Palo Alto Institute for Advanced Study

        2007-12-18

FOR IMMEDIATE RELEASE

Fundamental... Oversights in Mathematics

The Fundaments of Mathematics are Forgotten or Ignored When The Question of Inconsistency Comes up, Primarily in Set Theory

2002 Feb 12

Set Theory  and logic are considered to be the primary foundational theories of Mathematics, even more fundamental than arithmetic. When faced with prima facie evidence of the inconsistency of set theory, the psychology of the situation is such that mathematicians will fail to examine the evidence in light of the fundamental formal definitions of “theory”, “consistency”, “inconsistency”, and even “definition”. This tends to make... oversights inevitable. This article gives a brief introduction to this situation and its psychology.

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