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	<title>Uri's blog</title>
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	<link>http://www.speedy.net/uri/blog</link>
	<description>Some thoughts about life and the universe</description>
	<pubDate>Sun, 02 Nov 2008 18:45:25 +0000</pubDate>
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			<item>
		<title>How many roots has Google?</title>
		<link>http://www.speedy.net/uri/blog/2008/04/how-many-roots-has-google/</link>
		<comments>http://www.speedy.net/uri/blog/2008/04/how-many-roots-has-google/#comments</comments>
		<pubDate>Tue, 08 Apr 2008 22:34:48 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/wordpress.php/how-many-roots-has-google/</guid>
		<description><![CDATA[&#60;copyleft&#62;
How many roots has Google? I mean integer roots. Some numbers have roots, some not. I think Google has many roots probably. he&#8217;s a big number. Probably as many roots as the number One Hundred has divisors. Don&#8217;t you think?
Actually One Hundred is Ten time Ten which means primes Two and Five twice. He should [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2008/04/how-many-roots-has-google/feed/</wfw:commentRss>
		</item>
		<item>
		<title>How many roots has Poodle?</title>
		<link>http://www.speedy.net/uri/blog/2008/04/how-many-roots-has-poodle/</link>
		<comments>http://www.speedy.net/uri/blog/2008/04/how-many-roots-has-poodle/#comments</comments>
		<pubDate>Tue, 08 Apr 2008 22:32:32 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/wordpress.php/how-many-roots-has-googleplex/</guid>
		<description><![CDATA[&#60;copyleft&#62;
Well of course Googleplex]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2008/04/how-many-roots-has-poodle/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Is the speed of light constant? (2)</title>
		<link>http://www.speedy.net/uri/blog/2007/04/is-the-speed-of-light-constant-2/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/is-the-speed-of-light-constant-2/#comments</comments>
		<pubDate>Wed, 25 Apr 2007 08:14:54 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Life and the Universe]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=26</guid>
		<description><![CDATA[I told some people about my assumption that the speed of light is not constant, and one of them agreed that it might not always be constant for quantum particles, but the average speed of light in empty space is constant.  But my question is - what is empty space?  Can complete empty [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/is-the-speed-of-light-constant-2/feed/</wfw:commentRss>
		</item>
		<item>
		<title>The largest known prime number</title>
		<link>http://www.speedy.net/uri/blog/2007/04/the-largest-known-prime-number/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/the-largest-known-prime-number/#comments</comments>
		<pubDate>Tue, 24 Apr 2007 18:06:27 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=25</guid>
		<description><![CDATA[The Largest Known Primes website claims that the number 232582657-1 is the largest known prime number. How can this number be the largest known prime number? Is the next prime number after 232582657-1 not a prime? Is it not a number? Is it not known? Can&#8217;t it be calculated? I can write a simple algorithm [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/the-largest-known-prime-number/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Past and future</title>
		<link>http://www.speedy.net/uri/blog/2007/04/past-and-future/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/past-and-future/#comments</comments>
		<pubDate>Tue, 24 Apr 2007 15:01:43 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Life and the Universe]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=24</guid>
		<description><![CDATA[What happens when a photon moves from one place to another, for example in the double-slit experiment?  It seems that the universe splits to two separate universes (or more generally speaking, to an infinite number of universes), each of them contains one possible option, and then merges again into one universe.  When a [...]]]></description>
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		</item>
		<item>
		<title>One and zero</title>
		<link>http://www.speedy.net/uri/blog/2007/04/one-and-zero/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/one-and-zero/#comments</comments>
		<pubDate>Mon, 23 Apr 2007 18:33:17 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=23</guid>
		<description><![CDATA[Are one and zero the same thing? They are so different. One is the good guy - always true, knows every answer, positive, can divide and multiply any number without hurting him. Zero is bad - he adds nothing, is never positive, rude, if he multiplies you - you are doomed. You will never be [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/one-and-zero/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Is there an answer to any question?</title>
		<link>http://www.speedy.net/uri/blog/2007/04/is-there-an-answer-to-any-question/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/is-there-an-answer-to-any-question/#comments</comments>
		<pubDate>Mon, 23 Apr 2007 13:45:22 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=22</guid>
		<description><![CDATA[Is there an answer to any question? Or to be more accurate - is there a deterministic answer to any question?
