Category:Categorical Syllogisms

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This category contains results about Categorical Syllogisms.
Definitions specific to this category can be found in Definitions/Categorical Syllogisms.


A categorical syllogism is a logical argument which is structured as follows:

$(1): \quad$ It has exactly two premises and one conclusion.

The first premise is usually referred to as the major premise.
The second premise is usually referred to as the minor premise.

$(2): \quad$ It concerns exactly three terms, which are usually denoted:

  \(\displaystyle P:\) the primary term             
  \(\displaystyle M:\) the middle term             
  \(\displaystyle S:\) the secondary term             

$(3): \quad$ Each of the premises and conclusion is a categorical statement.