__are assumed as the universal truths in all branches of mathematics.

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answer is AXIOMS.

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Detailed Solution

Definition: An axiom is a statement or proposition that is accepted as true without proof, serving as a fundamental basis for further reasoning and arguments in mathematics. Axioms are assumed to be universal truths across all branches of mathematics.

Self-evident Truths: Axioms are considered self-evident and do not require proof. They are the foundational building blocks upon which mathematical theories are constructed.
Universality: Axioms are universally accepted within the mathematical community and apply across various branches of mathematics, providing a common framework for developing mathematical concepts.
Independence: Axioms are independent of each other, meaning that no axiom can be derived from another. This independence ensures that each axiom contributes uniquely to the foundation of mathematical theory.

In summary, axioms are assumed as the universal truths in all branches of mathematics, forming the foundational basis from which mathematical reasoning and proofs are developed.

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