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Math, Path & Analogies

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> Bob quotes: " The Subject or Self occupies a position

> analogous to that of the parameter in mathematics. "

>

> Hey, numeric cowboy, one can question what

> is the use of analogies? Do they clarify, or

> simply fire-up the imagination?

>

> Mixing mathematical metaphors and Nonduality

> to clarify self or Consciousness is very

> misleading. True, both rest on seemingly

> unproven axions, but math's axions are tested

> by their ability to solve problems, and give

> verifiable, replicable results when used as

> the basis of logical math operations. On the other

> hand, the axions that there is a Self, and

> the axion that there is no Self (anatta)

> lead at best to subjective states, never to

> verifiable empirical results. And trying to prove

> them with analogies, metaphors, similes, parables

> and examples proves nothing, and the simple-minded

> take those language devices literally as

> expressions of truth.

>

> Pete

>

> Hey Peter...please as the Great mathematician that I can see you

must be..what the hell is an axioN???? Can't be a misspelling, you

use the term several times here ( I won't count them as I will now

defer to you as the math whiz.If ever a wiz there was). Waiting for

the Enlightenment,

I remain yours truly,

bob

 

P: Sorry, it was a misspelling of the word axiom ( a postulate

taken on faith as self evident) which my spell-check didn't

catch because the word axion is the name of a hypothetical

particle of low mass and energy. And my math is very limited,

I can only count to 21 using fingers, toes, and.. :)) But to detect

mixing apples and oranges and calling it guacamole, I don't

need to be Newton.

 

 

 

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> but math's axions are tested

> by their ability to solve problems, and give

> verifiable, replicable results when used as

> the basis of logical math operations.

 

Mathematical axioms are not really tested.

 

It is " models " , not axioms that are tested.

[A model is a " system " defined by its axioms.]

The model itself, though, is not strictly what

is tested, but the model *as per a defined mapping*

to some problem domain wherein the predictability

of the model can be evaluated.

 

So what is tested is a model + a particular defined

mapping.

 

But what is a model + a particular defined mapping?

 

It is, in essence, a formalized *analogy*.

 

Note that such a model + mapping is not actually

shown -- ever -- to be *true*. It is only shown

to be *useful* in a certain particular way.

 

In mathematics the only things that are *true* in

any absolute sense are tautologies. They do not

say anything whatsoever about the nature of reality.

 

 

Bill

 

 

 

Nisargadatta , Pete S <pedsie5 wrote:

>

> Bob quotes: " The Subject or Self occupies a position

> analogous to that of the parameter in mathematics. "

>

> Hey, numeric cowboy, one can question what

> is the use of analogies? Do they clarify, or

> simply fire-up the imagination?

>

> Mixing mathematical metaphors and Nonduality

> to clarify self or Consciousness is very

> misleading. True, both rest on seemingly

> unproven axions, but math's axions are tested

> by their ability to solve problems, and give

> verifiable, replicable results when used as

> the basis of logical math operations. On the other

> hand, the axions that there is a Self, and

> the axion that there is no Self (anatta)

> lead at best to subjective states, never to

> verifiable empirical results. And trying to prove

> them with analogies, metaphors, similes, parables

> and examples proves nothing, and the simple-minded

> take those language devices literally as

> expressions of truth.

>

> Pete

>

>

>

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Nisargadatta , " billrishel " <illusyn wrote:

>

> > but math's axions are tested

> > by their ability to solve problems, and give

> > verifiable, replicable results when used as

> > the basis of logical math operations.

>

> Mathematical axioms are not really tested.

>

> It is " models " , not axioms that are tested.

> [A model is a " system " defined by its axioms.]

> The model itself, though, is not strictly what

> is tested, but the model *as per a defined mapping*

> to some problem domain wherein the predictability

> of the model can be evaluated.

>

> So what is tested is a model + a particular defined

> mapping.

>

> But what is a model + a particular defined mapping?

>

> It is, in essence, a formalized *analogy*.

>

> Note that such a model + mapping is not actually

> shown -- ever -- to be *true*. It is only shown

> to be *useful* in a certain particular way.

