Grntbg at 05:37, 18 February 2024

2024-02-18T05:37:27Z

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	'''Subalternation''' refers to the relationship between universal and particular propositions. The truth of the universal proposition implies the truth of the particular. The [[inverse]] of a proposition changes the quality of the statement instead of changing its quantity.		'''Subalternation''' refers to the relationship between universal and particular propositions. The truth of the universal proposition implies the truth of the particular. The [[inverse]] of a proposition changes the quality of the statement instead of changing its quantity.

Grntbg: Created page with "'''Subalternation''' refers to the relationship between universal and particular propositions. The truth of the universal proposition implies the truth of the particular. The inverse of a proposition changes the quality of the statement instead of changing its quantity. ==Example== If ''E'' is true, ''O'' has to be true. If ''E'' is false, nothing can be inferred about ''O''. The inference has to originate from the truth of the particular proposition, and a suba..."

2023-10-10T15:10:57Z

Created page with "'''Subalternation''' refers to the relationship between universal and particular propositions. The truth of the universal proposition implies the truth of the particular. The inverse of a proposition changes the quality of the statement instead of changing its quantity. ==Example== If ''E'' is true, ''O'' has to be true. If ''E'' is false, nothing can be inferred about ''O''. The inference has to originate from the truth of the particular proposition, and a suba..."

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'''Subalternation''' refers to the relationship between universal and particular propositions. The truth of the universal proposition implies the truth of the particular. The [[inverse]] of a proposition changes the quality of the statement instead of changing its quantity.

==Example==
If ''E'' is true, ''O'' has to be true. If ''E'' is false, nothing can be inferred about ''O''. The inference has to originate from the truth of the particular proposition, and a subalternate proposition cannot be inferred from an untrue particular proposition.

The contrapositive of the universal proposition "all English majors are good writers" is "all non-good writers are English majors." This statement is the contrapositive of the universal proposition because the subject is replaced with the predicate. (See: [[naming propositions]]).

"All dogs are pets" is a universal proposition that does not bear the same meaning as the particular proposition "some dogs are pets." Despite this, the two statements are not contrapositives.

===Traditional and modern squares of opposition===
```
(t) (f)
A---E
|\ /|
| X |
|/ \|
I---O
(t) (f)
```

==Practice==
Identifying subalternate propositions is essential to quantifying the formal logic of a proposition and, in turn, identifying [[fallacy|logical fallacies]].

It is most useful for a proposition to be written in [[standard form]] for identifying contrapositives.

Subalternation - Revision history

Grntbg at 05:37, 18 February 2024