Question 1

Symbolize, using the indicated letters:
-Only mathematicians are scientists, and none but philosophers are mathematicians.

Accepted Answer

The answer of Symbolize, using the indicated letters:
-Only mathematicians are...

Question 2

Symbolize, using the indicated letters:
-If any students pass, then they studied hard. (Hx = "x studied hard".)

Accepted Answer

The answer of Symbolize, using the indicated letters:
-If any students...

Question 3

Symbolize, using the indicated letters:
-If all students are good logicians, then they all will pass. (Sx = "x is a student"; Gx = "x is a good logician"; Px = "x will pass".)

Accepted Answer

The answer of Symbolize, using the indicated letters:
-If all students...

Question 4

General theory:
-What sentence contradicts "No just acts are acts that cause pain"?

Accepted Answer

A)  All just acts are acts that cause pain. 
B)  Some just acts are acts that cause pain. 
C)  Some just acts are acts that do not cause pain. 
D)  No acts that cause pain are just acts. 
E)  None of these. 
A)  All just acts are acts that cause pain. 
B)  Some just acts are acts that cause pain. 
C)  Some just acts are acts that do not cause pain. 
D)  No acts that cause pain are just acts. 
E)  None of these.

Question 5

Symbolize, using the indicated letters:
-Some students are good logicians, but are such that they won't pass unless they study hard.

Accepted Answer

The answer of Symbolize, using the indicated letters:
-Some students are...

Question 6

Symbolize, using the indicated letters:
-Some students are neither good logicians nor good writers, but some students are both. (Wx = "x is a good writer".)

Accepted Answer

The answer of Symbolize, using the indicated letters:
-Some students are...

Question 7

Translations.
Translate the following into English, being a colloquial as possible. Use same symbols as above, i.e., let Sx = "x is a student"; Cx = "x is caught cheating"; Ex = "x will be expelled"; Gx = "x is a good logician"; Px = "x will pass"; Hx = "x studied hard"; Wx = "x is a good writer"; and let Ax = "x is angry"; Yx = "x is happy"; a = Alice; b = Burt.
-

Accepted Answer

If a student is caug

Question 8

General theory:
-Which sentence is equivalent to   ?

Accepted Answer

A)    
B)    
C)    
D)  None of these 
A)    
B)    
C)    
D)  None of these

Question 9

Translations.
Translate the following into English, being a colloquial as possible. Use same symbols as above, i.e., let Sx = "x is a student"; Cx = "x is caught cheating"; Ex = "x will be expelled"; Gx = "x is a good logician"; Px = "x will pass"; Hx = "x studied hard"; Wx = "x is a good writer"; and let Ax = "x is angry"; Yx = "x is happy"; a = Alice; b = Burt.
-

Accepted Answer

An angry student wil

Question 10

Symbolize, using the indicated letters:
-If all students pass, then at least some of them are good logicians.

Accepted Answer

The answer of Symbolize, using the indicated letters:
-If all students...

Question 11

Translations.
Translate the following into English, being a colloquial as possible. Use same symbols as above, i.e., let Sx = "x is a student"; Cx = "x is caught cheating"; Ex = "x will be expelled"; Gx = "x is a good logician"; Px = "x will pass"; Hx = "x studied hard"; Wx = "x is a good writer"; and let Ax = "x is angry"; Yx = "x is happy"; a = Alice; b = Burt.
-

Accepted Answer

If all students stud

Question 12

Symbolize, using the indicated letters:
-Some mathematicians and (some) philosophers are scientists.

Accepted Answer

The answer of Symbolize, using the indicated letters:
-Some mathematicians and...

Question 13

Translations.
Translate the following into English, being a colloquial as possible. Use same symbols as above, i.e., let Sx = "x is a student"; Cx = "x is caught cheating"; Ex = "x will be expelled"; Gx = "x is a good logician"; Px = "x will pass"; Hx = "x studied hard"; Wx = "x is a good writer"; and let Ax = "x is angry"; Yx = "x is happy"; a = Alice; b = Burt.
-

Accepted Answer

No student

Question 14

Symbolize, using the indicated letters:
-No mathematician philosophers are scientists. (Mx = "x is a mathematician"; Px = "x is a philosopher"; Sx = "x is a scientist".)

Accepted Answer

The answer of Symbolize, using the indicated letters:
-No mathematician philosophers...

Question 15

General theory:
-Symbolize "No whales are fish" a) when the domain is whales, and b) when the domain is unrestricted (using obvious abbreviations).

Accepted Answer

The answer of General theory:
-Symbolize "No whales are fish" a)...

Question 16

General theory:
-Which of the following are sentences?

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 17

General theory:
-Symbolize "Some mammals are not four-legged" a) when the domain is mammals and b) when the domain is unrestricted (using obvious abbreviations).

