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Is a Conjecture accepted without proof in a logical system?
yes, but not if it is illogical.
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 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.
What is accepted without proof in a logical system?
Axioms and Posulates -apex
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.
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 a Conjecture accepted without proof in a logical system?
yes, but not if it is illogical.
What are the statements that require proof in a logical system?
The statements that require proof in a logical system are theorems and corollaries.
What are statements that require proof in logical a system?
The statements that require proof in a logical system are theorems and corollaries.
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
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 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.
Which of the following are statements that require proof in a logical system?
Corollaries,TheoremsCorollaries, Theorems
What is accepted without proof in a logical system?
Axioms and Posulates -apex
