people" and then by reducing the complementary term "immortal" in the first premise using the immediate inference known as obversion (that is, "No humans are immortal." is equivalent to "All humans are mortal.").
Read more about this topic: Fallacy Of Four Terms
Famous quotes containing the words reducing and/or terms:
“It is the American vice, the democratic disease which expresses its tyranny by reducing everything unique to the level of the herd.”
—Henry Miller (1891–1980)
“I had a long day’s work, starting at eight in the morning and ending after nine at night, but in those days [we] ... did not think of our day in terms of hours. We liked our work, we were proud to do it well, and I am afraid that we were very, very happy.”
—Louie Mayer (b. c. 1914)