Conversion, Obversion and Contraposition Flashcards

1
Q

What is an inference in logic?

A

An inference in logic is a reasoning process that leads to a logical judgment or conclusion based on available evidence, information, or facts.

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2
Q

What distinguishes immediate inference from mediate inference?

A

Immediate inference occurs when a conclusion is drawn directly from a premise, while mediate inference requires more than one premise in logic.

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3
Q

What is conversion in logic?

A

Conversion in logic takes place when the subject and predicate terms of a standard-form categorical proposition are interchanged.

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4
Q

What are the terms used to describe the propositions involved in conversion?

A

The standard-form categorical proposition being converted is called the convertend, while the proposition that evolves from the conversion is known as the converse.

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5
Q

Which types of categorical propositions is conversion valid for?

A

Conversion is valid for E and I propositions.

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6
Q

In what circumstance is conversion possible for an A proposition?

A

Conversion for an A proposition is only possible by limitation.

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7
Q

Is conversion valid for O propositions?

A

No, conversion is completely invalid for O propositions.

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8
Q

What is obversion in logic?

A

Obversion in logic occurs when the quality of a standard-form categorical proposition is swapped from affirmative to negative or vice versa, and the predicate of the proposition is changed to its complement.

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9
Q

What are the terms used to describe the propositions involved in obversion?

A

The standard-form categorical proposition being obverted is called the obvertend, and the proposition that evolves from obversion is called the obverse.

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10
Q

Which types of propositions can be obverted into each other?

A

An A proposition can be obverted into an E proposition, and vice versa. Similarly, an I proposition can be obverted into an O proposition, and vice versa.

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11
Q

Are the obvertend and obverse logically equivalent?

A

Yes, if an A proposition is obverted to an E proposition, or an I proposition is obverted to an O proposition, and vice versa, they are considered logically equivalent.

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12
Q

What is contraposition in logic?

A

Contraposition in logic is the process of inferring a new proposition by interchanging the subject and predicate terms of a given standard-form categorical proposition and replacing them with their complements.

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13
Q

What are the terms used to describe the propositions involved in contraposition?

A

The standard-form categorical proposition to be contraposed is called the contraponend, while the new proposition formed from the process is called the contraposit.

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14
Q

Which types of propositions can be contraposed for logical equivalence?

A

A and O propositions can be contraposed if the truth value must be completely preserved.

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15
Q

What additional step is required for contraposing an E proposition?

A

For an E proposition, the quantifier must be changed from “No” to “Some” after swapping the subject and predicate terms.

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16
Q

Can contraposition be performed through other processes besides direct contraposition?

A

Yes, contraposition can also be performed through the process of obversion, conversion, and obversion.

17
Q

Provide an example of contraposition through obversion, conversion, and obversion.

A

Example: If we have the A proposition “All lawyers are liars,” we can arrive at its contraposit by obverting it to “No lawyers are non-liars,” converting it to “No non-liars are lawyers,” and then obverting it again to “All non-liars are non-lawyers.”

18
Q

What is the primary objective achieved through the principles of conversion, obversion, and contraposition in logic?

A

The primary objective achieved through these principles is reasoning, as logic aims to facilitate sound and valid reasoning processes.