Such terms are called axioms, or postulates.Exactly which terms are defined to be axioms depends on the specific system used.
No, theorems cannot be accepted until proven.
yes, but not if it is illogical.
A geometry rule that is accepted without proof is called an "axiom" or "postulate." Axioms serve as the foundational building blocks for a geometrical system, from which other theorems and propositions can be derived. They are considered self-evident truths within the context of the specific geometric framework.
Axioms and Posulates -apex
The phrase "accepted without logical system" suggests that certain beliefs or practices may be embraced based on tradition, emotion, or social consensus rather than rational reasoning. This can occur in various contexts, such as cultural norms or personal beliefs, where individuals prioritize acceptance over critical analysis. While this approach can foster community and shared identity, it may also lead to challenges in decision-making and conflict resolution when logical reasoning is disregarded. Ultimately, balancing acceptance with critical thinking is essential for informed choices.
No, theorems cannot be accepted until proven.
Postulates and axioms are accepted without proof in a logical system. Theorems and corollaries require proof in a logical system.
yes
yes, but not if it is illogical.
axioms
Axioms, or postulates, are accepted as true or given, and need not be proved.
A geometry rule that is accepted without proof is called an "axiom" or "postulate." Axioms serve as the foundational building blocks for a geometrical system, from which other theorems and propositions can be derived. They are considered self-evident truths within the context of the specific geometric framework.
Axioms and Posulates -apex
Postulates and axioms.
An axiom is a statement that is accepted without proof. Proofs are based on statements that are already established, so therefore without axioms we would have no starting point.
The question asks about the "following". In those circumstances would it be too much to expect that you make sure that there is something that is following?
The statements that require proof in a logical system are theorems and corollaries.