Re: Ada Lovelace: others & forerunners

"Bruno Marchal [email protected] [Fabric-of-Reality]" <[email protected]> Fri, 9 Oct 2015 13:20:08 +0200
Newsgroups gmane.science.physics.fabric-of-reality
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On 08 Oct 2015, at 23:21, David Deutsch david.deutsch-LR/[email protected]  
[Fabric-=
of-Reality] wrote:


>
> On 8 Oct 2015, at 16:33, Bruno Marchal marchal@ulb.=
ac.be [Fabric-of- 
> Reality] <[email protected]> wrote:
>>=


>> On 24 Sep 2015, at 13:33, hibbsa-/[email protected] [Fabric-of-Reality] wrote:
>=
>> regarding Ada Lovelace contributions to computing, David Deutsch  
>>> t=
weets:
>>>
>>> "ProfBrianCox @FryRsquared Fascinating. It convinced me that=
 I was  
>>> wrong: Babbage never really got universality. Lovelace totally=
 did."
>>>
>>
>> Hmm... I have a little french book from 1911 by Jacques La=
fitte  
>> which gave me indirect evidence that Babbage did got the  
>> "u=
niversality" insight (for computations). he got it not from his  
>> machin=
e(s), but from the language he invented to describe the  
>> machine, and h=
e realized that such a language is as powerfull than  
>> his machine.
>> I=
 have evidence that Ada invented programming and subroutine, but I  
>> am =
not sure she get the universality I will take a look (when I  
>> have more=
 time).
>
> The documentary says (and gives what I consider very strong  
>=
 arguments and evidence for, including Babbage's own letters to  
> Lovelac=
e) that Babbage totally 'got' computational universality in  
> the arithme=
tical sense,


In the arithmetical sense already? I guess you mean in the se=
nse of  
computing all arithmetical computable function (all computable  
f=
unction from N to N), and not as meaning: being able to be emulated  
by ar=
ithmetic (the later discovery made partially by G=C3=B6del and clearly  
by=
 davis and Kleene that a tiny part arithmetic (Robinson arithmetic)  
is Tu=
ring universal.
Today we know that just diophantine polynomials are already=
 Turing  
universal, even with the polynomial degree limited to 4.




> and =
was the first person ever to do so, and to recognise its  
> importance.


I=
nteresting! That's new evidence for me. It confirms Lafitte analysis,  
whi=
ch was informal, as Lafitte did not yet know about Church-Turing  
thesis.
=






> But he didn't even conceive of using the registers of the Analytical  =


> Engine as symbols for anything but numbers -- until he read it in  
> Lo=
velace's commentary. And even then, he thought it an interesting  
> but in=
cidental property, not the fundamental and much more  
> significant one.


=
I will think about this, and look further. Thanks.


