Truth Tables
A v B
T, T, T, F
P v Q; ~P; Q --> R / R
1) P V Q | Pr
2) ~P | Pr
3) Q --> R | Pr
4) ? | ?
5) R | ?
4) Q | 1, 2, DS
5) 3, 4, MP
Decode the message. What type of cipher is it? What is the rule?
IFMMP XPSME
Decoded: HELLO WORLD
Type: Caesar Cipher
Rule: Shift by one
What logical fallacy is this?
Person A: I will lower taxes by 5% if you vote for me.
Person B: Don't vote for him. He has a DUI so he can't be trusted.
Ad Hominem
Is the following Factually Correct, Valid, or Sound?
All dogs are animals.
All Pugs are dogs.
Therefore, all pugs are animals.
Sound
~(A v B)
F, T, T, T
P --> R; ~P --> (S v R); ~R / S
1) P --> R | Pr
2) ~P --> (S v R) | Pr
3) ~R | Pr
4) ? | ?
5) ? | ?
6) S | ?
4) P | 1, 3, MP
5) S v ~R | 2, 4, MT
6) 1, 5, DS
Decode the message. What type of cipher is it? What is the rule?
8 1 16 16 25, 14 5 23, 25 5 1 18
Decoded: HAPPY NEW YEAR
Type: Substitution
Rule: Number to Letter
What logical fallacy is this?
You can only hate math or love math.
Black & White
Is the following Factually Correct, Valid, or Sound?
No cats are dogs.
No dogs are cows.
Therefore, no cats are cows.
Factually Correct
(A v B) & ~A
F, F, T, F
~P & Q; (Q v R) --> (~S --> P) / S
1) ~P & Q | Pr
2) (Q v R) --> (~S --> P) | Pr
3) Q | ?
4) Q v R | ?
5) ~S --> P | ?
6) ~P | ?
7) ~~S | ?
8) S | ?
3) 1, Simp
4) 3, Add
5) 2, 4, MP
6) 1, Simp
7) 5, 6, MT
8) 7, DN
Decode the message. What type of cipher is it? What is the rule?
OGDO OMNRNIG
Decoded: GOOD MORNING
Type: Transposition
Rule:Group letters by 2 and witch them
What logical fallacy is this?
If you don't study for your math test then you will fail the test which means you will fail the class which means you will fail high school which means you won't get into college which means you won't be able to find a job which means you will become homeless.
Slippery Slope
Is the following Factually Correct, Valid, or Sound?
All dogs are reptiles.
All reptiles are from Mars.
Therefore, all dogs are from Mars.
Valid
(A & B) v C
T, T, T, F, T, F, T, F
P --> Q; P v R; ~Q / R & ~P
1) P --> Q | Pr
2) P v R | Pr
3) ~Q | Pr
4) ~P | 1, 3, MT
5) R | 2, 4, DS
6) R & ~P | 4, 5, Conj
Decode the message. What type of cipher is it? What is the rule?
PDA OYDKKH UAWN EO DWHB SWU ZKJA
Decoded: THE SCHOOL YEAR IS HALF WAY DONE
Type: Caesar Cipher
Rule: Shift by four backwards
What logical fallacy is this?
I like Star Wars because I am a Star Wars fan. I am a Star Wars fan because I like Star Wars.
Circular Reasoning
Is the following Factually Correct, Valid, or Sound?
Only bullfighters are macho.
Max is a bullfighter.
Therefore, Max is macho.
Invalid
~(A & B) v (C v ~B)
T, F, T, T, T, T, T, T
P <--> Q; P --> R; (~R --> ~Q) --> S / S
1) P <--> Q | Pr
2) P --> R | Pr
3) (~R --> ~Q) --> S | Pr
4) Q --> P | ?
5) Q --> R | ?
6) ~R --> ~Q | ?
7) S | ?
4) 1, BP
5) 2, 4, HS
6) 5, CP
7) 3, 6, MP
Decode the message. What type of cipher is it? What is the rule?
10, 76 22 22 40, 31 10 64, 64 22 73 22 49, 19 10 82 64
Decoded: A WEEK HAS SEVEN DAYS
Type: Substitution Cipher
Rule: Subtract 7, divide by 3, convert number to letter
What logical fallacy is this?
Out of the 300 people I asked if they liked the new Star Wars movie, I only reported the data of the Non-Star Wars Fans.
Cherry Picking
Is the following Factually Correct, Valid, or Sound?
If I go to work and I don't see my boss, then I will be happy at work today.
I went to work.
I didn't see my boss.
Therefore, I was happy at work today.