In logic and related fields such as mathematics and philosophy, "if and only if" (shortened as "iff") is a biconditional logical connective between statements, where either both statements are true or both are false.
The connective is biconditional (a statement of material equivalence), and can be likened to the standard material conditional ("only if", equal to "if ... then") combined with its reverse ("if"); hence the name. The result is that the truth of either one of the connected statements requires the truth of the other (i.e. either both statements are true, or both are false), though it is controversial whether the connective thus defined is properly rendered by the English "if and only if"—with its pre-existing meaning. For example, P if and only if Q means that P is true whenever Q is true, and the only case in which P is true is if Q is also true, whereas in the case of P if Q, there could be other scenarios where P is true and Q is false.
In writing, phrases commonly used as alternatives to P "if and only if" Q include: Q is necessary and sufficient for P, for P it is necessary and sufficient that Q, P is equivalent (or materially equivalent) to Q (compare with material implication), P precisely if Q, P precisely (or exactly) when Q, P exactly in case Q, and P just in case Q. Some authors regard "iff" as unsuitable in formal writing; others consider it a "borderline case" and tolerate its use.In logical formulae, logical symbols, such as
↔
{\displaystyle \leftrightarrow }
and
⇔
{\displaystyle \Leftrightarrow }
, are used instead of these phrases; see § Notation below.
Luke 2:1 And it came to pass in those days, that there went out a decree from Caesar Augustus, that all the world should be taxed. Nangyari nga nang mga araw na yaon na lumabas ang isang utos mula kay Augusto Cesar, na magpatala ang buong sanglibutan.
Luke 2:2 (And this taxing was first made...
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Repent at my rebuke! Then I will pour out my thoughts to you, I will make known to you my teachings.
Proverbs 1:23
Do not lie to each other, since you have taken off your old self with its practices and have put on the new self, which is being renewed in knowledge in the image of its Creator...
1 John 1:9 If we confess our sins, he is faithful and just to forgive us our sins, and to cleanse us from all unrighteousness. Kung ipinahahayag natin ang ating mga kasalanan, ay tapat at banal siya na tayo'y patatawarin sa ating mga kasalanan, at tayo'y lilinisin sa lahat ng kalikuan.
PRAYER...
John 14:6 Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me. Sinabi sa kaniya ni Jesus, Ako ang daan, at ang katotohanan, at ang buhay: sinoman ay di makaparoroon sa Ama, kundi sa pamamagitan ko.
PRAYER OF ACCEPTANCE
Panginoong Diyos, aming...
In the past God overlooked such ignorance, but now he commands all people everywhere to repent.
Acts 17:30
Brothers and sisters, if someone is caught in a sin, you who live by the Spirit should restore that person gently. But watch yourselves, or you also may be tempted.
Galatians 6:1
Come back...
2 Corinthians 5:11 Knowing therefore the terror of the Lord, we persuade men; but we are made manifest unto God; and I trust also are made manifest in your consciences. Yamang nalalaman nga ang pagkatakot sa Panginoon, ay aming hinihikayat ang mga tao, nguni't kami ay nangahahayag sa Dios; at...
Luke 10:19 Behold, I give unto you power to tread on serpents and scorpions, and over all the power of the enemy: and nothing shall by any means hurt you. Narito, binigyan ko kayo ng kapamahalaan na inyong yurakan ang mga ahas at ang mga alakdan, at sa ibabaw ng lahat ng kapangyarihan ng kaaway...
Those whom I love I rebuke and discipline. So be earnest and repent.
Revelation 3:19
Repent! Turn away from all your offenses; then sin will not be your downfall.
Ezekiel 18:30
Do not offer any part of yourself to sin as an instrument of wickedness, but rather offer yourselves to God as those...
Ephesians 6:11 Put on the whole armour of God, that ye may be able to stand against the wiles of the devil. Mangagbihis kayo ng buong kagayakan ng Dios, upang kayo'y magsitibay laban sa mga lalang ng diablo.
PRAYER OF ACCEPTANCE
Panginoong Diyos, aming Amang makapangyarihan sa lahat, sa...
“Even now,” declares the Lord, “return to me with all your heart, with fasting and weeping and mourning.”
Joel 2:12
Those whom I love I rebuke and discipline. So be earnest and repent.
Revelation 3:19
Repent! Turn away from all your offenses; then sin will not be your downfall.
Ezekiel 18:30b...
Matthew 24:13 But he that shall endure unto the end, the same shall be saved. Datapuwa't ang magtitiis hanggang sa wakas ay siyang maliligtas.
John 14:6 Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me. Sinabi sa kaniya ni Jesus, Ako ang...
Matthew 4:13 And leaving Nazareth, he came and dwelt in Capernaum, which is upon the sea coast, in the borders of Zabulon and Nephthalim: At pagkaiwan sa Nazaret, ay naparoon siya at tumahan sa Capernaum, na nasa tabi ng dagat, sa mga hangganan ng Zabulon at Neftali:
John 14:6 Jesus saith...
Jeremiah 29:11 For I know the thoughts that I think toward you, saith the LORD, thoughts of peace, and not of evil, to give you an expected end. Sapagka't nalalaman ko ang mga pagiisip na aking iniisip sa inyo, sabi ng Panginoon, mga pagiisip tungkol sa kapayapaan, at hindi tungkol sa kasamaan...
“The time has come,” he said. “The kingdom of God has come near. Repent and believe the good news!”
Mark 1:15kingdomrepentancefaith
‘Return to me,’ declares the Lord Almighty, ‘and I will return to you,’ says the LordAlmighty.
