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Gödel, doğal sayılar aritmetiğini kapsayan bir biçimsel dizgede, karar verilemeyen önermeler olduğunu kanıtlamıştır; yani bu önermeler ne kanıtlanabilirler ne de bunların biçimsel değillemeleri kanıtlanabilir. Ama öte yandan, bu karar verilemeyen önermelerin doğru oldukları üst-matematiksel akıl yürütmelerle gösterilebilir. Ayrıca Gödel, doğal sayılar aritmetiğini kapsayan bir biçimsel dizgenin tutarlılığının, bu dizgenin içinde kanıtlanamayacağını da kanıtlamıştır. Gödel’in çalışmalarının sonuçları matematiğin kendi içsel sınırlılıkları olduğunu ortaya koymuştur.

“Hiç kuşku yok ki, benim ortaya çıkardığım çalışma bir yanıyla, Nagel ve Newman’ın kitabından kaynaklanmıştır.”
–Douglas R. Hofstadter, Gödel, Escher, Bach’ın yazarı

‘Gödel’in kanıtlaması üzerine yazılmış en iyi kitap.” –Scientific American

“Olağanüstü bir yorumlama.” –Nature K

Ürün Adı: Gödel Kanıtlaması
Ürün Kodu: 9786254491849
Yazar: Ernest Nagel, James R. Newman
Basım Yılı: 2020
Kapak Türü: Karton Kapak
Sayfa Sayısı: 136
Kağıt Cinsi: Kitap Kağıdı
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