>

> In mathematics the only things that are *true* in

> any absolute sense are tautologies. They do not

> say anything whatsoever about the nature of reality.

>

>

> Bill

>

> You said it Bill, right on!

Loving the Laws,

I am/am not bob( a truism of sorts LOL)

>

> Nisargadatta , Pete S <pedsie5@> wrote:

> >

> > Bob quotes: " The Subject or Self occupies a position

> > analogous to that of the parameter in mathematics. "

> >

> > Hey, numeric cowboy, one can question what

> > is the use of analogies? Do they clarify, or

> > simply fire-up the imagination?

> >

> > Mixing mathematical metaphors and Nonduality

> > to clarify self or Consciousness is very

> > misleading. True, both rest on seemingly

> > unproven axions, but math's axions are tested

> > by their ability to solve problems, and give

> > verifiable, replicable results when used as

> > the basis of logical math operations. On the other

> > hand, the axions that there is a Self, and

> > the axion that there is no Self (anatta)

> > lead at best to subjective states, never to

> > verifiable empirical results. And trying to prove

> > them with analogies, metaphors, similes, parables

> > and examples proves nothing, and the simple-minded

> > take those language devices literally as

> > expressions of truth.

> >

> > Pete

> >

> >

> >

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" tautology " gets one 43 points on the enlightenment scrabble board, you guys are

doing really good! epistemology will be the winner.

-

Bob N.

Nisargadatta

Tuesday, March 07, 2006 12:20 PM

Re: Math, Path & Analogies

 

 

Nisargadatta , " billrishel " <illusyn wrote:

>

> > but math's axions are tested

> > by their ability to solve problems, and give

> > verifiable, replicable results when used as

> > the basis of logical math operations.

>

> Mathematical axioms are not really tested.

>

> It is " models " , not axioms that are tested.

> [A model is a " system " defined by its axioms.]

> The model itself, though, is not strictly what

> is tested, but the model *as per a defined mapping*

> to some problem domain wherein the predictability

> of the model can be evaluated.

>

> So what is tested is a model + a particular defined

> mapping.

>

> But what is a model + a particular defined mapping?

>

> It is, in essence, a formalized *analogy*.

>

> Note that such a model + mapping is not actually

> shown -- ever -- to be *true*. It is only shown

> to be *useful* in a certain particular way.

>

> In mathematics the only things that are *true* in

> any absolute sense are tautologies. They do not

> say anything whatsoever about the nature of reality.

>

>

> Bill

>

> You said it Bill, right on!

Loving the Laws,

I am/am not bob( a truism of sorts LOL)

>

> Nisargadatta , Pete S <pedsie5@> wrote:

> >

> > Bob quotes: " The Subject or Self occupies a position

> > analogous to that of the parameter in mathematics. "

> >

> > Hey, numeric cowboy, one can question what

> > is the use of analogies? Do they clarify, or

> > simply fire-up the imagination?

> >

> > Mixing mathematical metaphors and Nonduality

> > to clarify self or Consciousness is very

> > misleading. True, both rest on seemingly

> > unproven axions, but math's axions are tested

> > by their ability to solve problems, and give

> > verifiable, replicable results when used as

> > the basis of logical math operations. On the other

> > hand, the axions that there is a Self, and

> > the axion that there is no Self (anatta)

> > lead at best to subjective states, never to

> > verifiable empirical results. And trying to prove

> > them with analogies, metaphors, similes, parables

> > and examples proves nothing, and the simple-minded

> > take those language devices literally as

> > expressions of truth.

