Comments on: Is Zero odd or even
http://ask.metafilter.com/8444/Is-Zero-odd-or-even/
Comments on Ask MetaFilter post Is Zero odd or evenSat, 03 Jul 2004 21:41:23 -0800Sat, 03 Jul 2004 21:41:23 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60Question: Is Zero odd or even
http://ask.metafilter.com/8444/Is-Zero-odd-or-even
The Number Zero: odd, even, or neither?post:ask.metafilter.com,2004:site.8444Sat, 03 Jul 2004 21:37:00 -0800Phatty LumpkinzeromathnumbersoddevenBy: ascullion
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163136
As my old maths teacher used to say, Zero is a concept, not a number. So neither.comment:ask.metafilter.com,2004:site.8444-163136Sat, 03 Jul 2004 21:41:23 -0800ascullionBy: bob sarabia
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163137
<a href="http://www.straightdope.com/mailbag/mzeroeven.html">The Straight Dope</a><br>
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Result #1 from <a href="http://www.google.com/search?q=zero+odd+%2Bor+even&sourceid=firefox&start=0&start=0&ie=utf-8&oe=utf-8">this google search</a>comment:ask.metafilter.com,2004:site.8444-163137Sat, 03 Jul 2004 21:46:12 -0800bob sarabiaBy: Phatty Lumpkin
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163139
Thanks Bob. I heard from my second grade teacher (years ago) that zero was neither even nor odd. I'd reasoned it out about as far as that article, but I too came up at a loss for a reason to call 0 anything but even.comment:ask.metafilter.com,2004:site.8444-163139Sat, 03 Jul 2004 21:54:04 -0800Phatty LumpkinBy: loquacious
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163179
Neither. Remember your Cartesian co-ordinates and integers. 0 is smack dab between -1 and 1 for a reason.<br>
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It has no value, therefore it cannot be divided, so therefore it cannot be odd or even, because you must divide a number to determine if it is odd or even.<br>
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IANAM, though. That just makes sense to me, logically.<br>
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Though, it does make a sort of sense to look at the sequence of -2, -1, 0, 1, 2 and assume 0 is even because -1 and 1 are odd and -2 and 2 are even.comment:ask.metafilter.com,2004:site.8444-163179Sun, 04 Jul 2004 02:59:55 -0800loquaciousBy: loquacious
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163181
Hrm, reading the Straight Dope article, and zero does meet the division requirement for odd or even.<br>
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Still thinking logically and intuitively, and not as a mathematician, I'll protest - even in ignorance - and say it is neither odd nor even. It has no value to divide into two equal parts.comment:ask.metafilter.com,2004:site.8444-163181Sun, 04 Jul 2004 03:04:04 -0800loquaciousBy: gleuschk
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163188
Even. <br>
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I hate that there really is subtle interesting mathematics to think about, and people get tripped up by this one. <br>
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Even the question about whether 1 is prime or not is more interesting. In that case, 1 fits all the criteria to be prime -- its only divisors are 1 and itself, for example. But we explicitly rule it out, so that we can reap the benefits of unique factorization, which is what primes are for in the first place. If we allowed 1 to be prime, then unique factorization would go out the window.comment:ask.metafilter.com,2004:site.8444-163188Sun, 04 Jul 2004 06:57:18 -0800gleuschkBy: languagehat
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163196
Even. It fits the definition perfectly (except, as the Straight Dope points out, at the roulette table).<br>
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<small>You know, if I saw a question asking whether quantum theory was compatible with general relativity, I probably wouldn't jump in to say "I know jack shit about physics, but it seems to me they have to be compatible, because hey, it's the same universe, right?" When answering an AskMe question (or, indeed, any other) it helps to actually know something about the subject. But that's just me.</small>comment:ask.metafilter.com,2004:site.8444-163196Sun, 04 Jul 2004 07:52:55 -0800languagehatBy: Smart Dalek
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163200
The University of Baltimore has <a href="http://www.pantaneto.co.uk/issue5/arsham.htm">a historical perspective</a> on zero's origins.comment:ask.metafilter.com,2004:site.8444-163200Sun, 04 Jul 2004 07:59:04 -0800Smart DalekBy: gleuschk
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163201
Not so much the U. of Baltimore as just some professor. A well-regarded one, it appears, but still just one guy. <a href="http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Zero.html">This history</a> from the <a href="http://www-history.mcs.st-andrews.ac.uk/history/">MacTutor History of Mathematics site</a> (which is a fantastic resource) is perhaps a little more authoritative.<br>
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Also, because it's still bugging me, I need to rail just a little bit about the "zero is a concept, not a number" or "has no value" idea that appears above. Numbers <strong>are</strong> concepts. The value of a number is <strong>precisely</strong> the number itself. There isn't a differentiation here; there's just a failure of (imprecise, everyday) language to describe something that is abstract, but has a very precise meaning.comment:ask.metafilter.com,2004:site.8444-163201Sun, 04 Jul 2004 08:24:15 -0800gleuschkBy: squirrel
