BU BÖLÜM HAKKINDA
Euclid spends a lot of time in the Elements constructing figures with his ubiquitous ruler and compass. Why did he think this was important? Why did he think this was better than a geometry that has only theorems and no constructions? In fact, constructions protect geometry from foundational problems to which it would otherwise be … Continue reading Why construct?
ingilizce
Amerika Birleşik Devletleri
BU BÖLÜMDE
TRANSKRİPT 🔗
Are you the producer of this podcast?
Add a podcast transcript
Need Audio-to-Text?
Transcribe with Listen411 in Just 60 Seconds
SON BÖLÜMLERİ ARA
Opinionated History of Mathematics için geçmiş bölümleri ara.
BU PODCAST'IN DİĞER BÖLÜMLERİ
Euclid inspired Gothic architecture and taught Renaissance painters how to create depth and perspective. More generally, the success of mathematics went to its head, according to some, and created dogmatic individuals dismissive of other branches of learning. Some thought the uncompromising rigour …
Rationalism says mathematical knowledge comes from within, from pure thought; empiricism that it comes from without, from experience and observation. Rationalism led Kepler to look for divine design in the universe, and Descartes to reduce all mechanical phenomena to contact mechanics and all curve…
Philosophical movements in the 17th century tried to mimic the geometrical method of the ancients. Some saw Euclid—with his ruler and compass in hand—as a “doer,” and thus characterised geometry as a “maker’s knowledge.” Others got into a feud about what to do when Euclid was at odds with Aristotle…
The use of diagrams in geometry raise questions about the place of the physical, the sensory, the human in mathematical reasoning. Multiple sources of evidence speak to how these dilemmas were tackled in antiquity: the linguistics of diagram construction, the state of drawings in the oldest extant …
Feragatname: Bu sayfaya yerleştirilmiş podcast ve sanat eserleri, sahibinin mülkiyetinde olan ve Listen Notes, Inc.'e bağlı olmayan veya tarafından onaylanmayan Intellectual Mathematics'e aittir.
DÜZENLE
Podcast veritabanını güncel tutmaya yardımcı olduğunuz için teşekkür ederiz.
