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| foolsrushin. |
Posted: Thu Apr 24, 2008 8:24 pm |
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On 25 Apr, 05:50, herbzet <herb...@gmail.com> wrote:
Quote: Aatu Koskensilta wrote:
herbzet wrote:
They exist as fried broccoli.
I have a follower! I'm like Ayn Rand!
But prettier.
--
hz
And maybe cracks jokes rather than mirrors!
--
'foolsrushin.' |
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| hanson |
Posted: Thu Apr 24, 2008 9:32 pm |
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"Angus Rodgers" <twirlip@bigfoot.com> wrote in message
news:uo721454skvgmtt03h6ti46ecmfjd4e5vs@4ax.com...
Quote:
On Thu, 24 Apr 2008 23:48:22 GMT, "hanson" <hanson@quick.net> wrote:
[something virtually unintelligible, including this quote:]
hanson wrote:
ahahaha... I have no beef with you Angus.. or otherwise, but
I'm sorry to hear that you don't have the intelligence to follow
what I have posted. Androcles will have no problem though.
Here it is again for your benefit instead of you cranking yourself:
<http://groups.google.com/group/sci.math/msg/bf609f2256998f28>
Take care, you splendid fat Angus,... and thanks for the laughs.
ahahaha... ahahahahanson
Quote:
"Angus Rodgers" <twirlip@bigfoot.com> wrote
"Androcles" <Headmaster@Hogwarts.physics> wrote in message
news:6t7Qj.55830$_h7.11858@newsfe05.ams2...
This message is brought to you by Androcles
http://www.androcles01.pwp.blueyonder.co.uk/
"Angus Rodgers" <twirlip@bigfoot.com> wrote in message
news:fjb114p1ltma44djo23nbu6k4rlt3s1jb7@4ax.com...
| On Thu, 24 Apr 2008 14:40:42 +0100, "Androcles"
| <Headmaster@Hogwarts.physics> wrote:
| ... who knows, because he prefers to tell people to complain to
| Microsoft about the misbehaviour of Outlook Express, instead of
| working around it himself.
"Androcles" <Headmaster@Hogwarts.physics> wrote:
Some LYING shit calling itself "Angus Rodgers" .
has claimed I wrote that What a FUCKHEAD.
*plonk*
"Angus Rodgers" <twirlip@bigfoot.com> wrote
Calling someone a "lying fuckhead" when evidence of the truth of
what they wrote is in the public domain (and the very recent past!)
is idiocy of a very high quality indeed.
In case there is any genuine doubt (which I very much doubt!), I
was referring to this article, in this very thread:
http://groups.google.co.uk/group/sci.math/msg/ba9c1a808dcfd8ee
--
This message is brought to you by Androcles
http://www.androcles01.pwp.blueyonder.co.uk/
"Aatu Koskensilta" <aatu.koskensi...@xortec.fi> wrote in message
news:ShFPj.341272$NR3.76273@reader1.news.saunalahti.fi...
| On 2008-04-23, in sci.logic, Androcles wrote nothing that slrn would
| quote.
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| You are using the sig-delimiter "-- " incorrectly. It should go after
| the body of your message, not before it. Many newsreaders will
| automatically snip out everything after "-- ", as is good and proper.
Report it to Microsoft as a bug.
[That's another ten minutes of my life I'll never get back.
Oh, the joys of Usenet! Don't worry, I'm not going to waste
any more time with this idiot - I just had a moment of doubt
that I might possibly have fingered the wrong idiot.]
--
Angus Rodgers
(twirlip@ eats spam; reply to angusrod@)
Contains mild peril |
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| Nam D. Nguyen |
Posted: Thu Apr 24, 2008 10:14 pm |
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Aatu Koskensilta wrote:
Quote: On 2008-04-24, in sci.logic, Wolf Kirchmeir wrote:
1) Your proof fails for n=1. You need to add "and n=>2" to the premises.
Quite so.
2) We need rules of inference. One way to define a "rule of inference"
is "any rule that specifies the rewriting and/or combination of premises
in such a way that the result is true IFF the premises are true." The
result is termed a theorem. We define "premise" as "an axiom, or any
theorem, or any conjunction of axioms and theorems proven true."
In order to characterise or define mathematics it must be explained
what counts as an axiom and why.
