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C00002 00002 katz[e88,jmc] Notes on Language and other Abstract Objects
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katz[e88,jmc] Notes on Language and other Abstract Objects
12 The principal aim is to solve the philosophical problem of whether
abstract objects exist.
- puzzling. Do elements of abstract groups exist? Why isn't it just
the question of whether certain (first order) theories have models?
This page contains the main point of the book and a considerable
clarification of the issues. But the answer seems obvious to a
mathematician. Of course abstract objects exist. What next?
Ontological doctrines are metatheories about the proper interpretation
of theories in the special sciences.