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Difference between revisions of "A Prioris"
→Logical a Prioris
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!Name | !Name | ||
!Description | !Description | ||
!Logical | !Example | ||
!Logical Representation | |||
|- | |- | ||
|Conditional Statement | |Conditional Statement | ||
| | |An "If ... then ..." statement. | ||
|If it is raining, then I will bring an umbrella. | |||
|<math>p \rightarrow q</math> | |<math>p \rightarrow q</math> | ||
|- | |- | ||
|Antecedent | |Antecedent | ||
| | |The first part of the "If ... then ..." statement; what follows the "if." | ||
|It is raining. | |||
|<math>p</math> | |<math>p</math> | ||
|- | |- | ||
|Consequent | |Consequent | ||
| | |The second part of the "If ... then ..." statement; what follows the "then." | ||
|I will bring an umbrella. | |||
|<math>q</math> | |<math>q</math> | ||
|} | |} | ||
Pay close attention to the '''Logical Representation''' column. It is equivalent to the '''Example''' column, except it is using a mathematical variable in place of the English statement. That is, <math>p</math> corresponds to, "It is raining," and <math>q</math> corresponds to "I will bring an umbrella." | |||
<blockquote>Take any conditional, for example "if it's raining, then I will use an umbrella." In the case where it is raining, it is certain that I will take an umbrella. However, if it's not raining, it doesn't matter if I take an umbrella or not because in either case I wouldn't be violating the conditional. Thus, if the antecedent (the first part of the conditional. In this case, "if it's raining") is false, then the statement will always be true. You can apply this rule to the conditional "if the aff is winning, then they get the ballot." Even if the antecedent is false (so even if the aff is losing) then you still vote aff because the conditional is still true.</blockquote>This is the type of logical syllogism that can appear as an a priori. Spoiler alert: there will always be some sort of faulty logic in these types of arguments. | <blockquote>Take any conditional, for example "if it's raining, then I will use an umbrella." In the case where it is raining, it is certain that I will take an umbrella. However, if it's not raining, it doesn't matter if I take an umbrella or not because in either case I wouldn't be violating the conditional. Thus, if the antecedent (the first part of the conditional. In this case, "if it's raining") is false, then the statement will always be true. You can apply this rule to the conditional "if the aff is winning, then they get the ballot." Even if the antecedent is false (so even if the aff is losing) then you still vote aff because the conditional is still true.</blockquote>This is the type of logical syllogism that can appear as an a priori. Spoiler alert: there will always be some sort of faulty logic in these types of arguments. | ||