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Post by Eugene 2.0 on Jan 21, 2022 17:41:18 GMT
Axioms – are either obvious or normative claims. You accept them without proof, but no axiom is guaranteed to work. An axiom is ambiguous.
Often, what is assumed as knowledge = theory
Mostly, people take theories = as theorems
A theorem = a logical inference from axioms
To know (firmly, trustworthy) = to be precise
To be precise = no count on luck
No count on luck = having no ambiguity
Axioms = are ambiguous
Axiomatic knowledge = is not fully knowledge
No full knowledge = no well work.
Is possible to get rid of axiomatic way?
I presume only intuition can offer a help here. How? Firstly, there are no axioms without intuition.
intuition + relevant symbols or words + context = an axiom
"I guess that..." + "...x=x..." + "...in math" = "the law of identity (in math)"
There's no way to escape "I guess that...", "I presume that...", "I reckon that...", etc, while "x=x" or "in math", or others can be changed easily to other ones:
"I guess that..." + "...P ←→ P..." + "...in logic" = "the law of identity (in logic)"
Unlike the intuition, the axioms can be eliminated.
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Post by xxxxxxxxx on Jan 23, 2022 23:14:05 GMT
Axioms – are either obvious or normative claims. You accept them without proof, but no axiom is guaranteed to work. An axiom is ambiguous. Often, what is assumed as knowledge = theory Mostly, people take theories = as theorems A theorem = a logical inference from axioms To know (firmly, trustworthy) = to be precise To be precise = no count on luck No count on luck = having no ambiguity Axioms = are ambiguous Axiomatic knowledge = is not fully knowledge No full knowledge = no well work. Is possible to get rid of axiomatic way? I presume only intuition can offer a help here. How? Firstly, there are no axioms without intuition. intuition + relevant symbols or words + context = an axiom "I guess that..." + "...x=x..." + "...in math" = "the law of identity (in math)" There's no way to escape "I guess that...", "I presume that...", "I reckon that...", etc, while "x=x" or "in math", or others can be changed easily to other ones: "I guess that..." + "...P ←→ P..." + "...in logic" = "the law of identity (in logic)" Unlike the intuition, the axioms can be eliminated. Intuition is thus an axiom..... |
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Post by Eugene 2.0 on Jan 24, 2022 8:16:07 GMT
Axioms – are either obvious or normative claims. You accept them without proof, but no axiom is guaranteed to work. An axiom is ambiguous. Often, what is assumed as knowledge = theory Mostly, people take theories = as theorems A theorem = a logical inference from axioms To know (firmly, trustworthy) = to be precise To be precise = no count on luck No count on luck = having no ambiguity Axioms = are ambiguous Axiomatic knowledge = is not fully knowledge No full knowledge = no well work. Is possible to get rid of axiomatic way? I presume only intuition can offer a help here. How? Firstly, there are no axioms without intuition. intuition + relevant symbols or words + context = an axiom "I guess that..." + "...x=x..." + "...in math" = "the law of identity (in math)" There's no way to escape "I guess that...", "I presume that...", "I reckon that...", etc, while "x=x" or "in math", or others can be changed easily to other ones: "I guess that..." + "...P ←→ P..." + "...in logic" = "the law of identity (in logic)" Unlike the intuition, the axioms can be eliminated. Intuition is thus an axiom..... Actually, you may be right at a point "the statement" (not "the word") claims, for instance, "there is an intuition" has a similar shape to an axiom. But make a note, I didn't claim the intuition existed. I believe if the intuition exist it's hardly to try to grasp it. This rather to be an inner feeling, not the form or idea (which don't exist). |
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Post by xxxxxxxxx on Jan 24, 2022 23:18:56 GMT
Intuition is thus an axiom..... Actually, you may be right at a point "the statement" (not "the word") claims, for instance, "there is an intuition" has a similar shape to an axiom. But make a note, I didn't claim the intuition existed. I believe if the intuition exist it's hardly to try to grasp it. This rather to be an inner feeling, not the form or idea (which don't exist). This is intuitive thus an axiom. |
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Post by Eugene 2.0 on Jan 25, 2022 20:35:54 GMT
Actually, you may be right at a point "the statement" (not "the word") claims, for instance, "there is an intuition" has a similar shape to an axiom. But make a note, I didn't claim the intuition existed. I believe if the intuition exist it's hardly to try to grasp it. This rather to be an inner feeling, not the form or idea (which don't exist). This is intuitive thus an axiom. If it is axiom, it is not intuitive. The oxymoron. Or, I'd rather say it either it is an axiom, or it is an intuition. Intuition blocks logic. |
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Post by xxxxxxxxx on Jan 27, 2022 21:20:55 GMT
This is intuitive thus an axiom. If it is axiom, it is not intuitive. The oxymoron. Or, I'd rather say it either it is an axiom, or it is an intuition. Intuition blocks logic. If it is an axiom it is self evident, if it is self evident it is intuitive, if it is an axiom it is intuitive. |
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Post by Eugene 2.0 on Jan 28, 2022 9:01:29 GMT
If it is axiom, it is not intuitive. The oxymoron. Or, I'd rather say it either it is an axiom, or it is an intuition. Intuition blocks logic. If it is an axiom it is self evident, if it is self evident it is intuitive, if it is an axiom it is intuitive. The self evident is the evidence of oneself, hence the researching of the first person, therefore it's not evident, so it's wrong, and if it's wrong it's bad, and if it's bad, then it's better keep it away, while the intuition is inner. |
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Post by xxxxxxxxx on Feb 2, 2022 21:28:09 GMT
If it is an axiom it is self evident, if it is self evident it is intuitive, if it is an axiom it is intuitive. The self evident is the evidence of oneself, hence the researching of the first person, therefore it's not evident, so it's wrong, and if it's wrong it's bad, and if it's bad, then it's better keep it away, while the intuition is inner. Evidence is intuitive as it is grounded in accepting a proof based off of said axioms resulting in a feeling of order and precision. Self evidence requires intuition as accepting something as self evident requires a feeling of not having to go any further in definition. Evidence is a feeling of completeness in what is observed. |
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