Counter Intuitive Intuition



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Topic: Science > Physics
User: "Lester Zick"
Date: 05 Oct 2006 11:10:02 AM
Object: Counter Intuitive Intuition
Counter Intuitive Intuition
~v~~
Empirical speculations are certainly intuitive as are the axioms of
mathematics. How then are we to support much less demonstrate the
truth of intuition counter intuitively? We might suppose one could
demonstrate the truth of intuition intuitively because intuition is at
least sui generis. But how is it exactly we are supposed to prove the
truth of intuition counter intuitively?
Obviously for intuitions one can at best demonstrate that intuitions
are not inconsistent with other intuitions. In mathematics that proof
takes the form of logical demonstration whereas in physics it takes
the form of experimental demonstration. However in neither case can it
take the form of counter intuition because neither is sui generis the
other. In fact it's quite hard to fathom what counter intuition is
supposed to be exactly that intuition already isn't and I suspect that
counter intuition is really only supposed to be experimentally and
logically indeterminate.
~v~~
.

User: "Igor"

Title: Re: Counter Intuitive Intuition 05 Oct 2006 12:09:56 PM
Lester Zick wrote:

Counter Intuitive Intuition
~v~~

Empirical speculations are certainly intuitive as are the axioms of
mathematics. How then are we to support much less demonstrate the
truth of intuition counter intuitively? We might suppose one could
demonstrate the truth of intuition intuitively because intuition is at
least sui generis. But how is it exactly we are supposed to prove the
truth of intuition counter intuitively?

Obviously for intuitions one can at best demonstrate that intuitions
are not inconsistent with other intuitions. In mathematics that proof
takes the form of logical demonstration whereas in physics it takes
the form of experimental demonstration. However in neither case can it
take the form of counter intuition because neither is sui generis the
other. In fact it's quite hard to fathom what counter intuition is
supposed to be exactly that intuition already isn't and I suspect that
counter intuition is really only supposed to be experimentally and
logically indeterminate.

What the hell's an empirical speculation? And what are you trying to
say with the rest of that random word salad?
.
User: "Lester Zick"

Title: Re: Counter Intuitive Intuition 05 Oct 2006 01:19:10 PM
On 5 Oct 2006 10:09:56 -0700, "Igor" <thoovler@excite.com> wrote:


Lester Zick wrote:

Counter Intuitive Intuition
~v~~

Empirical speculations are certainly intuitive as are the axioms of
mathematics. How then are we to support much less demonstrate the
truth of intuition counter intuitively? We might suppose one could
demonstrate the truth of intuition intuitively because intuition is at
least sui generis. But how is it exactly we are supposed to prove the
truth of intuition counter intuitively?

Obviously for intuitions one can at best demonstrate that intuitions
are not inconsistent with other intuitions. In mathematics that proof
takes the form of logical demonstration whereas in physics it takes
the form of experimental demonstration. However in neither case can it
take the form of counter intuition because neither is sui generis the
other. In fact it's quite hard to fathom what counter intuition is
supposed to be exactly that intuition already isn't and I suspect that
counter intuition is really only supposed to be experimentally and
logically indeterminate.


What the hell's an empirical speculation?

It's what empiricists do. Guesswork by any other name.

And what are you trying to
say with the rest of that random word salad?

I guess what I'm trying to say is more or less what I said: intuition
is never demonstrated or even supported by counter intuition. Neither
is your own random word salad demonstrated or even supported by
counter intuition.
~v~~
.


User: "tadchem"

Title: Re: Counter Intuitive Intuition 05 Oct 2006 04:23:05 PM
Lester Zick wrote:

Counter Intuitive Intuition
~v~~

Empirical speculations are certainly intuitive as are the axioms of
mathematics. How then are we to support much less demonstrate the
truth of intuition counter intuitively? We might suppose one could
demonstrate the truth of intuition intuitively because intuition is at
least sui generis. But how is it exactly we are supposed to prove the
truth of intuition counter intuitively?