> >

> > Pete

> >

> >

> >

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" tautology " gets one 43 points on the enlightenment

scrabble board, you guys are doing really good!

epistemology will be the winner.

~~~

Excuse me Fred, but did you say something?

I can't seem to find any comment in what you

posted above.

 

In other words, what is the point you were making

with your remark?

 

Bill

 

 

Nisargadatta , " Fred " <thejman wrote:

>

> " tautology " gets one 43 points on the enlightenment scrabble board,

you guys are doing really good! epistemology will be the winner.

> -

> Bob N.

> Nisargadatta

> Tuesday, March 07, 2006 12:20 PM

> Re: Math, Path & Analogies

>

>

> Nisargadatta , " billrishel " <illusyn@> wrote:

> >

> > > but math's axions are tested

> > > by their ability to solve problems, and give

> > > verifiable, replicable results when used as

> > > the basis of logical math operations.

> >

> > Mathematical axioms are not really tested.

> >

> > It is " models " , not axioms that are tested.

> > [A model is a " system " defined by its axioms.]

> > The model itself, though, is not strictly what

> > is tested, but the model *as per a defined mapping*

> > to some problem domain wherein the predictability

> > of the model can be evaluated.

> >

> > So what is tested is a model + a particular defined

> > mapping.

> >

> > But what is a model + a particular defined mapping?

> >

> > It is, in essence, a formalized *analogy*.

> >

> > Note that such a model + mapping is not actually

> > shown -- ever -- to be *true*. It is only shown

> > to be *useful* in a certain particular way.

> >

> > In mathematics the only things that are *true* in

> > any absolute sense are tautologies. They do not

> > say anything whatsoever about the nature of reality.

> >

> >

> > Bill

> >

> > You said it Bill, right on!

> Loving the Laws,

> I am/am not bob( a truism of sorts LOL)

> >

> > Nisargadatta , Pete S <pedsie5@> wrote:

> > >

> > > Bob quotes: " The Subject or Self occupies a position

> > > analogous to that of the parameter in mathematics. "

> > >

> > > Hey, numeric cowboy, one can question what

> > > is the use of analogies? Do they clarify, or

> > > simply fire-up the imagination?

> > >

> > > Mixing mathematical metaphors and Nonduality

> > > to clarify self or Consciousness is very

> > > misleading. True, both rest on seemingly

> > > unproven axions, but math's axions are tested

> > > by their ability to solve problems, and give

> > > verifiable, replicable results when used as

> > > the basis of logical math operations. On the other

> > > hand, the axions that there is a Self, and

> > > the axion that there is no Self (anatta)

> > > lead at best to subjective states, never to

> > > verifiable empirical results. And trying to prove

> > > them with analogies, metaphors, similes, parables

> > > and examples proves nothing, and the simple-minded

> > > take those language devices literally as

> > > expressions of truth.

> > >

> > > Pete

> > >

> > >

> > >

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was making the same point that you were with your remarks, what point were you

making?

-

billrishel

Nisargadatta

Tuesday, March 07, 2006 1:39 PM

Re: Math, Path & Analogies

 

 

" tautology " gets one 43 points on the enlightenment

scrabble board, you guys are doing really good!

epistemology will be the winner.

~~~

Excuse me Fred, but did you say something?

I can't seem to find any comment in what you

posted above.

 

In other words, what is the point you were making

with your remark?

 

Bill

 

 

Nisargadatta , " Fred " <thejman wrote:

>

> " tautology " gets one 43 points on the enlightenment scrabble board,

you guys are doing really good! epistemology will be the winner.

> -

> Bob N.

> Nisargadatta

> Tuesday, March 07, 2006 12:20 PM

> Re: Math, Path & Analogies

>

>

> Nisargadatta , " billrishel " <illusyn@> wrote:

> >

> > > but math's axions are tested

> > > by their ability to solve problems, and give

> > > verifiable, replicable results when used as

> > > the basis of logical math operations.

> >

> > Mathematical axioms are not really tested.

> >

> > It is " models " , not axioms that are tested.

> > [A model is a " system " defined by its axioms.]

> > The model itself, though, is not strictly what

> > is tested, but the model *as per a defined mapping*

> > to some problem domain wherein the predictability

> > of the model can be evaluated.

> >

> > So what is tested is a model + a particular defined

> > mapping.

> >

> > But what is a model + a particular defined mapping?

> >

> > It is, in essence, a formalized *analogy*.

> >

> > Note that such a model + mapping is not actually

> > shown -- ever -- to be *true*. It is only shown

> > to be *useful* in a certain particular way.

> >

> > In mathematics the only things that are *true* in

> > any absolute sense are tautologies. They do not

> > say anything whatsoever about the nature of reality.

