Modes of Representation

Propositional Form

Mathematical statement that includes one or more variables and is true for some values attributed to these variables and false in other cases.
The defined set of variables of a propositional form is called the universal set of this propositional form.
  • An expression like 3x – 5 = 7 is a propositional form called an equation.
  • An expression like 3x – 5 is not a propositional form.

Example

Consider the statement 4x + 1 = 9 This equality, in itself, is neither true nor false. If we define the variable x in the universal set of whole numbers, this propositional form becomes a true proposition when x = 2 and false in all other cases.

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