Final answer:
The standard axioms for modern math include Peano's axioms, Zermelo-Fraenkel axioms, Euclidean axioms, and Hilbert's axioms.
Step-by-step explanation:
The standard axioms for modern math include a) Peano's axioms, b) Zermelo-Fraenkel axioms, c) Euclidean axioms, and d) Hilbert's axioms.
Peano's axioms are a set of axioms for the natural numbers, which form the foundation of arithmetic.
Zermelo-Fraenkel axioms are a set of axioms for set theory, which is a fundamental branch of mathematics.
Euclidean axioms are a set of axioms for geometry, developed by Euclid.
Hilbert's axioms are a set of axioms for geometry, developed by David Hilbert.