middle term
Quick Summary
In logic, a middle term is the concept that appears in both premises of a syllogism but not in the conclusion. It is crucial for connecting the premises and drawing a valid conclusion.1
A common error related to the middle term is the fallacy of the ambiguous middle. This occurs when the middle term is used with two different meanings in the premises, rendering the argument invalid. For example, if a syllogism states "All birds can fly" and "Penguins are birds," but the term "birds" is used to mean "all birds" in the first premise and "most birds" in the second, the conclusion that "Penguins can fly" would be fallacious.2
The arrangement of the middle term in the premises defines the figure of a syllogism, with four possible figures in classical logic. Proper use of the middle term is essential for sound reasoning and avoiding logical fallacies.34
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Indian philosophyOrganization and contents…nature of hetu, or the “middle term” in syllogism, and argues that the knowledge derived from hearing words is not inferential. Chapter 10 argues that pleasure and pain are not cognitions because they do not leave room for either doubt or certainty.
Read More…nature of hetu, or the “middle term” in syllogism, and argues that the knowledge derived from hearing words is not inferential. Chapter 10 argues that pleasure and pain are not cognitions because they do not leave room for either doubt or certainty.
Read More- Indian philosophyThe new school
…(paksha, “the hill”) “possesses” the middle term (hetu, “smoke”), which is recognized as “pervaded by” the major (sadhya, “fire”). The relation of invariable connection, or “pervasion,” between the middle (smoke) and the major (fire)—“Wherever there is smoke, there is fire”—is called vyapti.
Read More…(paksha, “the hill”) “possesses” the middle term (hetu, “smoke”), which is recognized as “pervaded by” the major (sadhya, “fire”). The relation of invariable connection, or “pervasion,” between the middle (smoke) and the major (fire)—“Wherever there is smoke, there is fire”—is called vyapti.
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