Extension × intension = information. Two traditional approaches to sign relation, necessary though insufficient, are the way of extension (a sign's objects, also called breadth, denotation, or application) and the way of intension (the objects' characteristics, qualities, attributes referenced by the sign, also called depth, comprehension, significance, or connotation). Peirce adds a third, the way of information, including change of information, to integrate the other two approaches into a unified whole.Peirce (1867), "Upon Logical Comprehension and Extension" (CP 2.391–426), (Writings of Charles S. Peirce, 2:70–86 ). For example, because of the equation above, if a term's total amount of information stays the same, then the more that the term 'intends' or signifies about objects, the fewer are the objects to which the term 'extends' or applies.
Extension × intension = information Two traditional approaches to sign relation necessary though i,nsufficient are the way of extension (a sign's objects also called breadth denotation or application) and the way of intension (the objects' characteristics qualities attributes referenced by the sign also called depth comprehension significance or connotation) Peirce adds a third the way of information including change of information to integrate the other two approaches into a unified wholePeirce (1867) "Upon Logical Comprehension and Extension" (CP 2391–426) (Writings of Charles S Peirce 270–86 ) For example because of the equation above if a term's total amount of information stays the same then the more that the term 'intends' or signifies about objects the fewer are the objects to which the term 'extends' or applies