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For many-valued logics, validity is accounted for in terms of preservation of designated value, where designated values can be thought of as ways of being true, while non-designated values can be thought of as ways of being false.
Let t and b be the designated values.
An external, home-made temperature control system was utilized to maintain the heater temperatures in the designated values (±0.2 °C).
The set D of designated values is of central importance for the notion of a valuation system.
There are then two non-trivial choices: let the set of designated values be {true} or {true, indeterminate}.
Whereas the algebraic values that are not designated are already given with the set of designated values D as its set-theoretical complement, the treatment of true and false as values that are independent of each other leads to distinguishing between the set D+ of designated values and the set D− of anti-designated values.
Similar(39)
A sentence holds (or is assertible) in a many-valued interpretation just if it takes a designated value.
They also must agree to accept only about 92percentt of their designated value in cash, according to people briefed on the plan.
Yet q is not evaluated as having a designated value.
Validity may then be defined as the necessary preservation of designated value.
As we can see, LP invalidates ECQ by assigning a designated value, both true and false, to a contradiction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com