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Girolamo Saccheri’nı̇n Paralellı̇k Problemı̇nı̇n Çözümüne Dair
Date
2017-12-01
Author
Bağçe, Samet
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Giovanni Girolamo Saccheri (1667-1733), Euclides ab omni naevo vindicatus başlıklı eserinde Öklid’in Elementler’inin mükemmelliğine gölge düşüren üç leke olduğundan bahseder. Bunlardan biri, paralellik postulatı –diğerleri, rasyoların kompozisyonu (Kitap V, Tanım 6) ve eşit-nispetler/oranlar (Kitap VI, Tanım 5)- ve sözü edilen çalışmada Saccheri, paralellik probleminin kendisinden önce gelen geometricilerden farklı bir çözümünü verir. Onun çözümü, paralellik postulatının Öklid’in geometrisi için elzem olduğunun ispatlamasına dayanır. İspatı da reductio ad absurdum metodunu kullanarak yapar. Bu çalışmada, Saccheri’nin ispatının analizi ve değerlendirilmesi yapılacaktır.
Subject Keywords
Giovanni Girolamo Saccheri
,
Euclides ab omni naevo vindicatus
,
Reductio ad absurdum
,
Logica Demonstrativa
,
Öklid geometrisi
,
Dik Açı Büyük ve Küçük Açı Hipotezleri
,
Gayri-Öklidyen geometrilerin keşf
,
Mantık-geometri ilişkisi
,
Euclid’s geometry
,
The Acute, Obtuse and Right angle Hypotheses
,
The discovery of non-Euclidean geometries
,
Relationship between logic and geometry
URI
https://hdl.handle.net/11511/80652
https://calistay.mantik.org.tr/wp-content/uploads/2018/01/VII-Mantik-Calistayi-Kitabi.pdf
Relation
VII. Mantık Çalıştayı Kitabı
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Department of Philosophy, Book / Book chapter
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S. Bağçe,
Girolamo Saccheri’nı̇n Paralellı̇k Problemı̇nı̇n Çözümüne Dair
. 2017, p. 119.