IF AN ITEM IS VALID (V), THEN SHOW THAT IT IS VIA PROOF OF VALIDITY (S); BUT IF IT IS NOT VALID. THEN FALSIFY THE CONSEQUENT (F). Therefore, if an item is not valid, then do not show that it is, or if the item is valid, then do not falsify the consequent. 4. If you love me then let me know (L, K). If you don't love me then let me go (G). You don't let me know. But you don't let me go. Therefore you love me and you don't love me if and only if you let me know and let me go.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.4: Solving Combined Inequalities
Problem 39WE
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IF AN ITEM IS VALID (V), THEN SHOW THAT IT IS VIA PROOF OF VALIDITY (S); BUT IF IT IS NOT
VALID. THEN FALSIFY THE CONSEQUENT (F). Therefore, if an item is not valid, then do not show
that it is, or if the item is valid, then do not falsify the consequent.
4. If you love me then let me know (L, K). If you don't love me then let me go (G). You don't let
me know. But you don't let me go. Therefore you love me and you don't love me if and only if
you let me know and let me go.
Transcribed Image Text:IF AN ITEM IS VALID (V), THEN SHOW THAT IT IS VIA PROOF OF VALIDITY (S); BUT IF IT IS NOT VALID. THEN FALSIFY THE CONSEQUENT (F). Therefore, if an item is not valid, then do not show that it is, or if the item is valid, then do not falsify the consequent. 4. If you love me then let me know (L, K). If you don't love me then let me go (G). You don't let me know. But you don't let me go. Therefore you love me and you don't love me if and only if you let me know and let me go.
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