What is your answer?

Logicality requires that we be logically consistent in our beliefs. This requires that

    { 1 } - we not accept a belief without also accepting its logical consequences.
    { 2 } - we not accept logically incompatible beliefs.
    { 3 } - both of the above.
    { 4 } - neither of the above.

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1 is wrong. Please try again.

Logicality requires that we be logically consistent in our beliefs. This requires that

It also requires that we not accept logically incompatible beliefs.

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2 is wrong. Please try again.

Logicality requires that we be logically consistent in our beliefs. This requires that

    { 1 } - we not accept a belief without also accepting its logical consequences.
    { 2 } - we not accept logically incompatible beliefs.
    { 3 } - both of the above.
    { 4 } - neither of the above.

It also requires that we not accept a belief without also accepting its logical consequences.

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3 is correct!

Logicality requires that we be logically consistent in our beliefs. This requires that

    { 1 } - we not accept a belief without also accepting its logical consequences.
    { 2 } - we not accept logically incompatible beliefs.
    { 3 } - both of the above.
    { 4 } - neither of the above.

We can formulate the requirement in this way:

    1. If A and B are logically inconsistent with each other, then don't combine accepting A with accepting B.

    2. If A logically entails B, then don't combine accepting A with not accepting B.

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4 is wrong. Please try again.

Logicality requires that we be logically consistent in our beliefs. This requires that

    { 1 } - we not accept a belief without also accepting its logical consequences.
    { 2 } - we not accept logically incompatible beliefs.
    { 3 } - both of the above.
    { 4 } - neither of the above.

Gee, what does it require then?

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