مشكلة البحث:

يبقى الفن ولا زال في جميع حالات التعاقب البشري ومراحل التطور الانساني الاكثر انطلاقة وتميزاً في التعبير عن واقع الانسان وعن مشاعره وانفعالاته وافكاره ذات الصلة بتأثيرات البيئة المحيطة به.

والفن ولاسيما (الرسم) يمثل وسيلة من وسائل التعبير الفني بل يكاد يكون الرسم وسيلة الانسان الاولى التي عبر فيها بخطوط مرئية عن مجالات حياته وعلاقته بالبيئة التي عاش فيها، ويقيناً ان الخطوط هذه وكما شكلتها يد الانسان وظهرت بصيغة رموز وصور ذات دلالات او معانٍ عبرت عن انفعالاته واهتماماته وحالته النفسية الداخلية من جهة، وعلاقته بالبيئة التي يعشيها بجميع ظواهرها الاجتماعية والطبيعية من جهة اخرى، في اشكال ظهرت في البداية على جدران الكهوف والقصور والمعابد والمنازل التي استخدمها كاوراق للرسم عليها وفيما تركه ذلك من ادلة على التعبير الفني لمكونات بيئته.

ومع ان وسائل الرسم وطرائق التعبير عنه قد تعددت وتنوعت عبر الاف السنين الا ان ميزة التفرد الرئيسة للرسم ظلت وستبقى تمثل حاجة نفسية يلجأ اليها الانسان بوصفها الوسيلة الاقرب وضوحاً الى نفسه والاعمق اثراً في وجدانه، كون ان الرسم من اكثر الفنون تماساً بملامح حياته ومن اشدها تأثيراً بشعوره وادراكه بدليل ان الحضارات الانسانية سعت ولقرون عديدة الى ان تعبر عن تجربتها الانسانية بالرسوم التي ينجزها ابناؤها.

ان هذا التوجه يعزز القناعة بفاعلية تلك الرسوم وفي تهيئة ذلك الترابط بين الانسان وما يعتمل في نفسه وفي كل ما في بيئته من مظاهر واشكال وما تحتويه من مشاهد تتمثل في رسومه وفي رؤيته ونظراته الى البيئة وتذوق مظاهرها وما يحسه من اشكال الشخوص والكائنات الحيوانية والنباتية والحوادث التي يريد التعبير عنها.

ويشير (هربرت ريد – 1975) بهذا الصدد الى ان "الفن استعداد متوافر لدى الافراد بدرجات متفاوتة ويطبقونه في كل ما يقع تحت احاسيسهم وعواطفهم ومشاعرهم في حياتهم اليومية، وهو يكشف القيم الجمالية، فبواسطته نستطيع ان نتعرف على مكامن الجمال والقبح والتمييز بينهما في الاشياء التي تقع بالبيئة المحيطة بنا، وكذلك فانه ينمي الذوق والاحساس بالجمال وينمي الوجدان كونه متغلغل في حياة الانسان منذ القدم اذ اصبحت كل الاشياء التي يصنفها الانسان خاضعة الى حد كبير للتشكيل الفني.

 

 

This paper contains an equivalent statements of a pre-  space, where  are considered subsets of with the product topology. An equivalence relation between the preclosed set  and a pre-  space, and a relation between a pre-  space and the preclosed set  with some conditions on a function  are found. In addition, we have proved that the graph  of  is preclosed in if  is a pre-  space, where the equivalence relation  on  is open.

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Abstract

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