Frege's Grundgesetze (1893) hoped to provide a foundation for
arithmetic in logic. The book offers a new approach to reading
Frege's notations that adheres to the modern view that terms and
well-formed formulas are disjoint syntactic categories. Where i !
is any function term (open or closed), Frege's a"ui ! is a
well-formed formula. On this new approach, we can at last read
Frege's notations in their original form. And when we do, striking
new solutions to many of the outstanding problems of interpreting
his philosophy are revealed. The book argues that Frege's
wertverlaufe are function-correlates. Function correlation must be
given by an identity. Its import is lost in its translation as
biconditional, but it is the conceptual linchpin of Frege's
philosophy of arithmetic. When faced with Russell's 1901 paradox of
the class of all classes not members of themselves, Frege proposed
a way out and published it in an appendix to Grungesetze's second
Volume. The proposal has bewildered readers ever since, and it
seems incompatible with the notion of a class in the logical sense
(as an extension). The book argues that the bewilderment is
produced by unfaithful translations of the logic of Frege's
conceptual-notation. Though Frege's way out fails, his theory of
function-correlation is not a theory of classes, and logical
restrictions on correlation can be found. Function-correlation,
though it has been lost and forgotten in modern translations of
Frege's work, is the key to unraveling the many outstanding
problems of interpreting Frege's philosophy of arithmetic.
|Country of origin:
||History of Analytic Philosophy
||Electronic book text
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!