At any specific point in time both knowledge bases contain a specific fixed constant number of relations between finite strings.Skepdick wrote: ↑Thu Aug 15, 2019 12:45 amYour distinctions are useless without a classification function.PeteOlcott wrote: ↑Thu Aug 15, 2019 12:37 am You are disrespectfully not paying attention to the distinctions that I have carefully outlined.
Which category does the statement "The cardinality of general knowledge is N" belong to?
Which category does the statement "The cardinality of discourse knowledge is M" belong to?
N and M are NOT constants. English is pass-by-value not pass-by-reference.
The truth-value of the sentence is a function of the system's cardinality.
When the cardinality changes. The truth-value changes with it.
Conceptual Truth can be understood as math
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PeteOlcott
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Re: Truth can be understood as math
Re: Truth can be understood as math
Pete. The statement "The cardinality of the knowledge-base is N" is knowledge. Therefore it needs to be part of the knowledge base.PeteOlcott wrote: ↑Thu Aug 15, 2019 1:29 am At any specific point in time both knowledge bases contain a specific fixed constant number of relations between finite strings.
The moment you add the statement to your knowledge-base, the cardinality of your knowledge-base increments.
Rendering the statement false.
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PeteOlcott
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Re: Truth can be understood as math
We have a formal system with exactly one axiom:
"5" [>] "3" which is true.
We add one more axiom
"8" [>] "3" which is true.
Oh No !!! Oh No !!! According to your nutty reasoning because we added one axiom to the system
"5" [>] "3" IS NOT TRUE ANY MORE !!!
Re: Truth can be understood as math
Again, agree.Skepdick wrote: ↑Thu Aug 15, 2019 1:33 amPete. The statement "The cardinality of the knowledge-base is N" is knowledge. Therefore it needs to be part of the knowledge base.PeteOlcott wrote: ↑Thu Aug 15, 2019 1:29 am At any specific point in time both knowledge bases contain a specific fixed constant number of relations between finite strings.
The moment you add the statement to your knowledge-base, the cardinality of your knowledge-base increments.
Rendering the statement false.
Re: Truth can be understood as math
Pete - surely you can't be this ignorant?PeteOlcott wrote: ↑Thu Aug 15, 2019 1:34 amWe have a formal system with exactly one axiom:
"5" [>] "3" which is true.
We add one more axiom
"8" [>] "3" which is true.
Oh No !!! Oh No !!! According to your nutty reasoning because we added one axiom to the system
"5" [>] "3" IS NOT TRUE ANY MORE !!!
Is the sentence "Today is the 15th of August" true?
This IS the liar's paradox! Can you not see that?
It boils down to WHEN you evaluate the meaning of "Today".
https://en.wikipedia.org/wiki/Evaluation_strategy
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PeteOlcott
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Re: Truth can be understood as math
I am sorry you must be dumber than a box of rocks if you think that theSkepdick wrote: ↑Thu Aug 15, 2019 1:36 amPete - surely you can't be this ignorant?PeteOlcott wrote: ↑Thu Aug 15, 2019 1:34 amWe have a formal system with exactly one axiom:
"5" [>] "3" which is true.
We add one more axiom
"8" [>] "3" which is true.
Oh No !!! Oh No !!! According to your nutty reasoning because we added one axiom to the system
"5" [>] "3" IS NOT TRUE ANY MORE !!!
Is the sentence "Today is the 15th of August" true?
This IS the liar's paradox!
sentence referred to is either GENERAL KNOWLEDGE or THE LIAR PARADOX.
Did you think that [General Knowledge] was knowledge about generals in the army?
A SENTENCE MUST BE SELF-CONTRADICTORY TO EVEN HAVE THE SAME STRUCTURE AS THE LIAR PARADOX
I SPENT 5000 HOURS ON THESE THINGS IN THE LAST 30 MONTHS.
Re: Truth can be understood as math
Fallacy, time spent on a project does not mean success or lack of.PeteOlcott wrote: ↑Thu Aug 15, 2019 1:42 amI am sorry you must be dumber than a box of rocks if you think that theSkepdick wrote: ↑Thu Aug 15, 2019 1:36 amPete - surely you can't be this ignorant?PeteOlcott wrote: ↑Thu Aug 15, 2019 1:34 am
We have a formal system with exactly one axiom:
"5" [>] "3" which is true.
We add one more axiom
"8" [>] "3" which is true.
Oh No !!! Oh No !!! According to your nutty reasoning because we added one axiom to the system
"5" [>] "3" IS NOT TRUE ANY MORE !!!
Is the sentence "Today is the 15th of August" true?
This IS the liar's paradox!
sentence referred to is either GENERAL KNOWLEDGE or THE LIAR PARADOX.
Did you think that [General Knowledge] was knowledge about generals in the army?
A SENTENCE MUST BE SELF-CONTRADICTORY TO EVEN HAVE THE SAME STRUCTURE AS THE LIAR PARADOX
I SPENT 5000 HOURS ON THESE THINGS IN THE LAST 30 MONTHS.
All axioms are paradoxical in nature because of their context, thus all statements are simultaneously true and false.
Re: Truth can be understood as math
A fool and his m̶o̶n̶e̶y̶ time are soon parted.PeteOlcott wrote: ↑Thu Aug 15, 2019 1:42 am A SENTENCE MUST BE SELF-CONTRADICTORY TO EVEN HAVE THE SAME STRUCTURE AS THE LIAR PARADOX
I SPENT 5000 HOURS ON THESE THINGS IN THE LAST 30 MONTHS.
The way you have "solved" the liar's paradox is by "forbidding" self-reference in your system.