That's easy. Two things that characterize axioms, in ordinary mathematics, are:
(1) Consistency: internal consistency within the axiom as a formula, and
consistency with the remaining axioms of the mathematical
formal system at hand.
(2) Semantics: The axiom should have a certain familiar "meaning" human could
associate it with. But of course, there is no fixed meaning.
"0 = 1", "0 =/= 1" both have different meanings to different
scientists, and each of them could be used as an axiom, in
certain contexts.
(2) is optional, what "means" to one needs not mean the same to others at all.
But (1) is a must: without it you might as well forget about mathematics.
Quote: In this context we may take it as unproblematic what is logically correct reasoning.
In all contexts worthy of the name "mathematical reasoning", this is a bizarre
statement! If we don't give a hoop about "what is logically correct reasoning",
about rules of inferences, then this is not the kind of mathematics that is
worthy at all!
Quote:
3) You don't need the necessary truth of the premises. Inferred truth is
sufficient. (I don't think "necessary truth" is a useful term, except as
a synonym of "inferred truth.")
But what sort of premises are acceptable?
The sorts of (1) and (2) above.
Quote: In order to make some use of
the definition of mathematics as "any theoretical activity which can
rely on theorem proving" we must explain just what "theorem proving"
amounts to.
It amounts to *cohesive* conclusions most of which would be *new* conclusions!
What do you think it would amount to?
Quote: Any logically correct argumentation from random premises
certainly does not count as "theorem proving".
What appears as "random" to one might be a "beauty" to others. For what it's
worth, uncertainty could be formalized as a set of random axioms!
Your sentiment about rules of inferences and proof machinery of, say, FOL
seems odd, for whatever the reasons! |
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| herbzet |
Posted: Thu Apr 24, 2008 11:50 pm |
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Guest
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Aatu Koskensilta wrote:
Quote: herbzet wrote:
They exist as fried broccoli.
I have a follower! I'm like Ayn Rand!
But prettier.
--
hz |
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| herbzet |
Posted: Fri Apr 25, 2008 1:23 am |
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Guest
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Androcles wrote:
Quote:
--
This message is brought to you by Androcles
http://www.androcles01.pwp.blueyonder.co.uk/
"Aatu Koskensilta" <aatu.koskensilta@xortec.fi> wrote in message
news:EjWPj.341620$r71.148555@reader1.news.saunalahti.fi...
| On 2008-04-23, in sci.logic, uri wrote:
| > Mathematics is a formal language.
|
| What formal language is that?
Latin is a formal language.
"What formal language is that?" -- Aatu Koskensilta
Aatu Koskensilta is a formal fuckhead!
WHAT FORMAL FUCKHEAD IS THAT?
*plonk*
That was quick and easy. Good work.
--
hz |
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| Androcles |
Posted: Fri Apr 25, 2008 3:21 am |
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--
This message is brought to you by Androcles
http://www.androcles01.pwp.blueyonder.co.uk/
"hanson" <hanson@quick.net> wrote in message
news:a%8Qj.15263$pH4.10802@trnddc06...
|
| "Androcles" <Headmaster@Hogwarts.physics> wrote in message
| news:6t7Qj.55830$_h7.11858@newsfe05.ams2...
| > This message is brought to you by Androcles
| > http://www.androcles01.pwp.blueyonder.co.uk/
| >
| > "Angus Rodgers" <twirlip@bigfoot.com> wrote in message
| > news:fjb114p1ltma44djo23nbu6k4rlt3s1jb7@4ax.com...
| > | On Thu, 24 Apr 2008 14:40:42 +0100, "Androcles"
| > | <Headmaster@Hogwarts.physics> wrote:
| > | ... who knows, because he prefers to tell people to complain to
| > | Microsoft about the misbehaviour of Outlook Express, instead of
| > | working around it himself.
| >
| "Androcles" <Headmaster@Hogwarts.physics> wrote:
| > Some LYING shit calling itself "Angus Rodgers" .
| > has claimed I wrote that What a FUCKHEAD.
| > *plonk*
| >
| hanson wrote:
| ahahaha.... Andro, maybe your lectures have "twirled the lips"
| of this Angus dude that he became so "big footed", But such is
| the price you have to pay for dispensing non-parroted new ken
| into the peasantry... -- Situations like that remind me always of
| the transition solution from Franco to King Carlos in the 1970s:
| He simply forbade teaching of all advanced courses.
| The peasants quieted down.
| >
That Angus dude is none other than the Jeckyl dude with yet another
monicker, Hyde-ing behind his beloved and ever shifty Monica.
| Anyway, how is your BP condition?
