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32 Cards in this Set

  • Front
  • Back

Conditional Reasoning...

...is the broad name given to logical relationships
composed of sufficient and necessary conditions.
Sufficient Condition
A sufficient condition can be defined as an event or circumstance
whose occurrence indicates that a necessary condition must also occur.
Necessary Condition
A necessary condition can be defined as an event or circumstance
whose occurrence is required in order for a sufficient condition to
occur.
Conditional Statement
If (sufficient condition) then (necessary condition):

sufficient ----> necessary
Feature # 1 of Conditional Statements
The sufficient condition does not make the necessary condition occur.

That is, the sufficient condition does not actively cause the necessary condition to happen. That form of reasoning is known as Causal Reasoning. Instead, in a
conditional statement the occurrence of the sufficient condition is a sign or indicator that the necessary condition will occur, is occurring, or has already occurred.
Feature # 2 of Conditional Statements
Temporally speaking, either condition can occur first, or the two
conditions can occur at the same time.
Feature # 3 of Conditional Statements
The conditional relationship stated by the author does not have to
reflect reality.
Repeat form:
The Repeat form simply restates
the elements in the original order
they appeared. This creates a
valid inference.
Mistaken Reversal:
A Mistaken Reversal switches the
elements in the sufficient and
necessary conditions, creating a
statement that does not have to
be true.
Mistaken Negation:
A Mistaken Negation negates both
conditions, creating a statement that
does not have to be true.
Contrapositive:
( A ----> B ) is equivalent to ( ~B ----> ~A)

When the necessary condition fails to occur, then the sufficient condition cannot occur.
Sufficient Condition indicators:
If, When, Whenever, Every, All, Any, People who, In order to, The only way to
Necessary Condition indicators:
Then, Only, Only if, Must, Required, Unless, Except, Until, Without
When "unless", "without", "except", "until" appear in a conditional statement...
1. Whatever term is modified by “unless,” “except,” “until,” or “without” becomes the necessary condition.

2. The remaining term is negated and becomes the sufficient condition.
If
Sufficient Condition indicator
When
Sufficient Condition indicator
Whenever
Sufficient Condition indicator
Every
Sufficient Condition indicator
All
Sufficient Condition indicator
Any
Sufficient Condition indicator
People who
Sufficient Condition indicator
In order to
Sufficient Condition indicator
The only way to
Sufficient Condition indicator
Then
Necessary Condition indicator
Only
Necessary Condition indicator
Only if
Necessary Condition indicator
Must
Necessary Condition indicator
Requires/d
Necessary Condition indicator
Unless
Necessary Condition indicator
Except
Necessary Condition indicator
Without
Necessary Condition indicator
Until
Necessary Condition indicator