Axioms

Overview of Axiom An axiom is a self evident truth or a statement taken to be true. It is typically used as the starting point for logical reasoning or foundation for understanding additional points that derive from the original statement or idea. …

I’d like to write about my idea regarding to evolution. My understanding to Darwin’s evolution is that 1) individuals who adjust to environment will survive. Ex) not eaten by predator, favored by mate. 2) Genetic mutation over time brought diversity of species. Evolution theory mostly make sense but not quite…

The axiom of choice and two implications — Mathematics is based on the Zermelo-Fraenkel axioms of set theory. Among them, there is one that for a long time has been very controversial. It’s called the axiom of choice. We’ll look at what it assumes and what are its implications. The axiom of choice The axiom states that for every collection of non-empty…

Some philosophers have lamented the lack of public interest in philosophy, while others have provided whole books dedicated to improving oneself and one’s life. It seems that self-help is a spin off from philosophy; so can philosophy actually help you with your life and choices? An axiom is a principle…

Before diving into Gödel's theorem, it’s crucial to grasp a few key mathematical concepts. Axioms: Axioms are assertions in mathematics that are presumed to be true. As an example, consider the following axioms: A straight line is always between two points A circle can be drawn give a center and…