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avraham
avraham
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"For any proposition P:
If, if I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
IfFor any proposition P, if I believe that P then I believe that I believe that P.
IfFor any proposition P, if I don't believe that P then I believe that I don't believe that P."

How can I write a set of propositions that doesn't include circular propositions and is logically equivalent to the set of propositions that are in the quotes?

"For any proposition P:
If I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
If I believe that P then I believe that I believe that P.
If I don't believe that P then I believe that I don't believe that P."

How can I write a set of propositions that doesn't include circular propositions and is logically equivalent to the set of propositions that are in the quotes?

"For any proposition P, if I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
For any proposition P, if I believe that P then I believe that I believe that P.
For any proposition P, if I don't believe that P then I believe that I don't believe that P."

How can I write a set of propositions that doesn't include circular propositions and is logically equivalent to the set of propositions that are in the quotes?

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Frank Hubeny
Frank Hubeny
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"For any proposition P:
If I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
If I believe that P then I believe that I believe that P.
If I don't believe that P then I believe that I don't believe that P."

"For any proposition P:
If I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
If I believe that P then I believe that I believe that P.
If I don't believe that P then I believe that I don't believe that P."

How can I write a set of propositions that doesn't include circular propositions and is logically equivalent to the set of propositions that are in the quotes?

"For any proposition P:
If I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
If I believe that P then I believe that I believe that P.
If I don't believe that P then I believe that I don't believe that P."

How can I write a set of propositions that doesn't include circular propositions and is logically equivalent to the set of propositions that are in the quotes?

"For any proposition P:
If I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
If I believe that P then I believe that I believe that P.
If I don't believe that P then I believe that I don't believe that P."

How can I write a set of propositions that doesn't include circular propositions and is logically equivalent to the set of propositions that are in the quotes?

added 10 characters in body
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avraham
avraham
  • 41
  • 2

"For any proposition P:
If I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
If I believe that P then I believe that I believe that P.
If I don't believe that P then I believe that I don't believe that P."

How can I write a set of propositions that doesn't include circular propositions and is logically equivalent to the set of propositions that are in the quotes?

"For any proposition P:
If I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
If I believe that P then I believe that I believe that P.
If I don't believe that P then I believe that I don't believe that P."

How can I write a set of propositions that doesn't include circular propositions and is equivalent to the set of propositions that are in the quotes?

"For any proposition P:
If I believe that P then this paragraph (everything that is written between the quotes) entails that I believe that P.
I believe that I exist.
If I believe that P then I believe that I believe that P.
If I don't believe that P then I believe that I don't believe that P."

How can I write a set of propositions that doesn't include circular propositions and is logically equivalent to the set of propositions that are in the quotes?

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avraham
avraham
  • 41
  • 2