1. For Rhodes, throffers can not merely be biconditional proposals. 2. Thus whenever a theorem and its reciprocal are true we have a biconditional . 3. "' Biconditional elimination "'is the name of two biconditional. 4. "' Biconditional elimination "'is the name of two biconditional . 5. The plain English " if'" may sometimes be used as a biconditional . 6. Except for negation and biconditional , its truth tables are all different from the above. 7. The negation of XOR is logical biconditional , which outputs true only when both inputs are the same. 8. These unexpected truths arise because speakers of English ( and other natural languages ) are tempted to material biconditional . 9. In that case, in the conditional, the result is true, yet in the biconditional the result is false. 10. Intuitively, the right side of the biconditional says that A's failing to hold necessarily ( or strictly ) implies a sanction.
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