Mathematical foundations


This will include mathematical objects, set theory, mathematical structure, and symbolic logic.	Sapience Home Site Map About Sapience Culture Conceptual Culture Mathematics

This will include mathematical objects, set theory, mathematical structure, and symbolic logic.

Symbolic logic

This includes areas such as axiomatics and the development of axiomatic systems.

Mathematical structure

This includes the development of operations, relations, and functions.

Set theory

This involves subjects such as sets and collectives of various types.

Mathematical objects

Every branch of mathematics has mathematical objects. This deals with general concepts of naming, definition, and construction.


The formalized study of mathematical foundations has a relatively short and recent history. Only traces can be found in prehistory, antiquity, or classical and medieval times. It has developed principally in modern times including the 16th century, 17th century, 18th century, and 19th century. The 20th century including the early 20th century, early mid 20th century, mid 20th century, late mid 20th century, late 20th century, and early 21st century can be connected. The future can be examined.	Links to other sites
Sociology including communities and social structure and change can be connected. Peoples of the world including nations and major divisions of Western Civilization, Asiatic peoples, African peoples, and American Indian peoples can be connected. Institutions including religion, government, economics, education, and families can be connected. Other areas of culture including behavioral culture can be connected. Other areas of conceptual culture including philosophy, applied science, other areas of mathematics, literature, graphic arts and language can be connected. Material culture can be connected. Anthropology including particular groups, human geography, human ecology, physical anthroplogy, demography, and social foundations can be connected. Personal studies including biography, psychology, and the human body can be connected. Science including biology, earth science, astronomy, chemistry, and physics might be connected.

The formalized study of mathematical foundations has a relatively short and recent history. Only traces can be found in prehistory, antiquity, or classical and medieval times. It has developed principally in modern times including the 16th century, 17th century, 18th century, and 19th century. The 20th century including the early 20th century, early mid 20th century, mid 20th century, late mid 20th century, late 20th century, and early 21st century can be connected. The future can be examined.

Links to other sites

Sociology including communities and social structure and change can be connected. Peoples of the world including nations and major divisions of Western Civilization, Asiatic peoples, African peoples, and American Indian peoples can be connected.

Institutions including religion, government, economics, education, and families can be connected.

Other areas of culture including behavioral culture can be connected. Other areas of conceptual culture including philosophy, applied science, other areas of mathematics, literature, graphic arts and language can be connected. Material culture can be connected.

Anthropology including particular groups, human geography, human ecology, physical anthroplogy, demography, and social foundations can be connected.

Personal studies including biography, psychology, and the human body can be connected. Science including biology, earth science, astronomy, chemistry, and physics might be connected.