Chapter 1: Logic and Proofs Flashcards

(9 cards)

1
Q

A ________ is a declarative sentence (That is, a sentence that declares a fact) that is either sure or false , but not both.

A

Proposition

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Conjunction (Think of a highway junction) ^

A

The proposition “p and q”

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Disjunction (Think of “There’s an issue with one of these sides”) V

A

The proposition “p or q”

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

A disjunction is true when _________ propositions is true.

A

At least one of the two.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

The converse of p -> q is ______.

A

q -> p

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

The contrapositive of p -> q is the proposition ________.

A

-q -> -p

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

The inverse of p -> q is _____

A

-p -> -q

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

P -> Q , the proposition “p if and only if q” is the ________ _________.

A

Biconditional Statement

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

A ____ _____ is a sequence of zero or more bits. The _____ of this string is the number of bits in the string.

A

Bit String

Length

How well did you know this?
1
Not at all
2
3
4
5
Perfectly