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Dead Reckoning, with the 'a'



 
 
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  #1  
Old August 5th 04, 02:02 PM
David Megginson
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Default Dead Reckoning, with the 'a'

Corky Scott wrote:

The folk etymology from deduced is not documented in the OED or any
other historical dictionary. Dead reckoning is navigation without
stellar observation. With stellar observation, you are "live", working
with the stars and the movement of the planet. With logs, compasses,
clocks, but no sky, you are working "dead".


Thanks for looking that up, Corky. Another explanation I've heard is
reckoning against something dead in the water (i.e. not under sail), but
that doesn't sound entirely convincing either. I wonder if it has any
relationship to the phrase "dead ahead".


All the best,


David
  #2  
Old August 5th 04, 07:15 PM
David Megginson
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Gary Drescher wrote:

Yup. Also, "deduced reckoning" would be redundant, as reckoning is
inherently deductive.


The Count on Sesame Street can reckon inductively: "one, two, three, THREE
COOKIES!!! BWAAA HAAA HAA!!!"


All the best,


David
  #3  
Old August 7th 04, 03:23 AM
vincent p. norris
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Yup. Also, "deduced reckoning" would be redundant, as reckoning is
inherently deductive.


"Deduction" means going from the universal to the particular, as in
the classic example used in logic textbooks:

All men are mortal. Socrates is a man. Ergo, Socrates is mortal.

INduction is the process of drawing inferences from PARTICULAR
OBSERVATIONS, as in::

Socrates died. Aristotle died. Ptolemy died. Ergo, all men die.

Dead reckoning starts with "inputting" particulars--the airspeed of MY
airplane, the heading I AM going to fly TODAY, the CURRENT wind, and
therefore, it is an example of induction, not deduction.

Science is an inductive process. Statistics is inductive. Philososphy
and theology are deductive.

I suspect, but without any supporting evidence, that "dead" reckoning
comes from the use of "dead' in phrases such as "Dead right." "Dead
on." "Dead center." Meaning, "exact."

Dead reckoning is EXACT in that, provided the INPUTS are correct, the
results will be EXACTLY right.

That, BTW, is the case with all inductive processes. As the saying
goes, garbage in, garbage out.

If the winds are not as forecast, if you don't hold the heading
precisely, the results will be erroneous. But that is not a f ault of
the dead reckoning process.

vince norris
  #4  
Old August 10th 04, 02:02 PM
Gary Drescher
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"vincent p. norris" wrote in message
...
Yup. Also, "deduced reckoning" would be redundant, as reckoning is
inherently deductive.


"Deduction" means going from the universal to the particular, as in
the classic example used in logic textbooks:

All men are mortal. Socrates is a man. Ergo, Socrates is mortal.

INduction is the process of drawing inferences from PARTICULAR
OBSERVATIONS, as in::

Socrates died. Aristotle died. Ptolemy died. Ergo, all men die.

Dead reckoning starts with "inputting" particulars--the airspeed of MY
airplane, the heading I AM going to fly TODAY, the CURRENT wind, and
therefore, it is an example of induction, not deduction.


Reasoning from the general to the particular, as in the syllogism you cited,
is one of the earliest and simplest kinds of deduction to have been
formalized. But any chain of reasoning that follows by necessity from
general axioms constitutes deduction. Hence, deduction includes, for
example, calculating that 2+2=4 (because that equation follows from the
axioms of arithmetic, even though the equation addresses particular
parameters). Similarly, it is deductive to reason from the axioms of
Euclidean geometry that if I start at position x,y and travel in direction
theta for t minutes at v knots, then I am at position x',y'.

Induction, by contrast, involves a supposition that new instances will
continue to resemble old instances (as in your example above), even though
the contrary is logically possible. (To confuse matters, what's known as
"mathematical induction" is actually a form of deduction.)

Science is an inductive process. Statistics is inductive. Philososphy
and theology are deductive.


Science and philosophy make extensive use of both inductive and deductive
reasoning. Mathematics is purely deductive. Statistics, as a branch of
mathematics, is deductive, but using statistical reasoning to make
predictions involves an inductive leap within deduced constraints.

--Gary


 




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