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.

05 JUN 2012 by ideonexus

 Questions Without Answer

Daddy,' she says, 'which came first, the chicken or the egg?' Steadfastly, even desperately, we have been refusing to commit ourselves. But our questioner is insistent. The truth alone will satisfy her. Nothing less. At long last we gather up courage and issue our solemn pronouncement on the subject: 'Yes!' So it is here. 'Daddy, is it a wave or a particle?' 'Yes.' 'Daddy, is the electron here or is it there?' 'Yes.' 'Daddy, do scientists really know what they are talking about?' 'Yes!'
Folksonomies: questions conundrums
Folksonomies: questions conundrums
  1  notes

Example of an inquisitive child asking the hard questions of science.

03 JAN 2011 by ideonexus

 Spinoza's Reasoning was Childish

There's a tendency to pomposity in all this, to make it all deep and profound. My son is taking a course in philosophy, and last night we were looking at something by Spinoza--and there was teh most childish reasoning! There were all these Attributes, and Substances, all this meaningless chewing around, and we started to laugh. Now, how could we do that? Here's this great Dutch phiosopher, and we're laughing at him. It's because there was no excuse for it! In that same period there was Newton...
  1  notes

Feynman talks about reading the great Dutch philosopher with his son.