> >

> >

> > Bill

> >

> > You said it Bill, right on!

> Loving the Laws,

> I am/am not bob( a truism of sorts LOL)

> >

> > Nisargadatta , Pete S <pedsie5@> wrote:

> > >

> > > Bob quotes: " The Subject or Self occupies a position

> > > analogous to that of the parameter in mathematics. "

> > >

> > > Hey, numeric cowboy, one can question what

> > > is the use of analogies? Do they clarify, or

> > > simply fire-up the imagination?

> > >

> > > Mixing mathematical metaphors and Nonduality

> > > to clarify self or Consciousness is very

> > > misleading. True, both rest on seemingly

> > > unproven axions, but math's axions are tested

> > > by their ability to solve problems, and give

> > > verifiable, replicable results when used as

> > > the basis of logical math operations. On the other

> > > hand, the axions that there is a Self, and

> > > the axion that there is no Self (anatta)

> > > lead at best to subjective states, never to

> > > verifiable empirical results. And trying to prove

> > > them with analogies, metaphors, similes, parables

> > > and examples proves nothing, and the simple-minded

> > > take those language devices literally as

> > > expressions of truth.

> > >

> > > Pete

> > >

> > >

> > >

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> was making the same point that you were with your remarks, what

> point were you making?

If it is the same as what your were making,

why do you need to ask?

 

 

 

 

> -

> billrishel

> Nisargadatta

> Tuesday, March 07, 2006 1:39 PM

> Re: Math, Path & Analogies

>

>

> " tautology " gets one 43 points on the enlightenment

> scrabble board, you guys are doing really good!

> epistemology will be the winner.

> ~~~

> Excuse me Fred, but did you say something?

> I can't seem to find any comment in what you

> posted above.

>

> In other words, what is the point you were making

> with your remark?

>

> Bill

>

>

> Nisargadatta , " Fred " <thejman@> wrote:

> >

> > " tautology " gets one 43 points on the enlightenment scrabble board,

> you guys are doing really good! epistemology will be the winner.

> > -

 

> > Bob N.

> > Nisargadatta

> > Tuesday, March 07, 2006 12:20 PM

> > Re: Math, Path & Analogies

> >

> >

> > Nisargadatta , " billrishel " <illusyn@>

wrote:

> > >

> > > > but math's axions are tested

> > > > by their ability to solve problems, and give

> > > > verifiable, replicable results when used as

> > > > the basis of logical math operations.

> > >

> > > Mathematical axioms are not really tested.

> > >

> > > It is " models " , not axioms that are tested.

> > > [A model is a " system " defined by its axioms.]

> > > The model itself, though, is not strictly what

> > > is tested, but the model *as per a defined mapping*

> > > to some problem domain wherein the predictability

> > > of the model can be evaluated.

> > >

> > > So what is tested is a model + a particular defined

> > > mapping.

> > >

> > > But what is a model + a particular defined mapping?

> > >

> > > It is, in essence, a formalized *analogy*.

> > >

> > > Note that such a model + mapping is not actually

> > > shown -- ever -- to be *true*. It is only shown

> > > to be *useful* in a certain particular way.

> > >

> > > In mathematics the only things that are *true* in

> > > any absolute sense are tautologies. They do not

> > > say anything whatsoever about the nature of reality.

> > >

> > >

> > > Bill

> > >

> > > You said it Bill, right on!

> > Loving the Laws,

> > I am/am not bob( a truism of sorts LOL)

> > >

> > > Nisargadatta , Pete S <pedsie5@> wrote:

> > > >

> > > > Bob quotes: " The Subject or Self occupies a position

> > > > analogous to that of the parameter in mathematics. "

> > > >

> > > > Hey, numeric cowboy, one can question what

> > > > is the use of analogies? Do they clarify, or

> > > > simply fire-up the imagination?