150 over 80 and holding.
The reason why I ask is that
| in yesterday's post of your you sounded to me so awfully morose.
Another blood test... If a cop found my body he'd think I was a heroin
addict with a pin-cushioned arm instead of a hero in add ict to connect
spacetime metrics.
| http://groups.google.com/group/sci.physics/msg/66e0b66b4c774729
| Let me ask you, are you in a lot of excruciating pain still?
| Best regards and good wishes to you,
| hanson
Across the road, about 80 yards from where I live, there is a NHS
clinic with a sign on the door saying open 9:00 am to 12:00 pm
Monday to Friday. It specialises in baby weighing, installing new
hearing aid batteries and phlebotomy.
Naturally, because I don't need the first two services, it's closed.
Three miles away is fucking big hospital with a fucking small and
very full car park and a traffic jam outside, although it does have
a bus stop. The bus stop to get to it and ride a bus to the hospital
is 120 yards away from where I live, further than the closed clinic,
and when I get to the hospital I take a number (57) and wait 45
minutes for a female culiseta longiareolata vampyri to extract a pint
and a half of the precious red liquid, which she does with utmost
efficiency while crunching a Fox's Glacier Mint (my favourite mint).
Pain index (scale 1 to 10):
A) Putting on shoes while fighting peripheral oedema
surrounding arthritic ankle ... 2
B) Walking to clinic and finding it closed... 5
C) Riding bus to hospital... 1
D) Waiting 45 minutes ... 7
E) Blood extraction... 0
F) Seeing Fox's Glacier Mint enter mouth of phlebotomist
after fasting 14 hours prepatory to test ... an excruciating 10.
http://www.cartoonstock.com/lowres/wda0310l.jpg
PS...
To compensate myself for this agony I went home and
(giving the beautiful young phlebotomist the silent finger)
ate a Fox's Glacier FRUIT, thus achieving one-up-manship. |
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| Androcles |
Posted: Fri Apr 25, 2008 3:45 am |
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--
This message is brought to you by Androcles
http://www.androcles01.pwp.blueyonder.co.uk/
"Phil the Farmer" <PArcher@astro.borchester.co.uk> wrote in message
news:67clk7F24ruelU1@mid.individual.net...
|
| "Androcles" <Headmaster@Hogwarts.physics> wrote in message
| news:6t7Qj.55830$_h7.11858@newsfe05.ams2...
| >
| >
| > --
| > This message is brought to you by Androcles
| > http://www.androcles01.pwp.blueyonder.co.uk/
| >
| > "Angus Rodgers" <twirlip@bigfoot.com> wrote in message
| > news:fjb114p1ltma44djo23nbu6k4rlt3s1jb7@4ax.com...
| > | On Thu, 24 Apr 2008 14:40:42 +0100, "Androcles"
| > | <Headmaster@Hogwarts.physics> wrote:
| > |
| > | ... who knows, because he prefers to tell people to complain to
| > | Microsoft about the misbehaviour of Outlook Express, instead of
| > | working around it himself.
| >
| >
| > Some LYING shit calling itself "Angus Rodgers" has claimed I wrote that.
| > What a FUCKHEAD.
|
| I say old chap,
| Don't you think it's a bit rich to forget that you said
|
| "Report it to Microsoft as a bug"
|
| when someone pointed out your misuse of the "--" sig delimiter
Outlook Express places it at the beginning of the missive, old fart,
and I use it. It's a pathetic delimiter anyway, as much use as tits
on a bull. Work around it if you wish, I can't be bothered. |
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| Androcles |
Posted: Fri Apr 25, 2008 4:01 am |
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Guest
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"hanson" <hanson@quick.net> wrote in message
news:vpbQj.15141$Zk5.374@trnddc05...
|
| "Angus Rodgers" <twirlip@bigfoot.com> wrote in message
| news:uo721454skvgmtt03h6ti46ecmfjd4e5vs@4ax.com...
| >
| On Thu, 24 Apr 2008 23:48:22 GMT, "hanson" <hanson@quick.net> wrote:
| > [something virtually unintelligible, including this quote:]
| >
| hanson wrote:
| ahahaha... I have no beef with you Angus.. or otherwise, but
| I'm sorry to hear that you don't have the intelligence to follow
| what I have posted. Androcles will have no problem though.
