New posts in axioms

The theory in probability

System with infinite number of axioms

Why do finitists reject the axiom of infinity? [closed]

When the mathematical community consider the inclusion of a new axiom?.

What set theory axioms do I need to believe in uncountable ordinals?

Is it possible to prove the axiom of infinity from the real number axioms?

Axiom schema of specification (formula arguments)

Relationship between Category theory and Axiomatic set theory

What is the difference between "Peano arithmetic," "second-order arithmetic," and "second-order Peano arithmetic?"

What is the relation between axiomatic set theory and logical quantifiers?

Is it possible to prove reflexive, symmetric and transitive properties of equality and the transitive property of inequality?

Why such stark contrast between the approach to the continuum hypothesis in set theory and the approach to the parallel postulate in geometry?

Prove the distributive law $a(b+c)=ab+ac$ for real numbers?

Tao Real analysis: question on function definition (should it be an axiom?)

How can I write the Axiom of Specification as a sentence?

Why is Axiom of Choice "a convenient and safe labour-saving device"?

What is the difference between an axiom and a definition?

Why is "totally ordered" necessary in this implication of the Axiom of Foundation

Is the "domain of discourse" in axiomatic set theory also a "set"?

Why is "lies between" a primitive notion in Hilbert's Foundations of Geometry?