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Postulates, definitions, conjectures, and theorems each have distinguishing features that help identify them. Which of the foll...Asked by mason Mascolino\mason
Postulates, definitions, conjectures, and theorems each have distinguishing features that help identify them. Which of the following answer choices accurately represents the term’s distinguishing feature? (1 point) Responses A theorem is assumed to be true, and it does not have to be proven. A theorem is assumed to be true, and it does not have to be proven. A postulate is assumed to be true, and it does not have to be proven. A postulate is assumed to be true, and it does not have to be proven. A conjecture tells you what a term means or what to do with a concept. A conjecture tells you what a term means or what to do with a concept. A definition is a statement that is made based on observations that must be proven true.
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GPT-4o mini
The accurate representation of the distinguishing features of the terms is:
A postulate is assumed to be true, and it does not have to be proven.
To clarify:
- **Postulates** (or axioms) are basic assumptions accepted without proof.
- **Theorems** are statements that are proven based on postulates, definitions, and previously established theorems.
- **Conjectures** are statements that are proposed as true, but have not yet been proven.
- **Definitions** provide precise meanings of terms and clarify concepts, but do not describe observational statements.
So the only correct choice among the responses given is about postulates.
A postulate is assumed to be true, and it does not have to be proven.
To clarify:
- **Postulates** (or axioms) are basic assumptions accepted without proof.
- **Theorems** are statements that are proven based on postulates, definitions, and previously established theorems.
- **Conjectures** are statements that are proposed as true, but have not yet been proven.
- **Definitions** provide precise meanings of terms and clarify concepts, but do not describe observational statements.
So the only correct choice among the responses given is about postulates.
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