Formal Calculation

In mathematical logic, a formal calculation is a calculation which is systematic, but without a rigorous justification. This means that we are manipulating the symbols in an expression using a generic substitution, without proving that the necessary conditions hold. Essentially, we are interested in the form of an expression, and not necessarily its underlying meaning. This reasoning can either serve as positive evidence that some statement is true, when it is difficult or unnecessary to provide a proof, or as an inspiration for the creation of new (completely rigorous) definitions.

However, this interpretation of the term formal is not universally accepted, and some consider it to mean quite the opposite: A completely rigorous argument, as in formal mathematical logic.

Other articles related to "formal calculation":

Formal Calculation - Examples - Symbol Manipulation
... of both sides Now we take a simple antiderivative Because this is a formal calculation, we can also allow ourselves to let and obtain another solution If we have ...
Price Index - Formal Calculation - Chained Vs Non-chained Calculations
... Nonetheless, note that, when chain indices are in use, the numbers cannot be said to be "in period " prices. ...

Famous quotes containing the words calculation and/or formal:

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    This is no argument against teaching manners to the young. On the contrary, it is a fine old tradition that ought to be resurrected from its current mothballs and put to work...In fact, children are much more comfortable when they know the guide rules for handling the social amenities. It’s no more fun for a child to be introduced to a strange adult and have no idea what to say or do than it is for a grownup to go to a formal dinner and have no idea what fork to use.
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