Talk:Abstraction (mathematics)

message: I have removed the following new section from the article:
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===General real world comparisons===
Abstract mathematics, also known as "mathematics without formulas" can be treated as a "geography without maps". As maps supply information about the places depicted in a very concentrated ways - they do not show the places. The same way the formulas give precise and capacitive descriptions, they do nt reveal pure facts. Formulas are treated as "the language of mathematics", but the soul of mathematics is a real world.
*Logically serial array of statements — is the most significant property of mathematics.
Arithmetics deals with numbers. IT also implies letters in algebraic formulas.
It is hard to state that something mathematically significant is hidden in integers and figures. So what does mathematic means?
If we imagine MATH as a single huge house, "we should imagine the scientists who built this house, naturally as brick layers. And this comparison is based on something. When a brick layer makes a wall, then every brick is firmly laid on the bricks which are laid before, and then are bound by a special cement. Mathematics reasons similarly every statement is supported by already proven statements. It is cemented by the laws of Logic.
*IN every building, getting lower and lower from the high floors to the foundation, finally we rich it. This fashion we can work with theorems. Earlier and later we get to the statements, truthfulness of which is accepted without any proofs. They are called AXIOMS and POSTULATES.
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My reasons for this removal are as follows:
*This section is not about the process of abstraction. It should be in a different article.
*It contains unencyclopaedic language e.g. "the soul of mathematics is a real world".
*It contains POV statements e.g. "Logically serial array of statements — is the most significant property of mathematics".
*It contains numerous grammatical errors e.g. "So what does mathematic means?", "finally we rich it", "This fashion we can work with theorems".
*It is unsourced.
If someone wants to tidy it up, add sources and put it in a different article, that's fine — but I don't think it belongs in this article. Gandalf61 10:42, 12 January 2007 (UTC)
replies: text: 12 years old 41.116.34.41 (talk) 17:36, 20 July 2023 (UTC)
thread_title:  "Mathematics without formulas" section - reasons for removal 

message: Abstract mathematics, also known as "mathematics without formulas" can be treated as a "geography without maps". As maps supply information about the places depicted in a very concentrated ways - they do not show the places. The same way the formulas give precise and capacitive descriptions, they do nt reveal pure facts. Formulas are treated as "the language of mathematics", but the soul of mathematics is a real world.
*Logically serial array of statements — is the most significant property of mathematics.
Arithmetics deals with numbers. IT also implies letters in algebraic formulas.
It is hard to state that something mathematically significant is hidden in integers and figures. So what does mathematic means?
If we imagine MATH as a single huge house, "we should imagine the scientists who built this house, naturally as brick layers. And this comparison is based on something. When a brick layer makes a wall, then every brick is firmly laid on the bricks which are laid before, and then are bound by a special cement. Mathematics reasons similarly every statement is supported by already proven statements. It is cemented by the laws of Logic.
*IN every building, getting lower and lower from the high floors to the foundation, finally we rich it. This fashion we can work with theorems. Earlier and later we get to the statements, truthfulness of which is accepted without any proofs. They are called AXIOMS and POSTULATES.
----
My reasons for this removal are as follows:
*This section is not about the process of abstraction. It should be in a different article.
*It contains unencyclopaedic language e.g. "the soul of mathematics is a real world".
*It contains POV statements e.g. "Logically serial array of statements — is the most significant property of mathematics".
*It contains numerous grammatical errors e.g. "So what does mathematic means?", "finally we rich it", "This fashion we can work with theorems".
*It is unsourced.
If someone wants to tidy it up, add sources and put it in a different article, that's fine — but I don't think it belongs in this article. Gandalf61 10:42, 12 January 2007 (UTC)
replies: text: 12 years old 41.116.34.41 (talk) 17:36, 20 July 2023 (UTC)
thread_title: General real world comparisons

message: One could write something about Stefan Banach, who even said something about deep analogies. konradek (talk) 22:11, 4 October 2008 (UTC)
thread_title: Important abstraction

message: Is there a source for this interesting claim?  Tkuvho (talk) 08:36, 22 May 2012 (UTC)
thread_title:  removing any dependence on real world objects  

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thread_title:  External links modified