I always thought 'demonstration' is an inherently empirical (i.e.
external) process, and thus neither intuitive nor counter-intuitive
(both of which are internal mental processes). At least, all
'demonstrations' I have ever seen occurred outside of my own head.
I have also always felt that 'truth' is a word best left to those who
call themselves philosophers and theologians, but that is simply a
personal opinion.
Aristotle relied on intuition heavily when he claimed that heavier
objects fall faster than lighter ones, so we know that 'intuition' is a
fallible technique.
Pray tell, what does the phrase 'the truth of intuition' mean?
If intuition is truly sui generis, how can you make a strong
correlation to anything else, especially 'truth'? I believe a strong
case can be made for the argument that 'intuition' is simply the
pre-technological term for 'fuzzy logic.' In particular, 'intuition'
refers to a process of making a decision based on the probabilities of
options using incomplete data, rather than awaiting complete data
sufficient for a rigorous proof.
Why do you feel compelled to 'prove' (a term with an exact meaning only
in logic and mathematics) 'the truth of intuition' at all, let alone
according to some as-yet-undescribed but explicitly 'counter-intuitive'
process?
Tom Davidson
Richmond, VA
.
User: "Lester Zick"

Title: Re: Counter Intuitive Intuition 05 Oct 2006 06:18:57 PM
On 5 Oct 2006 14:23:05 -0700, "tadchem" <tadchem@comcast.net> wrote:


Lester Zick wrote:

Counter Intuitive Intuition
~v~~

Empirical speculations are certainly intuitive as are the axioms of
mathematics. How then are we to support much less demonstrate the
truth of intuition counter intuitively? We might suppose one could
demonstrate the truth of intuition intuitively because intuition is at
least sui generis. But how is it exactly we are supposed to prove the
truth of intuition counter intuitively?


I always thought 'demonstration' is an inherently empirical (i.e.
external) process,

So demonstration is an inherently non demonstrable process?

and thus neither intuitive nor counter-intuitive
(both of which are internal mental processes).

Oh I dunno. Quantum processes seem pretty much counter intuitive.

At least, all
'demonstrations' I have ever seen occurred outside of my own head.

So "demonstrations" are inherently neither intuitive nor counter
intuitive? So where does axiomatic truth lie or the counter intuitive
truth of infinity?

I have also always felt that 'truth' is a word best left to those who
call themselves philosophers and theologians, but that is simply a
personal opinion.

Of course those who are inept to deal with truth are more than willing
to concede what they are incompetent to deal with to those even more
incompetent than they are. Why am I not surprised?

Aristotle relied on intuition heavily when he claimed that heavier
objects fall faster than lighter ones, so we know that 'intuition' is a
fallible technique.

Just as Einstein relied on intuition heavily when he claimed relative
velocity was the determinant of frame of reference contraction. Non
starter.

Pray tell, what does the phrase 'the truth of intuition' mean?

It means that no one can appraise the truth of intuition other than by
a lack of contradiction with other intuitions.

If intuition is truly sui generis, how can you make a strong
correlation to anything else, especially 'truth'?

I don't see how one can. The best one can hope for is that other
intuitions don't pop to bite you in the *****.

I believe a strong
case can be made for the argument that 'intuition' is simply the
pre-technological term for 'fuzzy logic.'

Well here I would certainly agree in conventional terms. The
difficulty is intuitionists keep hoping the logic in "fuzzy logic"
will pop up to help them to no avail.

In particular, 'intuition'
refers to a process of making a decision based on the probabilities of
options using incomplete data, rather than awaiting complete data
sufficient for a rigorous proof.

Which would be when precisely?

Why do you feel compelled to 'prove' (a term with an exact meaning only
in logic and mathematics) 'the truth of intuition' at all, let alone
according to some as-yet-undescribed but explicitly 'counter-intuitive'
process?

I don't expect to prove the truth of an intuition at all. I just
notice mathematikers and empiricists use notions of counter intuition
all the time to sanctify their empirical speculations.
~v~~
.

