Nature of mathematics

 Nature of mathematics 

 ganit ka gyaan vishv mein samaan roop ka hota hai tatha usaka satyaapan kisee bhee samay tatha kisee bhee sthaan par kiya ja sakata hai. ganit kee samasyaon ke uttar sadaiv sthir rahate hain. unamen parivartan nahin kiya ja sakata hai. ve vivaadaaspad nahin hote hain jaisa ki any saamaajik vishayon mein hota hai. darshan tatha saamaajik vishayon mein bhinn-bhinn vyaktiyon ke vichaar bhinn-bhinn ho sakate hain parantu ganit kee gananaon ka vichaar sarvamaany maana jaata hai. vishisht roop mein ganit kee darshan yugon se sanchit (achchumulataid) ast-vyast (chhaotich) ganiteey gyaan ko nishchit arth aur kram (sainsai and ordair) dekar punarnimit (raichonstrucht) karane ka prayaas (attaimpt) hai. spasht hai ki darshan kaal (timai) ka phalan (funchtion) hai. koee bhee vishisht darshan naye yug mein nirarthak ho sakata hai. athava isako naye aur atirikt anubhavon ke prakaar mein badala ja sakata hai ganit kee prakrti mein nimn binduon ko joda ja sakata hai jo usakee vishvasaneeyata mein chaar chaand laga sakate hai. sankhyaen,sthaan,maapan aadi ganit ke aadhaar hai isamen vastuon ke sambandh tatha sankhyaatmak nishkarsh nikaale jaate hain. hindee,angrejee jaise saahityik vishay bhee chhandon kee maatra ginane mein ganit ka hee sahaara lete hai. ganit jagatajany (univairsal) vishay hai jisakee maanyataen duniya ke pratyek kone mein sarvamaany hai. yah gyaan samay va sthaan ke saath parivartit nahin hota hain. ganit ka gyaan theek (aixacht), spasht (chlaiar),taarkik (logichal) tatha kramavadhy (systaimatich) roop mein hota hai. ganit vishay ke gyaan ka aadhaar hamaaree gyaanendriyaan (sainsai organs) hotee hai, jin par vishvaas kiya ja sakata hai ganit mein 

saamaanyaanumaan (gainairalization) ka kshetr vyaapak hai usamen aagaman (daiduchtion) nigaman (induchtion) bhee sannihit hota hai. ganit mein amoort pratyayon kee vyaakhya kee jaatee hai 

 Nature of mathematics ganit kee prakrti ka vishleshan nimnaankit aadhaarabhoot visheshataon ke aadhaar par kiya ja sakata hai 

शुद्धता (Accuracy)

ganit ka sabase mahatvapoorn aadhaar shuddhata ke prati usakee pratibaddhata hai.any vishayon kee apeksha ganit ka lagaav shuddhata ke prati bahut adhik hai.

मौलिकता (Originality )

adhikaansh vishayon kee prakrti smrti kendrit hotee hai. ganit ki sthiti bhinn hai, yah tathyon ke punah smaran par hee aadhaarit nahin hota hai. varan bodh kendrit aur prayog kendrit hotee hai. 

सरलता (Simplicity )

paathyakram kee saralata ke drshtikon se yadi avalokan kiya jaaye to yathaarth mein ganit saralatam hai. yadi ve saral se jatil kee or chalane ka hee abhyaas kar len to adhikaansh ganit samasyaon ko hal karane mein saksham ho jaenge. 

परिणामों की निश्चितता (Cortainty of results )

 saamaanyatah adhikaansh vishayon mein nikaale gaye parinaamon mein ekaroopata nahin hotee hai. isaka pramukh kaaran vyaktinishthata aur vyaktigat roochi ya aroochi ka pratyaksh ya apratyaksh prabhaav padata hai. lekin ganit vishay mein nikaale gaye parinaam poornataya vastanishth hote hai. ve nishchit hote hai. yahee kaaran hai ki ganit aanshik saty ko sveekaar nahin karata hain. 

परिणाम का सत्यापन (Verification of Result)

kisee bhee vishay ko tabhee vigyaan maana jaata hai jabaki usake dvaara nikaale gae parinaam samaan paristhitiyon mein kisee ke bhee dvaara satyaapit kiye ja saken. unamen vyakti samay va sthaan ke kaaran kisee prakaar ka antar na aaye.is kasautee par ganit poornataya khara utarata hai. isee gun ke kaaran ganit mein chhaatr svamoolyaankan kar sakata hai. jisake parinaamasvaroop aatmavishvaas vikasit hota hai.


 Nature of mathematics 

संक्षिप्ता (Precision)

  • shikshan ka maadhyam sampreshan hai. sampreshan mein yadi uchit bhaasha ka chayan na kiya gaya to arth ka anarth ho sakata hain
  •  ganit kee paathyavastu sunishchit, spasht aur taarkik evan sankshipt hotee hai, jisaka mastishk mein sthireekaran adhik sthaayee hota hai.
  •  ganit kee bhaasha, usake siddhaant, sootr, pratyay aur tathyon kee prakrti vishisht hotee hai.
  •  ganit dvaara amoort pratyayon kee vyaakhya kee jaatee hai aur usako spasht karane hetu use amoort mein parivartit kar pradarshit kiya jaata hai.
  •  ganit ke nishkarsh, spasht hote hain unamen prem ke lie koee sthaan nahin hota hai. 
  • ganit ka gyaan saarvabhaumik hota hai, jis par vyakti samay va sthaan ka koee prabhaav nahin padata hain. 
  • ganit kee paathyavastu vishesh roop se sankhya, sthaan va maapan ka koee prabhaav nahin padata hai. 
  • ganit mein samasya samaadhaan ka aadhaar kaary kaaran sambandh hota hai jisake aadhaar par maatraatmak nishkarsh nikaale jaate hain

Nature of mathematics Nature of mathematics Reviewed by shirswastudy on March 02, 2019 Rating: 5

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