None whatsover.
"Due to their innate gentle dispositions and intelligence, Texas Longhorns
are increasingly being trained as Riding Steers."
Ref: http://en.wikipedia.org/wiki/Texas_longhorn_(cattle)
"On May 17, 1873, George Grant brought four Angus bulls to Victoria, Kansas.
He took the bulls to the fair in Kansas City where they were the topic of
much conversation at a time when Shorthorns and Longhorns were the norm. The
black hornless animals were often called "freaks" by those who saw them. The
bulls were used only in crossbreeding and have no registered progeny today."
Ref: http://en.wikipedia.org/wiki/Angus_cattle
Naturally you would have or want no beef with the freak Angus. |
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| Androcles |
Posted: Fri Apr 25, 2008 4:04 am |
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Guest
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"Don Stockbauer" <don.stockbauer@gmail.com> wrote in message
news:df00c207-5a88-4dde-a9ea-dcc1748b701d@x41g2000hsb.googlegroups.com...
| Mathematics is modeling.
Not a bad assessment at all. Yes, mathematics is modelling.
Take two brownie points. |
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| Androcles |
Posted: Fri Apr 25, 2008 4:24 am |
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Guest
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--
This message is brought to you by Androcles
http://www.androcles01.pwp.blueyonder.co.uk/
"Nam D. Nguyen" <namducnguyen@shaw.ca> wrote in message
news:A0cQj.90204$rd2.30583@pd7urf3no...
| Aatu Koskensilta wrote:
| > On 2008-04-24, in sci.logic, Wolf Kirchmeir wrote:
| >> 1) Your proof fails for n=1. You need to add "and n=>2" to the
premises.
| >
| > Quite so.
| >
| >> 2) We need rules of inference. One way to define a "rule of inference"
| >> is "any rule that specifies the rewriting and/or combination of
premises
| >> in such a way that the result is true IFF the premises are true." The
| >> result is termed a theorem. We define "premise" as "an axiom, or any
| >> theorem, or any conjunction of axioms and theorems proven true."
| >
| > In order to characterise or define mathematics it must be explained
| > what counts as an axiom and why.
|
| That's easy. Two things that characterize axioms, in ordinary mathematics,
are:
|
| (1) Consistency: internal consistency within the axiom as a formula, and
| consistency with the remaining axioms of the mathematical
| formal system at hand.
|
| (2) Semantics: The axiom should have a certain familiar "meaning" human
could
| associate it with. But of course, there is no fixed meaning.
| "0 = 1", "0 =/= 1" both have different meanings to different
| scientists, and each of them could be used as an axiom, in
| certain contexts.
Egads...
"I think, therefore I am" -- Rene Descartes.
The axioms are "I" and "think", they are concepts so primitive
they are to be accepted without proof.
The complete statement is a lemma, itself a proof.
The contrapositive: Rene Descartes is not, therefore he doesn't think.
| (2) is optional,
Nam D. Nguyen doesn't think, yet he is.
(2) is garbage. Anyone that claims "1=0" is off his fuckin' trolley. |
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| Nam D. Nguyen |
Posted: Fri Apr 25, 2008 8:19 am |
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Guest
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Androcles wrote:
Quote: Anyone that claims "1=0" is off his fuckin' trolley.
Instead of indulgence of vulgarity, perhaps you could
try to understand what a singleton set is! |
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| Androcles |
Posted: Fri Apr 25, 2008 8:31 am |
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Guest
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--
This message is brought to you by Androcles
http://www.androcles01.pwp.blueyonder.co.uk/
"Nam D. Nguyen" <namducnguyen@shaw.ca> wrote in message
news:fTkQj.220234$pM4.139649@pd7urf1no...
| Androcles wrote:
|
| > Anyone that claims "1=0" is off his fuckin' trolley.
|
| Instead of
Did you ridiculously snip in an attempt to escape embarrassment
at your ridiculous claim?
Instead of indulging in stupidity, perhaps you could try to understand
what trivial is!
