Originally posted by Grampy Bobby#3
Antinomy: An apparent contradiction between valid principles or
conclusions that seem equally necessary and reasonable. Built-in
contradiction, conflict or opposition of one law to another. Not to be
confused with 'antimony', one of the metallic elements.
#1 The only well remembered line of the Cretan poet Epimenides
is one of the oldest exampl ...[text shortened]... his sentence is false."
#3 ________________________________________________________
Always remember that you are unique....just like everybody else.
Originally posted by Grampy Bobbysure, but #1 refers to Cretans. of course, you can specify
If Nordlys wrote, "All Norwegians are liars", believe the sentence
would deliver an identical self-contradictory/paradoxical punch.
#1' "All Norwgeians are liars", which would be an example of the paradox if uttered by a Norwegian.
since you're interested in the topic of antimonies, why not check out the Wikipedia entry, which discusses Kant's antimonies. as 'antimony' is understood in the Kantian sense, the Epimenides paradox probably wouldn't be one. one of the kantian antiomonies involves the possibility or impossibility of an infinite past, so there's a serendipitous tie-in to your 'bookends' thread.
Originally posted by Iron MonkeyMy impression from the profile was that Nordlys is Norwegian.
sure, but #1 refers to Cretans. of course, you can specify
#1' "All Norwgeians are liars", which would be an example of the paradox if uttered by a Norwegian.
since you're interested in the topic of antimonies, why not check out the Wikipedia entry, which discusses Kant's antimonies. as 'antimony' is understood in the Kantian sense, the Epimenides ...[text shortened]... ity of an infinite past, so there's a serendipitous tie-in to your 'bookends' thread.
Thanks for the follow-on reference. Sounds like advanced stuff.
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Originally posted by Grampy Bobbyi'm not denying that Nordlys is Norwegian. I just used the phrase 'a Norwegian' rather than 'Nordlys' to make it watertight, as there is room for doubt, this being the internet.
My impression from the profile was that Nordlys is Norwegian.
Thanks for the follow-on reference. Sounds like advanced stuff.
yw.
How about Russel's antinomy. In intuitive set theory (meanwhile solved with more precise definitions), when you define a set with as elements all sets that do not have themselves as an element, should this new set contain itself as an element or not?
A more day-to-day example would be this: every library has an index (list of works). Some of them record themselves, others don't. Now if you create a library of all indexes that do not refer to themselves, should this library refer to itself in ithe index?
Originally posted by Iron MonkeyWith respect to Kant, always seemed curious that the best and
sure, but #1 refers to Cretans. of course, you can specify
#1' "All Norwgeians are liars", which would be an example of the paradox if uttered by a Norwegian.
since you're interested in the topic of antimonies, why not check out the Wikipedia entry, which discusses Kant's antimonies. as 'antimony' is understood in the Kantian sense, the Epimenides ...[text shortened]... ity of an infinite past, so there's a serendipitous tie-in to your 'bookends' thread.
brightest of The Age of Enlightenment all began earnestly
and objectively searching for absolute truth... and then each one
returned by different subjective routes to make an issue of himself.
Taking a full 180 slant, Sam Coleridge (English poet, critic and
theologian 1772-1834) wrote, "He who begins by loving Christianity
better than truth, will proceed by loving his own sect or church
better than Christianity, and end by loving himself better than all."
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Originally posted by Grampy BobbyMy nationality aside, I wouldn't normally use the word "liar" to mean "someone who is lying every single time". So a liar could say "all people of my nationality are liars" without lying (if they really are). Of course more likely xe would be lying, in which case the statement would be wrong, but not paradoxical either (it's wrong that they are all liars, but xe didn't say anything specifically about xymself).
If Nordlys wrote, "All Norwegians are liars", believe the sentence
would deliver an identical self-contradictory/paradoxical punch.
