[Turkmath:9296] MSGSU Seminer: David Pierce / Geometry as made rigorous by Euclid and Descartes / 31.10.13

[Mustafa Topkara]

Mimar Sinan Güzel Sanatlar Üniversitesi - Matematik Bölümü
Genel Seminer

Konuşmacı:
David Pierce (Mimar Sinan Güzel Sanatlar Üniversitesi)

Baslik:
Geometry as made rigorous by Euclid and Descartes

Özet:
For Immanuel Kant (born 1724), the discovery of mathematical proof by
Thales of Miletus (born around 624 BCE) is a revolution in human
thought.  Modern textbooks of analytic geometry often seem to
represent a return to prerevolutionary times.  The counterrevolution
is attributed to Rene Descartes (born 1596).  But Descartes
understands ancient Greek geometry and adds to it.  He makes algebra
rigorous by interpreting its operations geometrically.

The definition of the real numbers by Richard Dedekind (born 1831)
makes a rigorous converse possible.  David Hilbert (born 1862) spells
it out: geometry can be interpreted in the ordered field of real
numbers, and even in certain countable ordered fields.

In modern textbooks, these ideas are often entangled, making the
notion of proof practically meaningless.
I propose to disentangle the ideas by means of Book I of Euclid's
Elements and Descartes's Geometry.

Yer:
MSGSÜ Bomonti Kampüsü (Harita <http://math.msgsu.edu.tr/iletisim.html>),
Matematik Bölümü Seminer Odası.

Zaman:
31 Ekim 2013 Perşembe, 16:00
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