Nam D. Nguyen wrote:
| That's easy. Two things that characterize axioms, in ordinary mathematics,
are:
|
| (1) Consistency: internal consistency within the axiom as a formula, and
| consistency with the remaining axioms of the mathematical
| formal system at hand.
|
| (2) Semantics: The axiom should have a certain familiar "meaning" human
could
| associate it with. But of course, there is no fixed meaning.
| "0 = 1", "0 =/= 1" both have different meanings to different
| scientists, and each of them could be used as an axiom, in
| certain contexts.
Androcles wrote:
Egads...
"I think, therefore I am" -- Rene Descartes.
The axioms are "I" and "think", they are concepts so primitive
they are to be accepted without proof.
The complete statement is a lemma, itself a proof.
The contrapositive: Rene Descartes is not, therefore he doesn't think.
| (2) is optional,
Nam D. Nguyen doesn't think, yet he is.
(2) is garbage. Anyone that claims "1=0" is off his fuckin' trolley. |
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| Phil the Farmer |
Posted: Fri Apr 25, 2008 1:37 pm |
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Guest
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"Androcles" <Headmaster@Hogwarts.physics> wrote in message
news:EUgQj.124385$qj3.92880@newsfe20.ams2...
Quote:
--
This message is brought to you by Androcles
http://www.androcles01.pwp.blueyonder.co.uk/
"Phil the Farmer" <PArcher@astro.borchester.co.uk> wrote in message
news:67clk7F24ruelU1@mid.individual.net...
|
| "Androcles" <Headmaster@Hogwarts.physics> wrote in message
| news:6t7Qj.55830$_h7.11858@newsfe05.ams2...
|
|
| > --
| > This message is brought to you by Androcles
| > http://www.androcles01.pwp.blueyonder.co.uk/
|
| > "Angus Rodgers" <twirlip@bigfoot.com> wrote in message
| > news:fjb114p1ltma44djo23nbu6k4rlt3s1jb7@4ax.com...
| > | On Thu, 24 Apr 2008 14:40:42 +0100, "Androcles"
| > | <Headmaster@Hogwarts.physics> wrote:
| > |
| > | ... who knows, because he prefers to tell people to complain to
| > | Microsoft about the misbehaviour of Outlook Express, instead of
| > | working around it himself.
|
|
| > Some LYING shit calling itself "Angus Rodgers" has claimed I
wrote that.
| > What a FUCKHEAD.
|
| I say old chap,
| Don't you think it's a bit rich to forget that you said
|
| "Report it to Microsoft as a bug"
|
| when someone pointed out your misuse of the "--" sig delimiter
Outlook Express places it at the beginning of the missive, old fart,
and I use it. It's a pathetic delimiter anyway, as much use as tits
on a bull. Work around it if you wish, I can't be bothered.
No, No, old chap
You miss my point
You called Angus a 'Lying shit' and a 'fuckhead' when he simply
commented on what you had previously said.
Now fuck off ! |
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| Aatu Koskensilta |
Posted: Sat Apr 26, 2008 7:12 am |
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Guest
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On 2008-04-24, in sci.logic, Wolf Kirchmeir wrote:
Quote: Theorem proving amounts to writing a series of statements, each of which
is produced by inference rules applied to one or more of the premises.
NB that by this definition, any such statement in turn becomes a premise.
Then we are back to treating just any logically correct argumentation
as mathematics.
Quote: NB also that by the given definition, in mathematics "true" is a
property of statements. Any theorem is true by virtue of proof. Axioms
are true by definition.
We can find a logically correct derivation of "0=1" from any number of
premises. Surely that doesn't mean that 0=1 is true.
--
Aatu Koskensilta (aatu.koskensilta@xortec.fi)
"Wovon man nicht sprechen kann, daruber muss man schweigen"
- Ludwig Wittgenstein, Tractatus Logico-Philosophicus |
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| Aatu Koskensilta |
Posted: Sat Apr 26, 2008 7:14 am |
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Guest
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On 2008-04-24, in sci.logic, Lester Zick wrote:
Quote: On Thu, 24 Apr 2008 07:14:17 GMT, Aatu Koskensilta
aatu.koskensilta@xortec.fi> wrote:
But do you count just any demonstration of truth as mathematics?
Of course. No other way to settle issues.
So if someone demonstrates he was, in fact, at home yesterday that's
mathematics?
--
Aatu Koskensilta (aatu.koskensilta@xortec.fi)
"Wovon man nicht sprechen kann, daruber muss man schweigen"
- Ludwig Wittgenstein, Tractatus Logico-Philosophicus |
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