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MATHWORLD 7 MATHEMATICAL LOGIC, Slides of Mathematics

Holy Angel University (HAU)Mathematics

MATHWORLD 7 MATHEMATICAL LOGIC

Typology: Slides

2023/2024

Available from 02/20/2024

rowenalen-santos 🇵🇭

19 documents

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THE ANGELITE PRAYER

Almighty God, we glorify You for giving us

the Angelite Charism. We thank You for the gift of

your Son, Jesus Christ, who is the Way, Truth, and

Life. We bless you for the continuous guidance of

the Holy Spirit.

Grant us, we pray, courage and strength

that we may give perpetual praise to You in

whatever we do. We ask this through Christ, our

Lord. Amen.

Oh, Holy Guardian Angels, guide us and

protect us! Laus Deo semper!

Partial preview of the text

Download MATHWORLD 7 MATHEMATICAL LOGIC and more Slides Mathematics in PDF only on Docsity!

THE ANGELITE PRAYER

Almighty God, we glorify You for giving us

the Angelite Charism. We thank You for the gift of

your Son, Jesus Christ, who is the Way, Truth, and

Life. We bless you for the continuous guidance of

the Holy Spirit.

Grant us, we pray, courage and strength

that we may give perpetual praise to You in

whatever we do. We ask this through Christ, our

Lord. Amen.

Oh, Holy Guardian Angels, guide us and

protect us! Laus Deo semper!

PROPOSITION ❑A declarative sentence which is either true or false, but not both Representation: p, q, r

PROPOSITION

1. Wuhan is the capital city of China.

2. Mt. Mayon is located in Bicol and Mt. Arayat is in

Pampanga.

1. Why do college students cheat during exam?

2. Run, jump, make noise but do not sin.

NOT PROPOSITION

Negation Conjunction Disjunction ¬ or ~ ∧ ∨ not and or ¬ p p ∧ q p ∨ q

Let p and q be simple propositions.

BASIC LOGICAL OPERATIONS Translate it into symbolic form. 12 is not a multiple of 4. Let p: 12 is a multiple of 4. Answer: ¬ p

BASIC LOGICAL OPERATIONS Translate it into symbolic form. Fibonacci means “son of Bonaccio” or Pisano originates from Pisa, Italy.

Let p: Fibonacci means “son of Bonaccio”.

q: Pisano originates from Pisa, Italy.

Answer: p ∨ q

BASIC LOGICAL OPERATIONS Translate the proposition in its symbolic form.

COVID-19 stands for corona virus disease 2019 or Covid- 19

did not originate in India.

Let p: COVID-19 stands for corona virus disease 2019 q: Covid-19 originated in India. Answer: p ∨ ¬ q

CONDITIONAL STATEMENT

 p → q

If p, then q.

p implies q.

p only if q.

q if p.

CONDITIONAL STATEMENT

Translate it into symbolic form.

If PhilHealth chief resigned amid corruption mess, then the PhilHealth members are worried about looming bankruptcy. Let p: PhilHealth chief resigned amid corruption mess. q: The PhilHealth members are worried about looming bankruptcy. Answer: p → q

 Given: p → q Converse q → p Inverse ¬ p → ¬ q Contrapositive ¬ q → ¬ p

State the converse, inverse and contrapositive of

the conditional statement.

1. If SONA is held every 4th Monday of July, then

President Duterte delivers his 5th SONA.

Let p: SONA is held every 4th Monday of July. q: President Duterte delivers his 5th SONA. Converse q → p Inverse ¬ p → ¬ q Contrapositive ¬ q → ¬ p

BICONDITIONAL STATEMENT  p ↔ q p if and only if q Transform it in symbolic form

1. An angle is right if and only if it measures 90 degrees. Let p: An angle is right. q: It (the angle) measures 90 degrees. Answer: p ↔ q

Requirements

MATHWORLD 7 MATHEMATICAL LOGIC, Slides of Mathematics

Related documents

Partial preview of the text

Download MATHWORLD 7 MATHEMATICAL LOGIC and more Slides Mathematics in PDF only on Docsity!

THE ANGELITE PRAYER

Almighty God, we glorify You for giving us

the Angelite Charism. We thank You for the gift of

your Son, Jesus Christ, who is the Way, Truth, and

Life. We bless you for the continuous guidance of

the Holy Spirit.

Grant us, we pray, courage and strength

that we may give perpetual praise to You in

whatever we do. We ask this through Christ, our

Lord. Amen.

Oh, Holy Guardian Angels, guide us and

protect us! Laus Deo semper!

1. Wuhan is the capital city of China.

2. Mt. Mayon is located in Bicol and Mt. Arayat is in

Pampanga.

1. Why do college students cheat during exam?

2. Run, jump, make noise but do not sin.

Let p and q be simple propositions.

Let p: Fibonacci means “son of Bonaccio”.

q: Pisano originates from Pisa, Italy.

COVID-19 stands for corona virus disease 2019 or Covid- 19

did not originate in India.

CONDITIONAL STATEMENT

 p → q

If p, then q.

p implies q.

p only if q.

q if p.

Translate it into symbolic form.

State the converse, inverse and contrapositive of

the conditional statement.

1. If SONA is held every 4th Monday of July, then

President Duterte delivers his 5th SONA.

 CS Assessment: Problem Set Mathematical

Symbols and Logic (February 10, 2021)

 QUIZ # 1 (February 11, 2021)