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The Daily Insight

What does sorites mean?

Author

William Smith

Updated on March 29, 2026

Definition of sorites : an argument consisting of propositions so arranged that the predicate of any one forms the subject of the next and the conclusion unites the subject of the first proposition with the predicate of the last.

What does sorites paradox mean in philosophy?

The sorites paradox is the name given to a class of paradoxical arguments, also known as little-by-little arguments, which arise as a result of the indeterminacy surrounding limits of application of the predicates involved.

Is sorites paradox a fallacy?

The continuum fallacy (also known as the fallacy of the beard, line-drawing fallacy or decision-point fallacy) is an informal fallacy related to the Sorites paradox. Both fallacies cause one to erroneously reject a vague claim simply because it is not as precise as one would like it to be.

How do you solve sorites?

Sorites

  1. Step One–Pair The Terms. Each term in the sorites has to occur exactly twice.
  2. Step Two–Put In Standard Form. A sorites is in standard form when all terms have been paired and when the predicate of the conclusion is the predicate of the first premise.
  3. Step Three–Diagram each syllogism and check it for validity.

What is a sorites argument?

sorites, in syllogistic, or traditional, logic, a chain of successive syllogisms—or units of argument that pass from two premises (a major and then a minor) to a conclusion—in the first figure (i.e., with the middle, or repeated, term as the subject of the major and the predicate of the minor premise)—so related that …

What is a sorites series?

We know that a sorites series for ‘bald’ contains some numbers of hairs such that men having those numbers of hairs are not bald. By the least number principle (equivalent to the principle of mathematical induction) there must be a least number, say i+1, such that a man with i+1 hairs on his head is not bald.

What are the heaps of sand called?

sand dune
A sand dune (“A heap of sand”).

How many premises can a sorites have?

In general, there may be n + 1 premises, and analysis then yields a chain of n successive syllogisms.

What is the meaning of sorites in logic?

so·ri·tes (sə-rī′tēz, sô-) Logic n. pl. sorites 1. An argument presenting a series of premises that can be analyzed as a chain of syllogisms, with each syllogism’s major term forming the minor term of the next, until a final conclusion is attained.

What is the meaning of Sorites paradox?

adj. Of or relating to a sorites: a sorites paradox. a form of argument having several premises and one conclusion, capable of being resolved into a chain of syllogisms, the conclusion of each of which is a premise of the next.

Is a sorites composed of two valid categorical syllogisms?

If this intermediate conclusion is then treated as a premise and put together with the third premise, the final conclusion follows validly. The sorites is thus composed of two valid categorical syllogisms and is therefore valid. The rule in evaluating a sorites is based on the idea that a chain is only as strong as its weakest link.

Are the Sorites valid or invalid?

As stated earlier, for a sorites to be valid each syllogism forming a part of the sorites must be valid; otherwise the sorites is invalid. Each syllogism above is an instance of AAA-1, Barbara. Therefore, the sorites as a whole is valid.