User: ""

Title: Re: Counter Intuitive Intuition 07 Oct 2006 05:23:24 AM
tadchem wrote:

Aristotle relied on intuition heavily when he claimed that heavier
objects fall faster than lighter ones, so we know that 'intuition' is a
fallible technique.
Tom Davidson
Richmond, VA

That's a very weak argument. But your point is clear and I can imagine
a better argument to make that point. However it still leaves open the
issue of why some people are vastly better at deciding which empirical
tests to make. It is not random and it does not depend on what current
science indicates is likely. See Einstein and the time it took for
acceptance. That there are people who overestimate their intuitive
abilities (not to speak of idiots) does not mean that intuition is
something other that unconsious deduction and induction. Some people
have the ability to nearly instantaneously come up with theories that
turn out to be true vastly more often then chance. HOw do they do
this?
It is standard theory out there that indigenous people's empirically -
not with any great statistical record keeping - tested plants in their
areas and when they found one that seemed to help with certain ailments
they kept using it. This random eating and seeing what happens is
absurd and does not fit their own accounts of how they learned about
their medicinal plants. (a reading of ethnobotony can give you a sense
of the various ways they describe this process, but these can generally
be translated into Western culture as 'they used intuitive techniques).
Rationalists find this very hard to swallow, never noticing their own
reliance on intuition adn the strong, repeatable intuition of the
scientists and other thinkers they admire.
.
User: ""

Title: Re: Counter Intuitive Intuition 11 Oct 2006 11:35:33 AM
wrote:

tadchem wrote:

Aristotle relied on intuition heavily when he claimed that heavier
objects fall faster than lighter ones, so we know that 'intuition' is a
fallible technique.
Tom Davidson
Richmond, VA


That's a very weak argument. But your point is clear and I can imagine
a better argument to make that point. However it still leaves open the
issue of why some people are vastly better at deciding which empirical
tests to make. It is not random and it does not depend on what current
science indicates is likely.

I think that the question of intuition is really a smaller part of a
much larger question -- the question of how conscious thoughts of all
kinds arise in our brains.
Some time ago (and I wish I remembered the details better than I do)
experiments were conducted which indicated that decisions were being
made in our brains a fraction of a second before we were aware that we
had actually made the decision.
That, in itself, is not odd. It simply means that conscious thoughts
arise as a result of pre-conscious (if one doesn't like the term
sub-conscious) mechanisms of which the so-called conscious mind is
unaware. Clearly, it cannot be directly aware of those mechanisms of
thought, any more than the eye is capable of seeing itself.
If we really review the thought processes of our daily lives, most of
the decisions that we make are not arrived at analytically -- through a
process of conscious analysis. We just seem to do things -- almost
without thinking.
But, of course, we clearly are thinking -- because all decisions that
we make are the result of thought.
It's just that the majority of the thinking is occuring
pre-consciously.
But we don't think of the majority of those day-to-day decisions as
somehow "intuitive."
We tend, if anything, to think of them as, perhaps, habitual -- which,
after all, tends to mean -- "done without thought" -- just as
"intuitive" means an idea that's arrived at without thought.
But in neither case, of course, is there really no thought. I can
strike your knee and you can kick with no thought involved. That's just
a reflex. But you can't drive your car from your home to your office
with no thought involved. You have to be able to see, to take in
information about other vehicles, about where your car is, about where
stop signs and stop lights are. It simply isn't possible to do that "by
reflex." It is a thing that requires thought.
And yet for people who drive to work every day, it's not uncommon to
get behind the wheel of the car and then, twenty minutes later, to
suddenly find yourself in front of your office -- your conscious mind
has drifted off -- thought about other things. But somehow or other,
some part of your brain has, in fact, been paying attention to the
road, the cars, the lights, and has driven you to work.
You remember Susan Smith, the woman who murdered her children? I
remember very vividly, when everybody still believed that they'd been
kidnapped, and there was a news conference and she was talking about
the abduction and I remember her saying as the presumed abductor drove
off with her kids in the car how she got up and yelled after her kids
in the car, "I love you!" -- instantly, it couldn't have been more than
a fraction of a second, I thought -- she's lying.
Now, thinking back, I might say, analytically, what it was about those
words that led me to that conclusion. But in that quarter of a second,
there wasn't time for any conscious analysis -- for me to say, to
myself, "That's not an appropriate behavior, an appropriate reaction
for a mother who's watching somebody driving off with her kids."
Clearly, there was some kind of evaluative process going on somewhere
in my head -- as I imagine, somewhere in our heads, we evaluate every
statement that we hear everybody say all the time -- and that process
reacted virtually instantly at those words and hit the buzzer.
Now -- was that intuition?
Who knows? As far as I'm concerned, it's simply just part of the way
that my mind, and every other mind works.
There are probably a lot of people -- detectives, for instance -- who
are a lot better at telling when people are lying than I am. Their
buzzers probably go off more often and more reliably than mine. And
others who listened to what she was saying and thought, "Oh, that poor
girl."
Our pre-conscious brains are still, ultimately, prone to the same
garbage in/garbage out limitations as our conscious brains are.
If you're an Einstein, the "intuitions" are likely to be of a pretty
high calibre. But as a writer (and I think that it's probably true of
anybody who depends on those kinds of "flashes" for their work) a lot
of time you get those brilliant ideas, and you think it's going to be
gold, and then after a few hours or a few days you realize that your
brilliant vein has sort of petered out -- that it wasn't so great after
all. Another dud.
It's always a two-pronged process. You get the brilliant flash -- great
idea. Then you actually have to see if it really works.
NMS
.
User: "Lester Zick"

