Lecture 2

Question 1

Until 1200

Answer 1

Philosophy intended to understand the world. A lot of Christian philosophy

Boethius (480-524) de institutio Arithmetica
Date of Easter
Numerologist material as well as
Three, powers of three, multiples of powers of three

Trigonal numbers

Question 2

Thomas Acquinas

Answer 2

1225-1274
Mathematics as special subject
Thomas Bradwardine 1290-1349
Nicole Oresme 1340-1382

Question 3

Early 15th Century

Answer 3

Margarita Philosophical - 1503
Gregor Reisch = 1467-1525
Arithmetica, musica, Geometría, astronomía, gnomonica, pyrotechnica

Telling the time, calculating the day of Easter and creating calendars was important

Margarita Philosophical (edition 1565)

Question 4

Printing Press

Answer 4

Effected dissemination of knowledge

Question 5

Mathematical Artisans

Answer 5

Leonardo di Pisa (1170-1250) Liber Abaci (1202)

Trade, banking system
Calculating on lines - from land and horses to monetary economy

Calculating on lines disappeared
Merchant Arithmetic:
Reise
Bartjens
Cocker
Barreme

Question 6

Two worlds of mathematics

Answer 6

Latin world of universitas
The mathematical artisans and the courts
Fra Luca Pacioli - 1445-1517
Double entry bookkeeping

Trade and expansion
Effected map making and navigation, but also exposed political prejudices and effected mathematics

Question 7

New horizons ?

Answer 7

Trade and expansion
And how limited the effect of mathematical expertise could still be