Posted on 03/10/2002 11:53:20 AM PST by JediGirl
Actually almost all the dead attributable to monotheism have been killed by adherents of movements my own confession, the Orthodox Church, regard as heretical: Latin Christianity (RC and protestant), with their Crusades, Inquisition, wars of religion in Europe, witch trials and the like, and Islam.
I will be fair, and accept against my own confession those killed by the Nitrian monks (though accuracy might attribute those deaths to monophysitism, rather than Orthodoxy), the war dead in Emperor Heraclitus campaign to stablize the Imperial frontier against the Persians and recapture the True Cross (though power politics would have necessated a war at that time, I am always willing to accept it as the sole instance of an Orthodox nation launching an offensive war of religion), the dead in various persecutions when the Russian state meddled in Church affairs (pogroms and the persecution of the Old Believers), and the dead in the various Balkan wars from 1821 to the present (though nationalism would suffice to explain them without reference to religion).
Even being generous to your side in accepting all of these as attributable to my confession, I think the dead from all these over thousands of years are still dwarfed by the dead attributable to secularism in America alone--counting only victims of abortion on demand.
How many integers evenly divisible by two lie between 1 and 100? How many integers evenly divisible by 29 lie between 1 and 100? Which group is "larger"?(cardinality) Now which of a group(set) so described is "larger" when applied to all positive integers?
I believe this is wrong.
I'm infinity, you're infinity. Are we the same infinity?
Let us return to our question: Are there as many even integers as integers? Since we can match every integer n to a single even integer 2n, we must concede that there are the same number of each. The matching is called a one-to-one correspondence. Infinite sets can have one-to-one correspondences with "smaller-looking" subsets of themselves. Of course, this can never happen with finite sets--one will never match 14 objects one for one with any 9 of them. This difference is in fact a fundamental difference between finite sets and infinite sets. We may rest assured that our two questions:
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Can a subset of elements be as large or larger than the set that contains it, if the set contains elements not within the subset? Anyway, the real problem here is trying to treat "infinity" as though it were a number....
...he said, bailing himself out at the last moment ;)
There are, however, different sizes of infinite sets. The simplest example is to consider the set of natural numbers, {0,1,2,3,...} (I follow the example of mathematical logicians rather than grade school teachers in calling 0 a natural number).
Now consider also the set of all subsets of the natural numbers. I claim that we cannot match these sets up 1-1, because any attempt to do so misses some subset:
Suppose we've tried, we match every number n with a subset of the natural numbers S(n). No matter how this was done, we have missed a subset:
Let M(S) (for missed by the list S) be the set of all natural numbers n such that n is not an element of S(n).
Now, M(S) can't be any set in the list S(n), since if we think it's the kth set S(k), there's a problem: if k is in M(S), that means it's not in S(k), so they aren't the same set--one contains k the other doesn't. On the other hand if k is not in M(S), that means it's in S(k), so they aren't the same set--again one contains k the other doesn't.
This annoying fact was discovered by Georg Cantor, whose proof I just presented. A similar proof shows that there are more real numbers than natural numbers (though the rational numbers--ones which can be written as fractions--match up with the natural numbers), and that the set of subsets of any set always has more elements than the orginal set.
Quite!! The following link gives, for me, a most interesting and pleasing picture of the weirdness of infinity.
non·sen·si·cal
adj.
1.Lacking intelligible meaning: a nonsensical jumble of words.
2.Foolish; absurd: nonsensical ideas.
ir·ra·tion·al
adj.
1. a.Not endowed with reason.
b.Affected by loss of usual or normal mental clarity; incoherent, as from shock.
c.Marked by a lack of accord with reason or sound judgment: an irrational dislike.
I'm from a big family---one of the oldest and my younger brother and sisters asked if me if there was a Santa Claus---
I hated to break ther hearts---but I told them---NO!
I'm among those who'll have to miss it. But, you will really enjoy what comes next... the plagues, the seals broken, the bowls tipped, the Mark of the Beast, and the rise of the Antichrist.
Enjoy.
Well, this is progress of a sort, I suppose.
Don't know about Adolf, but Stalin embraced a form of Lamarckism, namely Lysenko's foolishness, which was actually based on communist theory.
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