Title: Re: Counter Intuitive Intuition 11 Oct 2006 05:07:07 PM
If you don't mind I think I'll frontpost this reply since your
comments seem to be in essay form.
For the last several years I argued these kinds of issues fairly
unsuccessfully on comp.ai.philosophy where opinions ranged from the
computationalist model point of view to deterministic psychological
behaviorism.
My own perspective is somewhat different that all thought processes
are deterministic but in mechanically tautological terms. In other
words we are in effect constantly saying "A, not A" "not A, B" "B, not
B" and so forth looking for some accidental resolution of the terms
involved. So in effect we intuitively process differential information
which remains submerged in our subconscious unless and until some
resolution occurs.
Conventional science and math are no different. The only non trivial
distinction is that we constantly build tautological grids of
information which can be used to shortcut mechanically analogical
tautological processes. And I think my purpose in originally posting
this thread was to highlight the fact that in purely mechanical terms
there is no such thing as counter intuition either in science or math
except insofar as one intuition contradicts another.
On 11 Oct 2006 09:35:33 -0700,
wrote:


roastfreesteel@yahoo.com wrote:

tadchem wrote:

Aristotle relied on intuition heavily when he claimed that heavier
objects fall faster than lighter ones, so we know that 'intuition' is a
fallible technique.
Tom Davidson
Richmond, VA


That's a very weak argument. But your point is clear and I can imagine
a better argument to make that point. However it still leaves open the
issue of why some people are vastly better at deciding which empirical
tests to make. It is not random and it does not depend on what current
science indicates is likely.


I think that the question of intuition is really a smaller part of a
much larger question -- the question of how conscious thoughts of all
kinds arise in our brains.

Some time ago (and I wish I remembered the details better than I do)
experiments were conducted which indicated that decisions were being
made in our brains a fraction of a second before we were aware that we
had actually made the decision.

That, in itself, is not odd. It simply means that conscious thoughts
arise as a result of pre-conscious (if one doesn't like the term
sub-conscious) mechanisms of which the so-called conscious mind is
unaware. Clearly, it cannot be directly aware of those mechanisms of
thought, any more than the eye is capable of seeing itself.

If we really review the thought processes of our daily lives, most of
the decisions that we make are not arrived at analytically -- through a
process of conscious analysis. We just seem to do things -- almost
without thinking.

But, of course, we clearly are thinking -- because all decisions that
we make are the result of thought.

It's just that the majority of the thinking is occuring
pre-consciously.

But we don't think of the majority of those day-to-day decisions as
somehow "intuitive."

We tend, if anything, to think of them as, perhaps, habitual -- which,
after all, tends to mean -- "done without thought" -- just as
"intuitive" means an idea that's arrived at without thought.

But in neither case, of course, is there really no thought. I can
strike your knee and you can kick with no thought involved. That's just
a reflex. But you can't drive your car from your home to your office
with no thought involved. You have to be able to see, to take in
information about other vehicles, about where your car is, about where
stop signs and stop lights are. It simply isn't possible to do that "by
reflex." It is a thing that requires thought.

And yet for people who drive to work every day, it's not uncommon to
get behind the wheel of the car and then, twenty minutes later, to
suddenly find yourself in front of your office -- your conscious mind
has drifted off -- thought about other things. But somehow or other,
some part of your brain has, in fact, been paying attention to the
road, the cars, the lights, and has driven you to work.

