biconditionaln.

/ˌbʌɪkənˈdɪʃənəl/

Etymology: < bi- comb. form + conditional n.

Logic.

The relation between two propositions when one is true only if the other is true, or false if the other is false; the symbolic or verbal representation of such a relation. Also attributive or as adj.

ΘΚΠ

the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > propositional relation > other terms relating to

domain1903

field1903

referent1903

biconditional1940

non-disjunction1949

1940 W. V. Quine Math. Logic i. §3. 20 This binary mode of composition may be called the biconditional.

1941 W. V. Quine in P. A. Schilpp Philos. A. N. Whitehead ii. iv. 141 ‘≡’ is the biconditional sign.

1950 W. V. Quine Methods of Logic §3. p. 16 The idiom ‘p if and only if q’, called the biconditional, amounts obviously to the conjunction of two conditionals, ‘if p then q’ and ‘if q then p’.

1961 R. R. Stoll Sets, Logic, & Axiomatic Theories ii. 58 The words ‘if and only if’ are used to obtain from two sentences a biconditional sentence.

1962 Gloss. Automatic Data Processing (B.S.I.) 30 Equivalence operation..bi-conditional.

This entry has not yet been fully updated (first published 1972; most recently modified version published online September 2018).

单词	biconditional
释义	biconditionaln. /ˌbʌɪkənˈdɪʃənəl/ Etymology: < bi- comb. form + conditional n. Logic. The relation between two propositions when one is true only if the other is true, or false if the other is false; the symbolic or verbal representation of such a relation. Also attributive or as adj. ΘΚΠ the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > propositional relation > other terms relating to domain1903 field1903 referent1903 biconditional1940 non-disjunction1949 1940 W. V. Quine Math. Logic i. §3. 20 This binary mode of composition may be called the biconditional. 1941 W. V. Quine in P. A. Schilpp Philos. A. N. Whitehead ii. iv. 141 ‘≡’ is the biconditional sign. 1950 W. V. Quine Methods of Logic §3. p. 16 The idiom ‘p if and only if q’, called the biconditional, amounts obviously to the conjunction of two conditionals, ‘if p then q’ and ‘if q then p’. 1961 R. R. Stoll Sets, Logic, & Axiomatic Theories ii. 58 The words ‘if and only if’ are used to obtain from two sentences a biconditional sentence. 1962 Gloss. Automatic Data Processing (B.S.I.) 30 Equivalence operation..bi-conditional. This entry has not yet been fully updated (first published 1972; most recently modified version published online September 2018). < n.1940
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