Math as a language

Question 1

When is a disjunction false?

Answer 1

False only when both propositions are false

Question 2

Process of making general conclusion based on specific examples

Answer 2

Inductive reasoning

Question 3

When is a conditional proposition false?

Answer 3

When hypothesis is true and conclusion is false

Question 4

Converse

Answer 4

p => q is q => p
Swap only, no negate

Question 5

Process of making specific conclusion based on general principles

Answer 5

Deductive reasoning

Question 6

Inverse and logically equiv

Answer 6

Inverse is not logically equiv

Question 7

Ability of a person to analyze problem situations and construct logical arguments to create both conceptual foundations and connections to be able to process the available info and solve the prob

Answer 7

reasoning

Question 8

Systematic means of communicating by the use of sounds/conventional symbols

Answer 8

Language

Question 9

Inverse

Answer 9

p => q is -p => -q
negate only, no swap

Question 10

Biconditional propositions

Answer 10

p <=> q is also equal to (p => q) ^ (q => p)

Question 11

A statement that can be shown to be T

Answer 11

Theorem

Question 12

When is a conjunction true?

Answer 12

True only when both propositions are true

Question 13

Morgan’s Law

Answer 13

The value of - (p v - q) is the same as -p ^ q

Distribute the negation, invert the v or ^

Question 14

Contrapositive

Answer 14

p => q is -q => -p
Negate and swap

Question 15

If p and q are propositions, new (____) propositions can be formed using _____

Answer 15

Compound, connectives

Question 16

Double implication

Answer 16

Biconditional proposition (p if and only if q)

Question 17

If p then q

Answer 17

Conditional proposition | p = premise/hypothesis, q = consequent / conclusion

Question 18

Contrapositive and logically equiv?

Answer 18

Contrapositive is logically equivalent. That’s y U can prove either implication or it’s Contrapositive

Question 19

Biconditional and logically equiv

Answer 19

2 propositions r and s are logically equiv if r <=> s is always T

Question 20

p v -p is always true

Answer 20

True

Question 21

^ = ? v = ?

Answer 21

^ = and (conjunction)
v = or (disjunction)

Question 22

A compound proposition that is always T

Answer 22

Tautology

Question 23

2 Propositions are said to be logically equivalent if?

Answer 23

If both T tables are identical

Question 24

To show that a theorem is T, we construct a sequence of statements that form an argument called ___

Answer 24

Proof

Question 25

Declarative sentences that’s either T/F but not both

Answer 25

Proposition/statements

Question 26

A compound proposition that is always F

Answer 26

Contradiction

Question 27

Examples of contingency

Answer 27

Inverse, converse, Biconditional

Question 28

Neither a tautology nor a contradiction

Answer 28

Contingency (mix of T and F)

Question 29

Formula for the combination of truth table

Answer 29

2 ^ n, n = # of propositions

Question 30

Converse and logically equiv

Answer 30

Converse is not logically equiv