Accepted Answer

The answer of General theory:
-Symbolize "Some mammals are not four-legged"...

Question 18

Symbolize, using the indicated letters:
-All mathematicians and philosophers are either non-philosophers or non-scientists.

Accepted Answer

The answer of Symbolize, using the indicated letters:
-All mathematicians and...

Question 19

Symbolize, using the indicated letters:
-If a student is a good logician, then he or she will pass.

Accepted Answer

The answer of Symbolize, using the indicated letters:
-If a student...

Question 20

General theory:
-Which of the following are sentences?

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Symbolize, using the indicated letters: -Only mathematicians are scientists, and none but philosophers are mathematicians.

Symbolize, using the indicated letters: -If any students pass, then they studied hard. (Hx = "x studied hard".)

Symbolize, using the indicated letters: -If all students are good logicians, then they all will pass. (Sx = "x is a student"; Gx = "x is a good logician"; Px = "x will pass".)

General theory: -What sentence contradicts "No just acts are acts that cause pain"?

Symbolize, using the indicated letters: -Some students are good logicians, but are such that they won't pass unless they study hard.

Symbolize, using the indicated letters: -Some students are neither good logicians nor good writers, but some students are both. (Wx = "x is a good writer".)

General theory: -Which sentence is equivalent to ?

Symbolize, using the indicated letters: -If all students pass, then at least some of them are good logicians.

Symbolize, using the indicated letters: -Some mathematicians and (some) philosophers are scientists.

Symbolize, using the indicated letters: -No mathematician philosophers are scientists. (Mx = "x is a mathematician"; Px = "x is a philosopher"; Sx = "x is a scientist".)

General theory: -Symbolize "No whales are fish" a) when the domain is whales, and b) when the domain is unrestricted (using obvious abbreviations).

General theory: -Which of the following are sentences?

General theory: -Symbolize "Some mammals are not four-legged" a) when the domain is mammals and b) when the domain is unrestricted (using obvious abbreviations).

Symbolize, using the indicated letters: -All mathematicians and philosophers are either non-philosophers or non-scientists.

Symbolize, using the indicated letters: -If a student is a good logician, then he or she will pass.

General theory: -Which of the following are sentences?

Introduction

Symbolizing in Sentential Logic

Truth Tables

Proofs Without CP or IP

Proofs With CP or IP

Sentential Logic Truth Trees

Predicate Logic Semantics

Predicate Logic Proofs

Relational Predicate Logic

Quantifier Rules Theory

Predicate Logic Truth Trees

Identity

Syllogistic Logic

Informal Fallacies

Inductive Logic

Axiom Systems

Filters

Exam 7: Predicate Logic Symbolization

Symbolize, using the indicated letters: -Only mathematicians are scientists, and none but philosophers are mathematicians.

Symbolize, using the indicated letters: -If any students pass, then they studied hard. (Hx = "x studied hard".)

Symbolize, using the indicated letters: -If all students are good logicians, then they all will pass. (Sx = "x is a student"; Gx = "x is a good logician"; Px = "x will pass".)

General theory: -What sentence contradicts "No just acts are acts that cause pain"?

Symbolize, using the indicated letters: -Some students are good logicians, but are such that they won't pass unless they study hard.

Symbolize, using the indicated letters: -Some students are neither good logicians nor good writers, but some students are both. (Wx = "x is a good writer".)

General theory: -Which sentence is equivalent to ?

Symbolize, using the indicated letters: -If all students pass, then at least some of them are good logicians.

Symbolize, using the indicated letters: -Some mathematicians and (some) philosophers are scientists.

Symbolize, using the indicated letters: -No mathematician philosophers are scientists. (Mx = "x is a mathematician"; Px = "x is a philosopher"; Sx = "x is a scientist".)

General theory: -Symbolize "No whales are fish" a) when the domain is whales, and b) when the domain is unrestricted (using obvious abbreviations).

General theory: -Which of the following are sentences?

General theory: -Symbolize "Some mammals are not four-legged" a) when the domain is mammals and b) when the domain is unrestricted (using obvious abbreviations).

Symbolize, using the indicated letters: -All mathematicians and philosophers are either non-philosophers or non-scientists.

Symbolize, using the indicated letters: -If a student is a good logician, then he or she will pass.

General theory: -Which of the following are sentences?

Introduction

Symbolizing in Sentential Logic

Truth Tables

Proofs Without CP or IP

Proofs With CP or IP

Sentential Logic Truth Trees

Predicate Logic Semantics

Predicate Logic Proofs

Relational Predicate Logic

Quantifier Rules Theory

Predicate Logic Truth Trees

Identity

Syllogistic Logic

Informal Fallacies

Inductive Logic

Axiom Systems

Filters