truth-functionally

Probably any truth-functionally complete set of operators would suffice to represent the neither-true-nor-false value (and I just told you how to do it, to!).

Matthew Yglesias » Null Set Blogging 2007

If the senses of logical constants are individuated in this way by the conditions for their grasp, we can distinguish between truth-functionally equivalent constants with different meanings, like and “ ”, as defined below:

Logical Constants MacFarlane, John 2009

The bar operator and the Z operator provide the essentials of a truth-functionally complete strong Kleene semantics for three-valued logic.

Peirce's Logic Hammer, Eric 2007

For the former approach, the problem was that the empirical legitimacy of statements obtained via indirect testing also transfered to any expressions that could be truth-functionally conjoined to them (for instance, by the rule of ˜or™-introduction).

Vienna Circle Uebel, Thomas 2006

And with negations of conditionals and conditionals in antecedents, we saw, the problem is reversed: we assert conditionals which we would not believe if we construed them truth-functionally.

Conditionals Edgington, Dorothy 2006

Likewise, the distinction allows Abelard to define negation, and other propositional connectives, purely truth-functionally in terms of content, so that negation, for instance, is treated as follows: not-p is false/true if and only if p is true/false.

Peter Abelard King, Peter 2004

The reason why any reductive identification of final ends with any lower-level properties is bound to fail is that the ends possessed by organisms are holistic ends, and no lower-level description of a biological process, however complete it may be, can be equated in meaning with a holistic description of the same process, even if the two descriptions are truth-functionally equivalent.

Uncommon Descent vjtorley 2010