Bruno Marchal






>
> --=
 David Deutsch
>
>
>
> 


http://iridia.ulb.ac.be/~marchal/







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      <p><br><div><div>On 08 Oct 2015, at 23:21, David Deutsch <a href=3D"m=
ailto:david.deutsch-LR/[email protected]">david.deutsch-LR/[email protected]</a> [Fabric-of-Reali=
ty] wrote:</div><br class=3D"Apple-interchange-newline"><blockquote type=3D=
"cite">     <div style=3D"background-color: rgb(255, 255, 255);"> <span>&nb=
sp;</span>      <div id=3D"ygrp-text"><div><br class=3D"webkit-block-placeh=
older"></div><div id=3D"ygrps-yiv-985293242">On 8 Oct 2015, at 16:33, Bruno=
 Marchal <a rel=3D"nofollow" target=3D"_blank" href=3D"mailto:[email protected]=
c.be" class=3D"ygrps-yiv-985293242">[email protected]</a> [Fabric-of-Realit=
y] &lt;<a rel=3D"nofollow" target=3D"_blank" href=3D"mailto:Fabric-of-Reali=
[email protected]" class=3D"ygrps-yiv-985293242">Fabric-of-Reality@yahoogr=
oups.com</a>&gt; wrote:<br class=3D"ygrps-yiv-985293242"><div><blockquote t=
ype=3D"cite" class=3D"ygrps-yiv-985293242"><br class=3D"ygrps-yiv-985293242=
"><div class=3D"ygrps-yiv-985293242"><div style=3D"font-family:Monaco;font-=
size:14px;font-style:normal;font-variant:normal;font-weight:normal;letter-s=
pacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-s=
pacing:0px;" class=3D"ygrps-yiv-985293242"><div class=3D"ygrps-yiv-98529324=
2">On 24 Sep 2015, at 13:33,<span class=3D"ygrps-yiv-985293242Apple-convert=
ed-space">&nbsp;</span><a rel=3D"nofollow" target=3D"_blank" href=3D"mailto=
:hibbsa-/[email protected]" class=3D"ygrps-yiv-985293242">hibbsa-/[email protected]</a><span =
class=3D"ygrps-yiv-985293242Apple-converted-space">&nbsp;</span>[Fabric-of-=
Reality] wrote:</div><blockquote type=3D"cite" class=3D"ygrps-yiv-985293242=
"><div style=3D"background-color:rgb(255, 255, 255);" class=3D"ygrps-yiv-98=
5293242"><div id=3D"ygrps-yiv-985293242ygrp-text" class=3D"ygrps-yiv-985293=
242"><p style=3D"padding:15px 0px 3px;overflow:hidden;" class=3D"ygrps-yiv-=
985293242">regarding Ada Lovelace contributions to computing, David Deutsch=
<span class=3D"ygrps-yiv-985293242Apple-converted-space">&nbsp;</span><a re=
l=3D"nofollow" target=3D"_blank" href=3D"https://twitter.com/DavidDeutschOx=
f/status/644977353651785730" class=3D"ygrps-yiv-985293242"><font class=3D"y=
grps-yiv-985293242">tweets</font></a>:</p><p style=3D"padding:15px 0px 3px;=
overflow:hidden;" class=3D"ygrps-yiv-985293242">"<a rel=3D"nofollow" class=
=3D"ygrps-yiv-985293242"><u class=3D"ygrps-yiv-985293242"><font color=3D"#0=
000ff" class=3D"ygrps-yiv-985293242"><span lang=3D"EN-GB" class=3D"ygrps-yi=
v-985293242">ProfBrianCox</span></font></u></a><span lang=3D"EN-GB" class=
=3D"ygrps-yiv-985293242"><span class=3D"ygrps-yiv-985293242Apple-converted-=
space">&nbsp;</span></span><a rel=3D"nofollow" class=3D"ygrps-yiv-985293242=
"><u class=3D"ygrps-yiv-985293242"><strike class=3D"ygrps-yiv-985293242"><f=
ont color=3D"#0000ff" class=3D"ygrps-yiv-985293242"><span lang=3D"EN-GB" cl=
ass=3D"ygrps-yiv-985293242">@</span></font></strike><font color=3D"#0000ff"=
 class=3D"ygrps-yiv-985293242">FryRsquared</font></u></a><span lang=3D"EN-G=
B" class=3D"ygrps-yiv-985293242"><span class=3D"ygrps-yiv-985293242Apple-co=
nverted-space">&nbsp;</span>Fascinating. It convinced me that I was wrong: =
Babbage never really got universality. Lovelace totally did."</span></p></d=
iv></div></blockquote></div><div style=3D"font-family:Monaco;font-size:14px=
;font-style:normal;font-variant:normal;font-weight:normal;letter-spacing:no=
rmal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0p=
x;" class=3D"ygrps-yiv-985293242">Hmm... I have a little french book from 1=
911 by Jacques Lafitte which gave me indirect evidence that Babbage did got=
 the "universality" insight (for computations). he got it not from his mach=
ine(s), but from the language he invented to describe the machine, and he r=
ealized that such a language is as powerfull than his machine.</div><div st=
yle=3D"font-family:Monaco;font-size:14px;font-style:normal;font-variant:nor=
mal;font-weight:normal;letter-spacing:normal;text-indent:0px;text-transform=
:none;white-space:normal;word-spacing:0px;" class=3D"ygrps-yiv-985293242">I=
 have evidence that Ada invented programming and subroutine, but I am not s=
ure she get the universality I will take a look (when I have more time).</d=
iv></div></blockquote><br class=3D"ygrps-yiv-985293242"></div><div>The docu=
mentary says (and gives what I consider very strong arguments and evidence =
for, including Babbage's own letters to Lovelace) that Babbage totally 'got=
' computational universality in the arithmetical sense, </div></div></div><=
/div></blockquote></div><div><br></div><div>In the arithmetical sense alrea=
dy? I guess you mean in the sense of computing all arithmetical computable =
function (all computable function from N to N), and not as meaning: being a=
ble to be emulated by arithmetic (the later discovery made partially by G=
=C3=B6del and clearly by davis and Kleene that a tiny part arithmetic (Robi=
nson arithmetic) is Turing universal.</div><div>Today we know that just dio=
phantine polynomials are already Turing universal, even with the polynomial=
 degree limited to 4.</div><div><br></div><br><blockquote type=3D"cite"><di=
v style=3D"background-color: rgb(255, 255, 255);"><div id=3D"ygrp-mlmsg"><d=
iv id=3D"ygrp-msg"><div id=3D"ygrp-text"><div id=3D"ygrps-yiv-985293242"><d=
iv>and was the first person ever to do so, and to recognise its importance.=
 </div></div></div></div></div></div></blockquote><div><br></div><div>Inter=
esting! That's new evidence for me. It confirms Lafitte analysis, which was=
 informal, as Lafitte did not yet know about Church-Turing thesis.</div><di=
v><br></div><div><br></div><br><blockquote type=3D"cite"><div style=3D"back=
ground-color: rgb(255, 255, 255);"><div id=3D"ygrp-mlmsg"><div id=3D"ygrp-m=
sg"><div id=3D"ygrp-text"><div id=3D"ygrps-yiv-985293242"><div>But he didn'=
t even conceive of using the registers of the Analytical Engine as symbols =
for anything but numbers -- until he read it in Lovelace's commentary. And =
even then, he thought it an interesting but incidental property, not the fu=
ndamental and much more significant one.</div></div></div></div></div></div=
></blockquote><div><br></div><div>I will think about this, and look further=
. Thanks.</div><div><br></div><div>Bruno Marchal</div><div><br></div><div><=
br></div><br><blockquote type=3D"cite"><div style=3D"background-color: rgb(=
255, 255, 255);"><div id=3D"ygrp-mlmsg"><div id=3D"ygrp-msg"><div id=3D"ygr=
p-text"><div id=3D"ygrps-yiv-985293242"><div><br class=3D"ygrps-yiv-9852932=
42"></div><div>-- David Deutsch</div><div><br class=3D"ygrps-yiv-985293242"=
></div><br class=3D"ygrps-yiv-985293242"></div><div><br class=3D"webkit-blo=
ck-placeholder"></div>     </div>          </div>   <!-- end group email --=
> </div></div></blockquote><br><div apple=3D"true"> <span class=3D"Apple-st=
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y: Helvetica;font-size: 12px;font-style: normal;font-variant: normal;font-w=
eight: normal;letter-spacing: normal;text-align: auto;text-indent: 0px;"><d=
iv><div><a href=3D"http://iridia.ulb.ac.be/~marchal/">http://iridia.ulb.ac.=
be/~marchal/</a></div><div><br class=3D"webkit-block-placeholder"></div></d=
iv></span><br class=3D"Apple-interchange-newline"> </div><br></p>