Zechariah 1:3brepentancereliabilityobedience
But if a wicked person...
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JUAN 3:16 For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have enternal life.
Sapagkat gayon na lamang ang pag-ibig ng Diyos sa sangka-katauhan, kaya't ibinigay niya ang kanyang Kaisa-isang Anak, Upang ang sinumang Sumampalataya sa kanya...
SA PAMAMAGITAN KO, HAHABA ANG IYONG MGA ARAW DAHIL SA AKIN, LALAWIG ANG IYONG BUHAY.
KAWIKAAN 9:11
PRAYER OF ACCEPTANCE
Panginoong Diyos, aming Amang makapangyarihan sa lahat, sa Pangalan ng Inyong Anak na si Hesus, ako ay nagsusuko na ng buhay sa Inyo. Inaamin ko na ako ay makasalanan at...
From that time on Jesus began to preach, “Repent, for the kingdom of heaven has come near.”
Matthew 4:17Jesusevangelismheaven
I have swept away your offenses like a cloud,your sins like the morning mist. Return to me,for I have redeemed you.
Isaiah 44:22sinsalvationredeemer
Let the wicked...
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John 14:6 Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me. Sinabi sa kaniya ni Jesus, Ako ang daan, at ang katotohanan, at ang buhay: sinoman ay di makaparoroon sa Ama, kundi sa pamamagitan ko.
Explanation: Malinaw na sinasabi ni CRISTO...
Philippians 4:13 I can do all things through Christ which strengtheneth me. Lahat ng mga bagay ay aking magagawa doon sa nagpapalakas sa akin.
PRAYER OF ACCEPTANCE
Panginoong Diyos, aming Amang makapangyarihan sa lahat, sa Pangalan ng Inyong Anak na si Hesus, ako ay nagsusuko na ng buhay sa...
From that time on Jesus began to preach, “Repent, for the kingdom of heaven has come near.”
Matthew 4:17Jesusevangelismheaven
I have swept away your offenses like a cloud,your sins like the morning mist. Return to me,for I have redeemed you.
Isaiah 44:22sinsalvationredeemer
Let the wicked...
I have not come to call the righteous, but sinners to repentance.
Luke 5:32sinrepentanceJesus
I tell you that in the same way there will be more rejoicing in heaven over one sinner who repents than over ninety-nine righteous persons who do not need to repent.
Luke 15:7repentancejoyheaven...
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Romans 6:23 For the wages of sin is death; but the gift of God is eternal life through Jesus Christ our Lord. Sapagka't ang kabayaran ng kasalanan ay kamatayan; datapuwa't ang kaloob na walang bayad ng Dios ay buhay na walang hanggan kay Cristo Jesus na Panginoon natin.
PRAYER OF ACCEPTANCE...
John 3:16 For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life. Sapagka't gayon na lamang ang pagsinta ng Dios sa sanglibutan, na ibinigay niya ang kaniyang bugtong na Anak, upang ang sinomang sa kaniya'y...
John 14:6 Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me. Sinabi sa kaniya ni Jesus, Ako ang daan, at ang katotohanan, at ang buhay: sinoman ay di makaparoroon sa Ama, kundi sa pamamagitan ko.
PRAYER OF ACCEPTANCE
Panginoong Diyos, aming...
Romans 6:23 For the wages of sin is death; but the gift of God is eternal life through Jesus Christ our Lord. Sapagka't ang kabayaran ng kasalanan ay kamatayan; datapuwa't ang kaloob na walang bayad ng Dios ay buhay na walang hanggan kay Cristo Jesus na Panginoon natin.
John 3:16 For God so...
I have not come to call the righteous, but sinners to repentance.
Luke 5:32sinrepentanceJesus
I tell you that in the same way there will be more rejoicing in heaven over one sinner who repents than over ninety-nine righteous persons who do not need to repent.
Luke 15:7repentancejoyheaven...
Romans 6:23 For the wages of sin is death; but the gift of God is eternal life through Jesus Christ our Lord. Sapagka't ang kabayaran ng kasalanan ay kamatayan; datapuwa't ang kaloob na walang bayad ng Dios ay buhay na walang hanggan kay Cristo Jesus na Panginoon natin.
PRAYER OF ACCEPTANCE...
John 14:6 Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me. Sinabi sa kaniya ni Jesus, Ako ang daan, at ang katotohanan, at ang buhay: sinoman ay di makaparoroon sa Ama, kundi sa pamamagitan ko.
PRAYER OF ACCEPTANCE
Panginoong Diyos, aming...
Matthew 6:33 But seek ye first the kingdom of God, and his righteousness; and all these things shall be added unto you. Datapuwa't hanapin muna ninyo ang kaniyang kaharian, at ang kaniyang katuwiran; at ang lahat ng mga bagay na ito ay pawang idaragdag sa inyo.
PRAYER OF ACCEPTANCE
Panginoong...
Juan 1:18 “Walang taong nakakita kailan man sa Dios; ang bugtong na Anak, na nasa sinapupunan ng Ama, siya ang nagpakilala sa kanya.”
PRAYER OF ACCEPTANCE
Panginoong Diyos, aming Amang makapangyarihan sa lahat, sa Pangalan ng Inyong Anak na si Hesus, ako ay nagsusuko na ng buhay sa Inyo...
Rend your heart and not your garments.Return to the Lord your God, for he is gracious and compassionate, slow to anger and abounding in love, and he relents from sending calamity.
Joel 2:13heartgracelove
Peter replied, “Repent and be baptized, every one of you, in the name of Jesus Christ for...