> > > >

> > > > Mixing mathematical metaphors and Nonduality

> > > > to clarify self or Consciousness is very

> > > > misleading. True, both rest on seemingly

> > > > unproven axions, but math's axions are tested

> > > > by their ability to solve problems, and give

> > > > verifiable, replicable results when used as

> > > > the basis of logical math operations. On the other

> > > > hand, the axions that there is a Self, and

> > > > the axion that there is no Self (anatta)

> > > > lead at best to subjective states, never to

> > > > verifiable empirical results. And trying to prove

> > > > them with analogies, metaphors, similes, parables

> > > > and examples proves nothing, and the simple-minded

> > > > take those language devices literally as

> > > > expressions of truth.

> > > >

> > > > Pete

> > > >

> > > >

> > > >

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exactly so, what you heard wasn't what was said

-

billrishel

Nisargadatta

Tuesday, March 07, 2006 4:28 PM

Re: Math, Path & Analogies

 

 

 

> was making the same point that you were with your remarks, what

> point were you making?

If it is the same as what your were making,

why do you need to ask?

 

 

 

 

> -

> billrishel

> Nisargadatta

> Tuesday, March 07, 2006 1:39 PM

> Re: Math, Path & Analogies

>

>

> " tautology " gets one 43 points on the enlightenment

> scrabble board, you guys are doing really good!

> epistemology will be the winner.

> ~~~

> Excuse me Fred, but did you say something?

> I can't seem to find any comment in what you

> posted above.

>

> In other words, what is the point you were making

> with your remark?

>

> Bill

>

>

> Nisargadatta , " Fred " <thejman@> wrote:

> >

> > " tautology " gets one 43 points on the enlightenment scrabble board,

> you guys are doing really good! epistemology will be the winner.

> > -

 

> > Bob N.

> > Nisargadatta

> > Tuesday, March 07, 2006 12:20 PM

> > Re: Math, Path & Analogies

> >

> >

> > Nisargadatta , " billrishel " <illusyn@>

wrote:

> > >

> > > > but math's axions are tested

> > > > by their ability to solve problems, and give

> > > > verifiable, replicable results when used as

> > > > the basis of logical math operations.

> > >

> > > Mathematical axioms are not really tested.

> > >

> > > It is " models " , not axioms that are tested.

> > > [A model is a " system " defined by its axioms.]

> > > The model itself, though, is not strictly what

> > > is tested, but the model *as per a defined mapping*

> > > to some problem domain wherein the predictability

> > > of the model can be evaluated.

> > >

> > > So what is tested is a model + a particular defined

> > > mapping.

> > >

> > > But what is a model + a particular defined mapping?

> > >

> > > It is, in essence, a formalized *analogy*.

> > >

> > > Note that such a model + mapping is not actually

> > > shown -- ever -- to be *true*. It is only shown

> > > to be *useful* in a certain particular way.

> > >

> > > In mathematics the only things that are *true* in

> > > any absolute sense are tautologies. They do not

> > > say anything whatsoever about the nature of reality.

> > >

> > >

> > > Bill

> > >

> > > You said it Bill, right on!

> > Loving the Laws,

> > I am/am not bob( a truism of sorts LOL)

> > >

> > > Nisargadatta , Pete S <pedsie5@> wrote:

> > > >

> > > > Bob quotes: " The Subject or Self occupies a position

> > > > analogous to that of the parameter in mathematics. "

> > > >

> > > > Hey, numeric cowboy, one can question what

> > > > is the use of analogies? Do they clarify, or

> > > > simply fire-up the imagination?

> > > >

> > > > Mixing mathematical metaphors and Nonduality

> > > > to clarify self or Consciousness is very

> > > > misleading. True, both rest on seemingly

> > > > unproven axions, but math's axions are tested

> > > > by their ability to solve problems, and give

> > > > verifiable, replicable results when used as

> > > > the basis of logical math operations. On the other

> > > > hand, the axions that there is a Self, and

> > > > the axion that there is no Self (anatta)

> > > > lead at best to subjective states, never to

> > > > verifiable empirical results. And trying to prove

> > > > them with analogies, metaphors, similes, parables

> > > > and examples proves nothing, and the simple-minded

> > > > take those language devices literally as

> > > > expressions of truth.

> > > >

> > > > Pete

> > > >

> > > >

> > > >

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