Definitions
from The Century Dictionary.
- noun The state of inferiority or subjection; the state of being subalternate; succession by turns.
- noun In logic, an immediate inference from a universal to a particular under it: as, every griffin breathes fire; therefore, some animals breathe fire. Some logicians do not admit the validity of this inference.
from the GNU version of the Collaborative International Dictionary of English.
- noun The state of being subalternate; succession of turns; subordination.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun The state of being
subalternate ;succession ofturns ;subordination .
Etymologies
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Examples
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And while the dependence of the sciences that he outlines here may be laudable in so far as it accords a privileged place to metaphysics, ultimately I think it is incorrect, since there is no real distinction between the various "branches" of natural philosophy--this is not a case of subalternation.
Archive 2008-06-15 papabear 2008
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Today, logic texts divide between those based on contemporary logic and those from the Aristotelian tradition or the nineteenth century tradition, but even many texts that teach syllogistic teach it with the forms interpreted in the modern way, so that e.g. subalternation is lost.
The Traditional Square of Opposition Parsons, Terence 2006
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A parallel argument establishes subalternation from
The Traditional Square of Opposition Parsons, Terence 2006
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This representation of the four forms is now generally accepted, except for qualms about the loss of subalternation in the left-hand column.
The Traditional Square of Opposition Parsons, Terence 2006
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S is P™ as requiring for its truth that there be some Ss, and if that requirement is imposed, then subalternation holds for affirmative propositions.
The Traditional Square of Opposition Parsons, Terence 2006
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In his thought the relation of REASON to FAITH is one of subalternation, in which the lower (reason) accepts principles of the higher (faith).
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These are called Subaltern Moods, because their conclusions might be inferred by subalternation from the universal conclusions which can justly be drawn from the same premisses.
Deductive Logic St. George William Joseph Stock
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It not being true that C is D and G is H, it is not true that A is B and E is F, which may be resolved into two steps of immediate inference, namely, conversion by contraposition followed by subalternation --
Deductive Logic St. George William Joseph Stock
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The validity of conversion by limitation may be shown thus: if, _All S is P_, then, by subalternation, _Some S is P_, and therefore, by simple conversion, _Some P is S_.
Logic Deductive and Inductive Carveth Read 1889
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_No men are wise_ is true; and, therefore, by subalternation, _Some men are not wise_ is true.
Logic Deductive and Inductive Carveth Read 1889
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