Which is ironic, because by forbidding self-reference your knowledge-system cannot say anything about itself.
Your knowledge system doesn't know how much knowledge it contains. True or false?
Last edited by Skepdick on Thu Aug 15, 2019 1:59 am, edited 3 times in total.
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PeteOlcott
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Re: Truth can be understood as math
Reality is absurd...get over it. That is the one of many constants.
If you think you are going to put reality into a formal system...that is just ego. Reality is the system and at best can be described by paradox and form. Form is the only universal axiomatic base that allows paradox to exist without being self defeating.
Make a formal system using variations of this: ⊙
And you will get my attention because it is grounded in form with the fallacy of the Munchauseen trillema.
If you want to see an argument that will really screw with your head, look up the 13 prime directives thread...I got permanently banned from "applying" to a universities school of philosophy because I used it as a writing sample.
Banned from applying.
The "death of philosophy thread" and the "prime triad" also observes variations of these principles.
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PeteOlcott
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Re: Truth can be understood as math
None of any of that so that: [all statements are simultaneously true and false.]Eodnhoj7 wrote: ↑Thu Aug 15, 2019 2:06 amReality is absurd...get over it. That is the one of many constants.
If you think you are going to put reality into a formal system...that is just ego. Reality is the system and at best can be described by paradox and form. Form is the only universal axiomatic base that allows paradox to exist without being self defeating.
Re: Truth can be understood as math
Context makes all statements simultaneously true and false.PeteOlcott wrote: ↑Thu Aug 15, 2019 2:28 amNone of any of that so that: [all statements are simultaneously true and false.]Eodnhoj7 wrote: ↑Thu Aug 15, 2019 2:06 amReality is absurd...get over it. That is the one of many constants.
If you think you are going to put reality into a formal system...that is just ego. Reality is the system and at best can be described by paradox and form. Form is the only universal axiomatic base that allows paradox to exist without being self defeating.
A can be right in context C
A can be wrong in context D
A can be right and wrong as assumed.
You will not find the precision you are after.
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PeteOlcott
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Re: Truth can be understood as math
When we make the analytic versus synthetic distinction correctly the stipulated relationsEodnhoj7 wrote: ↑Thu Aug 15, 2019 2:40 amContext makes all statements simultaneously true and false.PeteOlcott wrote: ↑Thu Aug 15, 2019 2:28 amNone of any of that so that: [all statements are simultaneously true and false.]Eodnhoj7 wrote: ↑Thu Aug 15, 2019 2:06 am
Reality is absurd...get over it. That is the one of many constants.
If you think you are going to put reality into a formal system...that is just ego. Reality is the system and at best can be described by paradox and form. Form is the only universal axiomatic base that allows paradox to exist without being self defeating.
A can be right in context C
A can be wrong in context D
A can be right and wrong as assumed.
You will not find the precision you are after.
between finite strings IS ALL THERE IS TO THEIR TRUTH.
The analytic side of this distinction fully encompasses Tarski Undefineability and Gödel
1931 Incompleteness, thus making context and every aspect of physically manifest reality
OFF-TOPIC and OUT-OF-SCOPE.
Re: Truth can be understood as math
"If we make the distinction correctly" fundamentally requires us to analyze analysis. All analysis, as divergent in nature is grounded in a bare minimum quanity of 2 phenomenon being produced or a qualitative dualism.PeteOlcott wrote: ↑Thu Aug 15, 2019 3:02 amWhen we make the analytic versus synthetic distinction correctly the stipulated relationsEodnhoj7 wrote: ↑Thu Aug 15, 2019 2:40 amContext makes all statements simultaneously true and false.PeteOlcott wrote: ↑Thu Aug 15, 2019 2:28 am
None of any of that so that: [all statements are simultaneously true and false.]
A can be right in context C
A can be wrong in context D
A can be right and wrong as assumed.
You will not find the precision you are after.
between finite strings IS ALL THERE IS TO THEIR TRUTH.
The analytic side of this distinction fully encompasses Tarski Undefineability and Gödel
1931 Incompleteness, thus making context and every aspect of physically manifest reality
OFF-TOPIC and OUT-OF-SCOPE.
Analytic divergence: 1 -> (1(.5), 1(.5))
->
Synthetic convergence: (1(.5), 1(.5)) -> 2(1)
Synthesis can maintain the original truth while producing a variation.
Synthesis allows for maintenance and continuity.
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PeteOlcott
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Re: Truth can be understood as math
Still pretty nuts to me. It is like you are saying that the stipulatedEodnhoj7 wrote: ↑Thu Aug 15, 2019 5:04 am"If we make the distinction correctly" fundamentally requires us to analyze analysis. All analysis, as divergent in nature is grounded in a bare minimum quanity of 2 phenomenon being produced or a qualitative dualism.PeteOlcott wrote: ↑Thu Aug 15, 2019 3:02 amWhen we make the analytic versus synthetic distinction correctly the stipulated relations
between finite strings IS ALL THERE IS TO THEIR TRUTH.
The analytic side of this distinction fully encompasses Tarski Undefineability and Gödel
1931 Incompleteness, thus making context and every aspect of physically manifest reality
OFF-TOPIC and OUT-OF-SCOPE.
Analytic divergence: 1 -> (1(.5), 1(.5))
->
Synthetic convergence: (1(.5), 1(.5)) -> 2(1)
Synthesis can maintain the original truth while producing a variation.
Synthesis allows for maintenance and continuity.
relation between finite strings "5" [>] "3" is free to wiggle around if
it gets in the mood of divergence.