I was reading some things about prime numbers, and I found out that the number 232582657-1 is considered to be a prime. But in what sense is it a prime number? Is there any mathematical [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/is-there-an-answer-to-any-question/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Do hard problems really exist? (2)</title>
		<link>http://www.speedy.net/uri/blog/2007/04/do-hard-problems-really-exist-2/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/do-hard-problems-really-exist-2/#comments</comments>
		<pubDate>Sat, 21 Apr 2007 22:06:25 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=21</guid>
		<description><![CDATA[It&#8217;s so complicated. Life is so complicated. Sometimes I wish it were more simple. Sometimes not.
I would like to extend my previous statement. If there is a binary function f for natural numbers (or subset of N, whatever you prefer), whether or not f is computable, then there is no mathematical proof that f is [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/do-hard-problems-really-exist-2/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Are we really smarter than computers?</title>
		<link>http://www.speedy.net/uri/blog/2007/04/are-we-really-smarter-than-computers/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/are-we-really-smarter-than-computers/#comments</comments>
		<pubDate>Sat, 21 Apr 2007 17:27:20 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=20</guid>
		<description><![CDATA[Are we really smarter than computers? I don&#8217;t think we are, but we&#8217;re probably smarter than Turing machines. We are smarter because we allow ourselves to make assumptions, calculate probabilities, occasionally make mistakes. Turing machines are not allowed to make mistakes. If a Turing machine can be proved to make even one mistake, it is [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/are-we-really-smarter-than-computers/feed/</wfw:commentRss>
		</item>
		<item>
		<title>No decision problem can be proved to be hard</title>
		<link>http://www.speedy.net/uri/blog/2007/04/no-decision-problem-can-be-proved-to-be-hard/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/no-decision-problem-can-be-proved-to-be-hard/#comments</comments>
		<pubDate>Sat, 21 Apr 2007 15:21:59 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=19</guid>
		<description><![CDATA[Are there really hard problems? We know there are from our experience. But how do we know they are really hard? Maybe we are just not smart enough to solve them? Maybe we haven&#8217;t checked all the possibilities yet?
So I will claim something like this: There is no mathematical proof that hard problems exist. If [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/no-decision-problem-can-be-proved-to-be-hard/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Do hard problems really exist?</title>
		<link>http://www.speedy.net/uri/blog/2007/04/do-hard-problems-really-exist/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/do-hard-problems-really-exist/#comments</comments>
		<pubDate>Sat, 21 Apr 2007 15:14:10 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=18</guid>
		<description><![CDATA[My conclusion is that the general question whether P equals NP can never be solved. Since we like axioms so much, (personally, I don&#8217;t), it can be defined as an axiom to be either true or false. It depends what we prefer - if we prefer to be able to solve any hard problem in [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/do-hard-problems-really-exist/feed/</wfw:commentRss>
		</item>
		<item>
		<title>The halting problem (2)</title>
		<link>http://www.speedy.net/uri/blog/2007/04/the-halting-problem-2/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/the-halting-problem-2/#comments</comments>
		<pubDate>Sat, 21 Apr 2007 15:10:58 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=17</guid>
		<description><![CDATA[I have previously claimed that it possible (theoretically, although not practically) to solve the halting problem on real computers. But I forgot to mention something important about real computers - no real computer is completely deterministic. This is due to the uncertainty principle in quantum mechanics, which claims that any quantum event has some uncertainty. [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/the-halting-problem-2/feed/</wfw:commentRss>
		</item>
		<item>
		<title>The halting problem</title>
		<link>http://www.speedy.net/uri/blog/2007/04/the-halting-problem/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/the-halting-problem/#comments</comments>
		<pubDate>Wed, 18 Apr 2007 22:48:56 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=16</guid>
		<description><![CDATA[I have previously mentioned the halting problem - a well-known problem in computer science and mathematics. I claimed that there is a language in which an algorithm that solves the halting problem can be constructed. If we assume that any given algorithm either halts or will run to infinity, then we can construct this simple [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/the-halting-problem/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Are the real numbers really uncountable?</title>
		<link>http://www.speedy.net/uri/blog/2007/04/are-the-real-numbers-really-uncountable/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/are-the-real-numbers-really-uncountable/#comments</comments>
		<pubDate>Wed, 18 Apr 2007 20:00:38 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=15</guid>
		<description><![CDATA[I already demonstrated that the numbers of ideas that can be expressed is countable. So how come the number of real numbers is uncountable? In what sense are the real number real? Each real number can be considered as an idea. Can we express an infinite number of ideas in a finite number of words?
