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Can the word belief be replaced with memo, short for MEntal MOdel?

The word I am looking for means "cognitive content that an agent categorizes as true".

Consider a statement X that could potentially be a fact, e.g. "Alice was born in NYC" or "Quebec City is Canada's capital" or "The earth is over 4 billion years old". Which of the following are synonymous? Which are logically connected (so that the truth of one implies the truth of another)?

# X.
# X is true.
# Bob thinks that X.
# Bob believes X.
# Bob considers X to be true.
# Bob holds X to be true.
# Bob knows X.
# Bob would bet on X.
# Bob would bet $100 on X.
# Bob would bet his house on X.
# Bob would bet his life on X.
# Bob claims that X.
# Bob would say X is true if asked.
# Bob would say X is true if asked and he had no reason to lie.
# Bob behaves as if X is true.
# Bob infers X from other facts he thinks are true.
# Bob would infer X from other facts he thinks are true.
# Bob could infer X from other facts he thinks are true.

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