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    float: left;
    width: 72px;
  }

  #photos div div {
    border: 1px solid #666666;
    height: 62px;
    overflow: hidden;
    width: 62px;
  }

  #photos div label {
    color: #666666;
    font-size: 10px;
    overflow: hidden;
    text-align: center;
    white-space: nowrap;
    width: 64px;
  }

  #reco-category {
    font-size: 77%;
  }

  #reco-desc {
    font-size: 77%;
  }

  .replbq {
    margin: 4px;
  }

  #ygrp-actbar div a:first-child {
   /* border-right: 0px solid #000;*/
    margin-right: 2px;
    padding-right: 5px;
  }

  #ygrp-mlmsg {
    font-size: 13px;
    font-family: Arial, helvetica,clean, sans-serif;
    *font-size: small;
    *font: x-small;
  }

  #ygrp-mlmsg table {
    font-size: inherit;
    font: 100%;
  }

  #ygrp-mlmsg select, input, textarea {
    font: 99% Arial, Helvetica, clean, sans-serif;
  }

  #ygrp-mlmsg pre, code {
    font:115% monospace;
    *font-size:100%;
  }

  #ygrp-mlmsg * {
    line-height: 1.22em;
  }

  #ygrp-mlmsg #logo {
    padding-bottom: 10px;
  }


  #ygrp-msg p a {
    font-family: Verdana;
  }

  #ygrp-msg p#attach-count span {
    color: #1E66AE;
    font-weight: 700;
  }

  #ygrp-reco #reco-head {
    color: #ff7900;
    font-weight: 700;
  }

  #ygrp-reco {
    margin-bottom: 20px;
    padding: 0px;
  }

  #ygrp-sponsor #ov li a {
    font-size: 130%;
    text-decoration: none;
  }

  #ygrp-sponsor #ov li {
    font-size: 77%;
    list-style-type: square;
    padding: 6px 0;
  }=20

  #ygrp-sponsor #ov ul {
    margin: 0;
    padding: 0 0 0 8px;
  }

  #ygrp-text {
    font-family: Georgia;
  }

  #ygrp-text p {
    margin: 0 0 1em 0;
  }

  #ygrp-text tt {
    font-size: 120%;
  }

  #ygrp-vital ul li:last-child {
    border-right: none !important;=20
  }=20
  -->
  </style>
</head>

<!--~-|**|PrettyHtmlEnd|**|-~-->
</html>
<!-- end group email -->


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