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yes, but not if it is illogical.

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Is theorems accepted without proof in a logical system in geometry?

No, theorems cannot be accepted until proven.


What terms are accepted without proof in a logical system geometry?

Such terms are called axioms, or postulates.Exactly which terms are defined to be axioms depends on the specific system used.


What is accepted without proof in a logical system?

Axioms and Posulates -apex


Are accepted without logical system?

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.


What is proof of a logical system?

Proof in a logical system is a sequence of statements or formulas derived from axioms and previously established theorems using rules of inference. It serves to demonstrate the validity of a specific proposition or theorem within the framework of the system. A proof must be rigorous and adhere to the rules of the logical system to ensure its soundness and reliability. Essentially, it provides a formal verification that certain conclusions logically follow from accepted premises.

Related Questions

Which are accepted without proof in a logical system Postulates Axioms Theorems or Corollaries?

Postulates and axioms are accepted without proof in a logical system. Theorems and corollaries require proof in a logical system.


Is a definition accepted without proof in a logical system?

yes


Is theorems accepted without proof in a logical system in geometry?

No, theorems cannot be accepted until proven.


Which are accepted without proof in a logical system?

axioms


What statements are accepted as true without proof in a logical system?

Axioms, or postulates, are accepted as true or given, and need not be proved.


What terms are accepted without proof in a logical system geometry?

Such terms are called axioms, or postulates.Exactly which terms are defined to be axioms depends on the specific system used.


What is accepted without proof in a logical system?

Axioms and Posulates -apex


What are accepted without proof in a logical system Check all that apply A Postulates B Theorems C Axioms D Corollaries?

Postulates and axioms.


Are accepted without logical system?

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.


Do axioms need a proof in the logical system?

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.


What is proof of a logical system?

Proof in a logical system is a sequence of statements or formulas derived from axioms and previously established theorems using rules of inference. It serves to demonstrate the validity of a specific proposition or theorem within the framework of the system. A proof must be rigorous and adhere to the rules of the logical system to ensure its soundness and reliability. Essentially, it provides a formal verification that certain conclusions logically follow from accepted premises.


Which of the following are accepted withoiut proof in a logical system?

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?