New posts in axioms

I am losing my motivation to study math, what should I do? (philosophy of axioms and formal math) [closed]

axioms advice

A model of geometry with the negation of Pasch’s axiom? [duplicate]

geometry model-theory axioms

Equality of positive rational numbers.

reference-request definition rational-numbers axioms

Is $\mathrm{ZFC}^E$ outright inconsistent?

set-theory axioms

ZF Extensionality axiom

set-theory axioms

Motivating implications of the axiom of choice?

set-theory education axioms axiom-of-choice

Axiom schema and the definition of natural numbers

logic axioms natural-numbers

Gödel's (in)completeness theorems and the axiomatization of Euclidean geometry

euclidean-geometry axioms incompleteness

Why do we want the Axiom of the Power Set?

set-theory axioms foundations

The smallest infinity and the axiom of choice

set-theory infinity axiom-of-choice axioms

Axiomatic Foundations

logic philosophy axioms foundations

Why the axioms for a topological space are those axioms?

general-topology intuition axioms motivation

What does "extension" mean in the Axiom of extension

elementary-set-theory terminology axioms

How does the axiom of regularity make sense?

logic set-theory axioms

In axiomatization of propositional logic, why can uniform substitution be applied only to axioms?

logic propositional-calculus axioms

What is the difference between an axiom and a postulate?

logic terminology axioms

Can we axiomatize a field starting with the binary operations and only “equational” axioms?

abstract-algebra reference-request field-theory axioms universal-algebra

Multiplication by One

axioms

How much math do we need to prove all simple numeric identities?

algebra-precalculus logic axioms elementary-functions

Axiomatizing topology through continuous maps

general-topology continuity axioms