In a message dated 5/21/02 11:10:14 PM Pacific Daylight Time, 
[EMAIL PROTECTED] writes:

> From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED]]
>  Sent: 21 May 2002 18:42
>  To: [EMAIL PROTECTED]
>  Subject: [PEN-L:26130] Re: Re: gould dies at 60
>  
>  >(Thus water after it is heated up gradually, 
>  >suddenly begins to boil. 
>  
>  If you're going to show this book to people who are of a pedantic
>  disposition, you might want to find a different example.  This isn't true 
of
>  water, which gradually approaches boiling point along its boiling curve.
>  Boiling is the limit of a process whereby the heat lost from evaporation
>  increases as a liquid is heated; it's the point on the boiling curve at
>  which the heat loss from evaporation exceeds the heat applied, if I 
remember
>  O-level physics right.
>  
>  The freezing of water as it is gradually cooled is much more like the
>  discontinuous process you want; supercritical liquids can freeze all in an
>  instant.  But liquids come to the boil gradually.
>  
>  dd


Daniel--

Boiling and freezing, like all physical processes are indeed quite complex 
when you start to look at them closely. This does not negate the point I was 
attempting to make.

The boiling point of water is usually defined as the temperature at which the 
maximum (or "saturated") vapor pressure of a liquid is equal to the 
prevailing atmospheric pressure. (This is why the boiling point varies with 
altitude.) But water, like all other liquids, does NOT necessarily boil at 
its boiling point! Water can be super-heated, that is, raised above its 
boiling point without boiling, just as it can be super-cooled (lowered below 
its freezing point without freezing). There are a variety of factors which 
either facilitate this or make it less likely. (Adding a thin film of oil 
over water is one way to facilitate it.)

If anyone really wants to get into some of the further complexities of the 
boiling process, I have explored this particular example in considerable 
depth in my essay "Notes on 'Notes on Political Economy'", especially the 
section entitled "Thresholds and 'Absolute' Thresholds". This essay, by the 
way is a critique of the recent  philosophical methodology employed by the 
Revolutionary Communist Party, USA, with respect to both political economy 
and its general political appraisal of the world situation. It is posted at: 
http://members.aol.com/ScottH9999/essays/NotesNPE.htm

It is true that water does not begin to boil at an instaneous moment. Boiling 
itself is a process, and all processes take time. But compared to the long 
period of heating that it normally takes to raise water in a tea kettle, say, 
to the boiling point (or rather to where it "starts" to boil), the boiling is 
a sudden qualitative change.

The way to really understand this is to recognize that overall in virtually 
any process there are two periods--a period of gradual change, which leads up 
to a period of sudden transition. But even the period of sudden transition 
takes SOME time; it is just that the time it takes is very short in 
comparison with the time typically required by the period of gradual change. 

The key principle of dialectics here is the interpenetration of opposites. 
There are actually dialectical leaps within periods of gradual change, and 
there are actually periods of gradual change within dialectical leaps.

Hope this helps.

--Scott Harrison

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