[FOM] FOM: set theory

[Martin Davis]

Dean Buckner wrote:

 >My view is that set theory is wrong, in the sense it does not capture our
 >ordinary intuitions about sets and things.

This makes about as much sense as saying that physics is wrong because it 
doesn't capture our
ordinary intuitions about work and energy. A scientific discipline is not 
intended to capture our ordinary (fallible) intuitions, but rather to 
improve on them. Particularly on FOM, set theory is of special interest in 
providing a foundation for mathematics where "our ordinary intuitions" have 
proved utterly misleading.

Martin


                           Martin Davis
                    Visiting Scholar UC Berkeley
                      Professor Emeritus, NYU
                          martin at eipye.com
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                        http://www.eipye.com