<div dir="ltr"><div><br></div>My summary of the history of physics was quite wrong: the idea of infinitesimals and their application has been around since the time of Archimedes:<br><br><div><div class="gmail_extra"> <a href="http://www.idsia.ch/%7Ejuergen/archimedes.html" target="_blank">http://www.idsia.ch/~juergen/archimedes.html</a> <br>
<br><a href="http://en.wikipedia.org/wiki/Infinitesimal">http://en.wikipedia.org/wiki/Infinitesimal</a><br><br></div><div class="gmail_extra">The moral is, it takes a while for fundamental ideas in science to promulgate :-)<br>
</div><div class="gmail_extra"><br><div class="gmail_quote">On Mon, Jan 27, 2014 at 3:38 PM, Ivan Raikov <span dir="ltr"><<a href="mailto:ivan.g.raikov@gmail.com" target="_blank">ivan.g.raikov@gmail.com</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div><div><br></div>Speaking of radio and electromagnetic waves, it is perhaps the case that neuroscience has not yet reached the maturity of 19th century physics: while the discovery of electromagnetism is attributed to great experimentalists such as Ampere and Faraday, and its mathematical model is attributed to one of the greatest modelers in physics, Maxwell, none of it happened in isolation. There was a lot of duplicated experimental work and simultaneous independent discoveries in that time period, and Maxwell's equations were readily accepted and quickly refined by a number of physicists after he first postulated them. So in a sense physics had a consensus community model of electromagnetism already in the first half of the 19th century. Neuroscience is perhaps more akin to physics in the 17th century, when Newton's infinitesimal calculus was rejected and even mocked by the scientific establishment on the continent, and many years would pass until calculus was understood and widely accepted. So a unifying theory of neuroscience may not come until a lot of independent and reproducible experimentation brings it about. <br>
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<br></font></span></div><span class=""><font color="#888888"> -Ivan</font></span><div class="im"><br><div><div><div class="gmail_extra"><br><br><div class="gmail_quote">On Mon, Jan 27, 2014 at 1:39 PM, Thomas Trappenberg <span dir="ltr"><<a href="mailto:tt@cs.dal.ca" target="_blank">tt@cs.dal.ca</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><p dir="ltr">Some of our discussion seems to be about 'How the brain works'. I am of course not smart enough to answer this question. So let me try another system.</p>
<p dir="ltr">How does a radio work? I guess it uses an antenna to sense an electromagnetic wave that is then amplified so that an electromagnet can drive a membrane to produce an airwave that can be sensed by our ear. Hope this captures some essential aspects.</p>
<p dir="ltr">Now that you know, can you repair it when it doesn't work?</p><br></blockquote></div></div></div></div></div></div>
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