A theorem is a statement or proposition that has been proven to be true through a logical and rigorous mathematical or scientific process.
An axiom is a statement or principle that is accepted as true without needing to be proven, while a theorem is a statement that is proven to be true based on previously accepted axioms or other theorems.
The purpose of a theorem is to establish a fundamental truth or relationship within a specific field of study, such as mathematics or science. It serves as a building block for further research and understanding in that field.
A theorem is proven through a logical and rigorous process of deduction, using accepted axioms and previously proven theorems. This process may involve mathematical equations, scientific experiments, or other methods of observation and analysis.
Yes, a theorem can be disproven if it is found to be inconsistent with accepted principles or if new evidence or research contradicts its conclusions. However, once a theorem has been thoroughly tested and accepted by the scientific community, it is typically considered a fundamental truth that is not easily disproven.