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163235
<em>You know, if I saw a question asking whether quantum theory was compatible with general relativity, I probably wouldn't jump in to say "I know jack shit about physics, but it seems to me they have to be compatible, because hey, it's the same universe, right?"</em><br>
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That's a little snippy there, languagehat. The first major difference between zero and quantum theory is that <em>everyone</em> has a daily relationship with zero. Even unlearned schmoes are entitled to an opinion that's intended to be helpful in response to a question that had no prereqs. Leave it to the threat originator to declare participants unhelpful.comment:ask.metafilter.com,2004:site.8444-163235Sun, 04 Jul 2004 10:52:39 -0800squirrelBy: squirrel
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163240
Er, <em>thread</em> originator, that is.comment:ask.metafilter.com,2004:site.8444-163240Sun, 04 Jul 2004 11:01:44 -0800squirrelBy: Kwantsar
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163250
<a href="http://en.wikipedia.org/wiki/Even_and_odd_numbers">More Mathematically:</a> <i>In mathematics, any integer (whole number) is either even or odd. If it is a multiple of two, it is an even number; otherwise, it is an odd number. Examples of even numbers are -4, 8, 0, and 70. Examples of odd numbers are -5, 1, and 71. The number zero is even, because it is equal to two multiplied by zero.</i><br>
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However, if you get in to serious math, you find that the numbers are just symbols. Their meaning depends entirely upon the model you happen to be working within.<br>
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<a href="http://mathworld.wolfram.com/Zero.html">More</a> on <a href="http://en.wikipedia.org/wiki/Zero">zero</a>.comment:ask.metafilter.com,2004:site.8444-163250Sun, 04 Jul 2004 12:42:16 -0800KwantsarBy: bonehead
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163251
...besides, in QM, as everyone already knows, even and odd is meaningless---selection rules are all that matters.comment:ask.metafilter.com,2004:site.8444-163251Sun, 04 Jul 2004 12:43:10 -0800boneheadBy: languagehat
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163406
<em>The first major difference between zero and quantum theory is that <em>everyone</em> has a daily relationship with zero. Even unlearned schmoes are entitled to an opinion that's intended to be helpful in response to a question that had no prereqs.</em><br>
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I disagree. "Everyone" has exactly the same relationship with zero that they do with quantum theory, namely that they live in a world that requires both for scientific description. But you no more encounter "zero" in your daily life than you do quantums; both are scientific/mathematical concepts that took many centuries to be developed and are widely misunderstood by laymen. One reason I get snippy is that people are constantly providing false "answers" to questions about language on the basis that they speak one and therefore know all about it; this is just as silly (as I frequently repeat) as thinking you can answer questions about the spleen because you have and use one. But by all means respond to any question that appeals to you. Your freedom of speech allows you to do so, just as mine allows me to point out the fact that the response wasn't helpful.comment:ask.metafilter.com,2004:site.8444-163406Mon, 05 Jul 2004 10:03:51 -0800languagehatBy: Phatty Lumpkin
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#163991
Doubtful if anyone is still checking this, but I'm still thinking about it. In a sense, one way to prove zero to be neither odd nor even would be to prove that it's both. Zero meets the criteria for evenness by being divisible by two, without remainder. Are there any tests for oddness, or sets of all odd numbers which have a pattern and could include zero? If so, <em>that</em> might be grounds for claiming zero is neither even nor odd.<br>
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Thoughts?comment:ask.metafilter.com,2004:site.8444-163991Wed, 07 Jul 2004 00:45:17 -0800Phatty LumpkinBy: squirrel
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#164134
I think that by still posting to this thread we've both passed the test for oddness, Phatty. ;^)comment:ask.metafilter.com,2004:site.8444-164134Wed, 07 Jul 2004 11:24:56 -0800squirrelBy: gleuschk
http://ask.metafilter.com/8444/Is-Zero-odd-or-even#168200
A reasonable thought, Phatty, but "odd" is defined to mean "not even". You could try to finesse this by saying that <i>n</i> is odd if division by 2 leaves a remainder of 1, but that's just a longwinded way of saying the same thing.<br>
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Even if there were some other way to define oddness, it would either be consistent with the definition above (in which case we're back where we started) or inconsistent (in which case either the whole house of cards tumbles down on our heads, or you've defined "odd" to mean "red" or something equally unuseful).comment:ask.metafilter.com,2004:site.8444-168200Tue, 20 Jul 2004 09:48:35 -0800gleuschk