Truth Table for A unless B , or A , only if B ?

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SUMMARY

The discussion focuses on the logical connectives "A unless B" and "A only if B" as they pertain to LSAT Logic Games. Participants clarify that both connectives are true when both inputs are either true or false, exemplified by the statements "I don't sleep unless I'm tired" and "I sleep only if I'm tired." The implication derived from these statements is that "If I sleep, then I'm tired," which is false only when one sleeps without being tired. This understanding is crucial for mastering logical reasoning in LSAT preparation.

PREREQUISITES
  • Understanding of binary connectives in logic
  • Familiarity with logical implications and truth values
  • Basic knowledge of LSAT Logic Games format
  • Ability to construct and interpret truth tables
NEXT STEPS
  • Study the construction of truth tables for various logical connectives
  • Learn about logical equivalences and their applications in reasoning
  • Practice LSAT Logic Games focusing on conditional statements
  • Explore the implications of "unless" and "only if" in complex logical scenarios
USEFUL FOR

Students preparing for the LSAT, educators teaching logical reasoning, and anyone interested in mastering logical connectives and their applications in problem-solving.

Bacle2
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Truth Table for "A unless B", or "A , only if B"?

Hi, All:

My friend is preparing for the LSAT's, and he asked me to help her with the Logic Games
part.

Two of the binary connectives often used in those games are 'unless', and 'only if'. I guess I'm being kind of lazy , hoping someone has already run into these two. I assume both of these connectives are true exactly when both inputs are true or both inputs are false, as in: " I don't sleep unless I'm tired", or "I sleep only of I'm tired". Then, it would seem. Is this a correct description?

Thanks.
 
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Bacle2 said:
Hi, All:

My friend is preparing for the LSAT's, and he asked me to help her with the Logic Games
part.

Two of the binary connectives often used in those games are 'unless', and 'only if'. I guess I'm being kind of lazy , hoping someone has already run into these two. I assume both of these connectives are true exactly when both inputs are true or both inputs are false, as in: " I don't sleep unless I'm tired", or "I sleep only of I'm tired". Then, it would seem. Is this a correct description?

Thanks.

These are both equivalent to: If I sleep then I'm tired. This implacation is only false
if you sleep while you're not tired
 


Thanks, Willem2. 2's rule!
 

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