Given the premises: If the steak is well done, it’s overcooked. If the steak is overcooked, the fire alarm will go off. Either the batteries have been changed or the fire alarm will not go off. The batteries have only been changed if the ladder is in the room. The ladder is not in the room. Conclude that the steak is not well done. I believe the solution is correct, but I am having trouble reading the steps. Could you write the steps neatly for me please. Thank you.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Given the premises:

    1. If the steak is well done, it’s overcooked.
    2. If the steak is overcooked, the fire alarm will go off.
    3. Either the batteries have been changed or the fire alarm will not go off.
    4. The batteries have only been changed if the ladder is in the room.
    5. The ladder is not in the room.

Conclude that the steak is not well done.

I believe the solution is correct, but I am having trouble reading the steps. Could you write the steps neatly for me please.

Thank you.

Solution let p: The steak is well done
9: The Steak is overcooked
Symbolic form
The fire alarm will gº off
5- The batteries have been changed
The ladder is in the room.
Proof pr [Hypothetical Syllogism of premise and
| Jº
१५४
"p
-
pa
Ⓒar
SV ur
5 +
"t
:. ~p
per
s [Modus Tollens of premise in and
svar.. [Premise]
ng
* [Disjunctive Syllogism of and Ⓡ
- Hence, proved.
[Modus Tollens of and
P+Q
"q
Lup
Pvq
up
: 2
pa ]
nq
úp
]
Transcribed Image Text:Solution let p: The steak is well done 9: The Steak is overcooked Symbolic form The fire alarm will gº off 5- The batteries have been changed The ladder is in the room. Proof pr [Hypothetical Syllogism of premise and | Jº १५४ "p - pa Ⓒar SV ur 5 + "t :. ~p per s [Modus Tollens of premise in and svar.. [Premise] ng * [Disjunctive Syllogism of and Ⓡ - Hence, proved. [Modus Tollens of and P+Q "q Lup Pvq up : 2 pa ] nq úp ]
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