Mathematics & Innovations

Question 1

Pythagoras theorem,

Answer 1

a foundation for geometry and architecture, accelerated the world in all sciences

Question 2

Godel’s Incompleteness theorems

Answer 2

Kurt Godel showed that in any logical system powerful to do arithmetic, there will be inconsistencies and untrue statements, which shattered the dream of a complete and consistent math system.

Incompletedly proved the limits of logic-based systems and is fundamental in modern computational theory

Question 3

Avogadro’s constant

Answer 3

Helped with defining particles in physics and chemistry and was a fundamental. catalyst to quantum chemistry and physics, but often too abstract and complicated for scholars

Question 4

Discovery of number 0

Answer 4

In ancient india, math only represented quantities, not absence, this allowed for better numerical representation, 10, 100, 1000, enabled modern mathematics and algebra

Question 5

Discovery of lithium

Answer 5

A soft light metal that is used in batteries, phones, EV’s satellites and is evidently used in all electrical devices, even down to the wires in electrical systems, and is a synthesis between chemical discovery and fundemental usage.

Leads to environmental destruction, Global south is exploited for lithium rich land.