3-Mathematics-History-Invention

Archimedes math

He lived -287 to -212 and invented Archimedes' theorem, Archimedes spiral, Archimedes axiom, and Archimedes real-number property. He used exhaustion method to find pi and sphere and conic areas and volumes. He used completeness axiom. He found Archimedes buoyancy law {Archimedes' principle, Archimedes} {Archimedes principle, Archimedes}. He put a screw {Archimedes' screw} {Archimedes screw} inside a cylinder, to lift water.

Hero of Alexandria

He lived 10 to 70, invented Hero's formula, and studied geodesy, mechanics, and pneumatics. He maintained constant water-clock water supply, using float and needle valve, as in carburetors. He invented steam engine {aeolipile} [62].

Pascal B

He lived 1623 to 1662, was Cartesian and Jansenist, and invented first metal-tooth wheeled calculating machine [1642]. He invented hydraulic press to multiply force, syringe, Pascal's principle, Pascal's theorem, Pascal's triangle, mathematical induction, fundamental enumeration principle, binomial theorem, large-numbers law, and conditional-probability law.

At mechanical equilibrium, with only gravity acting, liquid has hydrostatic pressure {Pascal's law}.

Epistemology

People can neither reject reasoning nor say there is only reasoning. Reason cannot deal with ultimate metaphysical problems. Faith is necessary complement to reason. Expected value of believing in God is more than value of non-belief {Pascal's wager}.

Metaphysics

God exists because man is helpless without God.

Kemeny J

He lived 1926 to 1992 and developed a FORTRAN-like programming language {BASIC programming language}.

Related Topics in Table of Contents

3-Mathematics-History

Drawings

Drawings

Contents and Indexes of Topics, Names, and Works

Outline of Knowledge Database Home Page

Contents

Glossary

Topic Index

Name Index

Works Index

Searching

Search Form

Database Information, Disclaimer, Privacy Statement, and Rights

Description of Outline of Knowledge Database

Notation

Disclaimer

Copyright Not Claimed

Privacy Statement

References and Bibliography

Consciousness Bibliography

Technical Information

Date Modified: 2022.0225