11 JUN 2013 by ideonexus

 Solution to Russel's Paradox

An analysis of the paradoxes to be avoided shows that they all result from a kind of vicious circle. The vicious circles in question arise from supposing that a collection of objects may contain members which can only be defined by means of the collection as a whole. Thus, for example, the collection of propositions will be supposed to contain a proposition stating that “all propositions are either true or false.” It would seem, however, that such a statement could not be legitimate unles...
Folksonomies: logic paradox
Folksonomies: logic paradox
  1  notes

The paradox that a set of sets that do not contain themselves must contain itself.

03 SEP 2011 by ideonexus

 We Error in Believing What We See, and Seeing What We Bel...

Another source of fallacy is the vicious circle of illusions which consists on the one hand of believing what we see, and on the other in seeing what we believe.
Folksonomies: empiricism bias
Folksonomies: empiricism bias
  1  notes

Quote from Sir Thomas Clifford Allbutt.