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İlk olarak tanım, önerme ve karşıt örnek (counter example) kavramları açıklanmakta, ardından aksiyon (belit) kavramı ve Öklid'in beş aksiyomu anlatılmaktadır. Daha sonra tanım ve kanıt kavramları örneklerle gösterilmekte ve son bölümde Fermat'ın Son Teoremi'nin tarihi ve kanıtlanma süreci detaylandırılmaktadır.","Videoda asal sayı, pozitif tam sayı ve çift sayı gibi temel matematiksel kavramların tanımları verilmekte, Goldbach konjonktürü ve Fermat'ın Son Teoremi örnekleriyle konjonktür kavramı açıklanmaktadır. Video, beş alıştırma sorusunun verilmesiyle sona ermektedir."]},"endTime":1637,"title":"Soyut Matematik Temel Kavramları Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Soyut Matematik Dersinin Tanıtımı","list":{"type":"unordered","items":["Konuşmacı, 25 yıldan fazla süredir hocalık yapmamış olmasına rağmen soyut matematik derslerine başlıyor.","Bu ders matematik, matematik eğitimi, bilgisayar mühendisliği ve bilgisayar bilimleri bölümlerinde okuyan öğrenciler için hazırlanmıştır.","Dersler derinlemesine ve ayrıntılı kanıtlarla hazırlanacak, her video sonunda problemler ve çözümleri olacak."]},"beginTime":0,"endTime":99,"href":"/video/preview/11003994596528855368?parent-reqid=1769465266079410-8336771458112732592-balancer-l7leveler-kubr-yp-sas-124-BAL&text=Abstract+Math&t=0&ask_summarization=1"},{"index":1,"title":"Soyut Matematik ve Öğrenme Süreci","list":{"type":"unordered","items":["Soyut matematik ilginç bir derstir, bazı öğrenciler matematik bölümüne girdiklerine pişman olurken, bazıları matematiğin derinliğini keşfeder.","Matematik öğrenirken en büyük hata, verilen problemle uğraşmadan hemen çözümü görmek.","Matematiksel bir betimlemenin açık şekilde ifade edilmesine tanım denir ve matematik oluşması için tanım ve aksiyon (belit) gereklidir."]},"beginTime":99,"endTime":237,"href":"/video/preview/11003994596528855368?parent-reqid=1769465266079410-8336771458112732592-balancer-l7leveler-kubr-yp-sas-124-BAL&text=Abstract+Math&t=99&ask_summarization=1"},{"index":2,"title":"Önermeler ve Karşıt Örnekler","list":{"type":"unordered","items":["Önerme, hüküm bildiren bir cümledir ve kesin doğru ya da kesin yanlıştır.","Önermelerin örnekleri: \"2×3=6\", \"2=1\", \"π sayısının 100.000. basamağı 3'tür\".","Karşıt örnek, bir ifadenin yanlış olduğunu göstermek için kullanılan doğru 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edilir."]},"beginTime":977,"endTime":1163,"href":"/video/preview/11003994596528855368?parent-reqid=1769465266079410-8336771458112732592-balancer-l7leveler-kubr-yp-sas-124-BAL&text=Abstract+Math&t=977&ask_summarization=1"},{"index":6,"title":"Kanıt Örneği","list":{"type":"unordered","items":["\"İlk yüz asal sayının çarpımı çifttir\" önermesi kanıtlanabilir.","Çift sayı tanımı, \"n = 2k şeklinde yazılabilen tam sayılar\" olarak tanımlanır.","İlk yüz asal sayının çarpımı 2×(3×5×7×...×sonuncu asal sayı) = 2×k şeklinde yazılabilir ve bu bir çift sayıdır."]},"beginTime":1163,"endTime":1363,"href":"/video/preview/11003994596528855368?parent-reqid=1769465266079410-8336771458112732592-balancer-l7leveler-kubr-yp-sas-124-BAL&text=Abstract+Math&t=1163&ask_summarization=1"},{"index":7,"title":"Kanıt ve Konjonktür","list":{"type":"unordered","items":["Bir önermeyi kanıtlarken aksiyonlar, tanımlar ve daha önceden kanıtlanmış önermeler kullanılır.","Kanıtlayamadığımız, önerme olduğunu bildiğimiz ama 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