What is "true" in mathematics
- From: "elsiemelsi" <cyprinsam@xxxxxxxxxxxxxxx>
- Date: Fri, 28 Mar 2008 07:28:33 -0500
we here a lot about "true" and "provable"
so what makes a mathematical state "true"
a statement may be provable but what makes it true
http://en.wikipedia.org/wiki/Truth#Truth_in_mathematics
The term has no single definition about which the majority of
professional philosophers and scholars agree. Various theories of truth
continue to be debated. There are differing claims on such questions as
what constitutes truth; how to define and identify truth;
from at least the time of Hilbert's program at the turn of the twentieth
century to the proof of Gödel's theorem and the development of the
Church-Turing thesis in the early part of that century, true statements in
mathematics were generally assumed to be those statements which are
provable in a formal axiomatic system.
The works of Kurt Gödel, Alan Turing, and others shook this assumption,
with the development of statements that are true but cannot be proven
within the system.[29]
so what makes a mathematical statement true
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