Bruno Marchal wrote:
At 17:50 05/06/04 -0700, George Levy wrote:

Let's me see if I can convince you to bridge the gap and maybe take the relative formulation as a starting point. Like Socrates, let me start with one question. How can you possibly know to begin with this particular assumption:

>> I take as objective truth arithmetical truth, and as third person objective communicable truth
>> the provable arithmetical propositions like "1+1=2", "Prime(17)", or "the machine number i
>> (in some enumeration) does not stop on input number j", this + Church Thesis + the "yes doctor"
>> act of faith is what I mean by comp.


Perhaps we have a problem of vocabulary. I generally put objectivity and relativity
on the same par. The third person view. And I consider subjectivity and absoluteness
on the same par: the first person view.

I don't understand. To give you an objective response you force me to look up the dictionary:

Objectivity: the ability to express or deal with facts or conditions as perceived without without distortion by personal feelings, prejudices or interpretationsthe ability to observe independetly of one's own mental state.

Subjectivity: [the ability to perceive a reality as] related to or determined by the mind as the subject of experience; the ability to ... identify by means of one's perception of one's own states and processes...rather than as independent of mind.

Relativity: the state of being dependent for existence on or determined in nature, value, or quality by relation to something else.

Absolut[ism]: [the quality of ] being self sufficient and independent for external references or relationships

Therefore, subjectivity and objectivity are opposite, relativity and absolutism are opposite.
A first person perception is a subjective or relative experience.
A third person perception is an objective or absolute experience.

So, as a scientist (by which I mean "someone willing to be understand as such"),
although I know my initial data are all subjective and incorrigible---absolute, I can only
propose "theories" to my fellows on this planet.
You have moved to a meta level: how do you deal with being a scientist. The paradox is that your research as a scientists should not be restricted by your need for communicating with other scientists. It's like Einstein worrying that his communication of the relativity theory would be corrupted by his relative motion with other scientists.  We can assume for the time being that our frames of reference are sufficiently close that we can pretend to talk objectively about the first person or more precisely, that our relative talk about the first person will not be corrupted by our slightly different frames of reference.


Now all theories come from and are ultimately addressed to first person.
So, when I propose an axiom, like "x + 0 = x", I can only hope it makes (absolute) sense.
OK here we may have encountered the vocabulary problem. I would say it makes relative sense. As a proof, suppose my mental states are such that I interpret + as x. Then it would make sense to me that x+0 = 0.

But I can only
communicate such relative objective statements. This is the price of science imo.

Now, could you reassure me: do you agree with proposition like "x + 0 = 0", or prime(17)?
I guess and hope so.
As I said, depending on the states of my mind, I may not agree with this propostion,. I could interpret "or" as "and", and then the proposition would be false.

Obviously the "yes doctor" proposition is more demanding, and that is
why ultimately I eliminate it methodologically by interviewing a sound  universal Turing
machine instead of "grandmother", but such an elimination is only "strategical". One of my
goal is to illustrate that although the first person discourse is unscientific,
psychologists would not agree with that

by its very nature,
we still can, by giving genuine definitions and hypotheses build a pure third person discourse,
which can be scientific (that is: modest relative and uncertain) *on* first person discourses and views.
Does that make sense?

OK the discourse must be third person, we have no choice, but the content of the discourse must be first person.

Ah! About the gray hair problem, I think it is always the same problem, some lack
of knowledge in the field of logic. You are not the only one (in the list and elsewhere),
let us think what to do about that.
hair dye?

George Levy

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