You remember Susan Smith, the woman who murdered her children? I
remember very vividly, when everybody still believed that they'd been
kidnapped, and there was a news conference and she was talking about
the abduction and I remember her saying as the presumed abductor drove
off with her kids in the car how she got up and yelled after her kids
in the car, "I love you!" -- instantly, it couldn't have been more than
a fraction of a second, I thought -- she's lying.

Now, thinking back, I might say, analytically, what it was about those
words that led me to that conclusion. But in that quarter of a second,
there wasn't time for any conscious analysis -- for me to say, to
myself, "That's not an appropriate behavior, an appropriate reaction
for a mother who's watching somebody driving off with her kids."

Clearly, there was some kind of evaluative process going on somewhere
in my head -- as I imagine, somewhere in our heads, we evaluate every
statement that we hear everybody say all the time -- and that process
reacted virtually instantly at those words and hit the buzzer.

Now -- was that intuition?

Who knows? As far as I'm concerned, it's simply just part of the way
that my mind, and every other mind works.

There are probably a lot of people -- detectives, for instance -- who
are a lot better at telling when people are lying than I am. Their
buzzers probably go off more often and more reliably than mine. And
others who listened to what she was saying and thought, "Oh, that poor
girl."

Our pre-conscious brains are still, ultimately, prone to the same
garbage in/garbage out limitations as our conscious brains are.

If you're an Einstein, the "intuitions" are likely to be of a pretty
high calibre. But as a writer (and I think that it's probably true of
anybody who depends on those kinds of "flashes" for their work) a lot
of time you get those brilliant ideas, and you think it's going to be
gold, and then after a few hours or a few days you realize that your
brilliant vein has sort of petered out -- that it wasn't so great after
all. Another dud.

It's always a two-pronged process. You get the brilliant flash -- great
idea. Then you actually have to see if it really works.

NMS

~v~~
.


User: "Lester Zick"

Title: Re: Counter Intuitive Intuition 07 Oct 2006 01:53:23 PM
On 7 Oct 2006 03:23:24 -0700,
wrote:


tadchem wrote:

Aristotle relied on intuition heavily when he claimed that heavier
objects fall faster than lighter ones, so we know that 'intuition' is a
fallible technique.
Tom Davidson
Richmond, VA


That's a very weak argument.

Thank you. The argument also overlooks the considerable mathematical
development and sophistication Aristotle never had access to.It's much
easier to accept Aristotle's reliance on rationalist speculation than
contemporary reliance on counter intuitional approaches. But even
modern advanced mathematical techniques cannot salvage erroneous
intuitions.

But your point is clear and I can imagine
a better argument to make that point. However it still leaves open the
issue of why some people are vastly better at deciding which empirical
tests to make. It is not random and it does not depend on what current
science indicates is likely. See Einstein and the time it took for
acceptance. That there are people who overestimate their intuitive
abilities (not to speak of idiots) does not mean that intuition is
something other that unconsious deduction and induction.

Remarkably accurate.

Some people
have the ability to nearly instantaneously come up with theories that
turn out to be true vastly more often then chance. HOw do they do
this?

Educated guessing is vastly superior to uneducated guessing. Doesn't
however mean the results aren't guesses.

It is standard theory out there that indigenous people's empirically -
not with any great statistical record keeping - tested plants in their
areas and when they found one that seemed to help with certain ailments
they kept using it. This random eating and seeing what happens is
absurd and does not fit their own accounts of how they learned about
their medicinal plants. (a reading of ethnobotony can give you a sense
of the various ways they describe this process, but these can generally
be translated into Western culture as 'they used intuitive techniques).

The way I read this comment "intuition" is unsystematic, which I agree
with, but I can't even imagine what this says about counter intuition,
whatever that may be taken to mean.

Rationalists find this very hard to swallow, never noticing their own
reliance on intuition adn the strong, repeatable intuition of the
scientists and other thinkers they admire.

Personally I consider that Aristotelian rationalism based on
syllogistic inference never resolved the issue of truth in general
terms and was consequently forced to rely on exactly the same
originary intuitional processes denounced in other forms of
speculative seminal thinking.
~v~~
.




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