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Discrete Mathematical Structures
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Can you name the Discrete Mathematical Structures?
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dcklingensmith
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Hint
Answer
p ∧ T = p
p ∨ F = p
p ∨ T = T
p ∧ F = F
p ∨ p = p
p ∧ p = p
¬(¬p) = p
p ∨ q = q ∨ p
p ∧ q = q ∧ p
(p ∨ q) ∨ r = p ∨ (q ∨ r)
(p ∧ q) ∧ r = p ∧ (q ∧ r)
p ∨ (q ∧ r) = (p ∨ q) ∧ (p ∨ r)
p ∧ (q ∨ r) = (p ∧ q) ∨ (p ∧ r)
¬(p ∧ q) = ¬p ∨ ¬q
¬(p ∨ q) = ¬p ∧ ¬q
p ∨ (p ∧ q) = p
p ∧ (p ∨ q) = p
p ∨ ¬p = T
p ∧ ¬p = F
¬p ∨ q = p → q
Converse of: p → q
Inverse of: p → q
Contrapositive of: p → q
Table showing all posible combination of truth values
'AND, OR, NOT' are examples of ____
...Which are also called
↔, →, ¬ ∨, and ∧, are examples of ____
Hint
Answer
∀ is the
∀ is spoken
∃ is the
∃ is spoken
∈
∉
∧
∨
→
p ↔ q
U
{}
ø
{ø}
{1}
Number of elements in a set
A
'' A single pipe
Hint
Answer
A set is said to be infinite if ____
Set of all subsets
⊆
∪
∩
℘
Compound statement which is always true
Compound statement which is always false
Compound statement which is sometimes true
x:
Set of positive integers
Set of real numbers
Set of rational numbers
Set of natural numbers
Set of integers
Finite sets/sets with same cardinality as set of N
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