But [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/are-the-real-numbers-really-uncountable/feed/</wfw:commentRss>
		</item>
		<item>
		<title>The limits of knowledge</title>
		<link>http://www.speedy.net/uri/blog/2007/04/the-limits-of-knowledge/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/the-limits-of-knowledge/#comments</comments>
		<pubDate>Tue, 17 Apr 2007 18:18:50 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=14</guid>
		<description><![CDATA[Is there a limit to human knowledge? I would rather rephrase this question: Is there a limit to the knowledge that can be expressed in human language? While some people might think that the potential of our knowledge and wisdom is unlimited, I will demonstrate that it is.
It is well known that many aspects of [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/the-limits-of-knowledge/feed/</wfw:commentRss>
		</item>
		<item>
		<title>The axiom of choice (2)</title>
		<link>http://www.speedy.net/uri/blog/2007/04/the-axiom-of-choice-2/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/the-axiom-of-choice-2/#comments</comments>
		<pubDate>Tue, 17 Apr 2007 12:16:48 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Math and Philosophy]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=13</guid>
		<description><![CDATA[After reading what I wrote about the axiom of choice about two years ago, it appears to me that I forgot to mention something important. I claimed that there are numbers which we are not able to tell. But it all depends on the language. It can be proved that for each real or complex [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/the-axiom-of-choice-2/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Is the speed of light constant?</title>
		<link>http://www.speedy.net/uri/blog/2007/04/is-the-speed-of-light-constant/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/is-the-speed-of-light-constant/#comments</comments>
		<pubDate>Tue, 17 Apr 2007 00:42:55 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Life and the Universe]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=12</guid>
		<description><![CDATA[The theory of relativity predicts that the speed of light in empty space is constant.  Physical experiments, such as the famous Michelsonâ€“Morley experiment, confirm this.  However, consider a theoretical experiment such as the double-slit experiment, built in such a way that there is a difference in distance between the two possible paths.  [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/is-the-speed-of-light-constant/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Light and the theory of relativity (2)</title>
		<link>http://www.speedy.net/uri/blog/2007/04/light-and-the-theory-of-relativity-2/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/light-and-the-theory-of-relativity-2/#comments</comments>
		<pubDate>Mon, 16 Apr 2007 17:03:22 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Life and the Universe]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=8</guid>
		<description><![CDATA[The theory of relativity says that information can&#8217;t travel at a speed greater than light.  The reason is because various events in the universe can be considered as simultaneous events, at least in some context of time (which vary from one observer to another).  If two events can be considered as simultaneous events, [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/light-and-the-theory-of-relativity-2/feed/</wfw:commentRss>
		</item>
		<item>
		<title>Light and the theory of relativity</title>
		<link>http://www.speedy.net/uri/blog/2007/04/light-and-the-theory-of-relativity/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/light-and-the-theory-of-relativity/#comments</comments>
		<pubDate>Mon, 16 Apr 2007 12:11:06 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Life and the Universe]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=7</guid>
		<description><![CDATA[According to modern physics, light is an electromagnetic wave in spacetime.  Suppose that there is a star 20 million light years away from us, and a person is travelling there at a speed very close to the speed of light.  Then, according to the theory of relativity, this person will get there at [...]]]></description>
		<wfw:commentRss>http://www.speedy.net/uri/blog/2007/04/light-and-the-theory-of-relativity/feed/</wfw:commentRss>
		</item>
		<item>
		<title>What are black holes?</title>
		<link>http://www.speedy.net/uri/blog/2007/04/what-are-black-holes/</link>
		<comments>http://www.speedy.net/uri/blog/2007/04/what-are-black-holes/#comments</comments>
		<pubDate>Mon, 16 Apr 2007 12:09:11 +0000</pubDate>
		<dc:creator>Uri</dc:creator>
		
		<category><![CDATA[Life and the Universe]]></category>

		<guid isPermaLink="false">http://www.speedy.net/uri/blog/?p=6</guid>
		<description><![CDATA[Black holes are separate universes within our universe, in which time goes backwards and order increases in time.  The second law of thermodynamics is reversed in black holes.  What we perceive as future is the past in black holes - a singularity such as the Big Bang in our own universe is perceived [...]]]></description>
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