I prefer to let Scripture do my talking, and this is for "those who have ears to hear" ...
These 2 verses show “the promise” refers to the Holy Spirit baptism.
”Behold, I send the promise of My Father upon you; but tarry in the city of
Jerusalem until you are endued with power from on high.” (Luke 24:49)
”… wait for the promise of the Father … you shall be baptized with the Holy Spirit not many days from now.
… you shall receive power when the Holy Spirit has come upon you;
and you shall be witnesses to Me … to the end of the earth.” (Acts 1:4-8)
And these 2 verses show “the gift” also refers to the Holy Spirit baptism.
“… the Holy Spirit fell upon all those (Gentiles) who heard the word
… the gift of the Holy Spirit had been poured out on the Gentiles also.
For they (Peter and his companions) heard them speak with tongues and magnify God.
Then Peter asked, ‘Can anyone forbid water, that these should not be
baptized (in water) who have received the Holy Spirit just as we have?’
And he commanded them to be (water) baptized in the name of the Lord.“ (Acts 10:44-48)
“… the Holy Spirit fell upon them (the Gentiles), as upon us (the Jews) at the beginning.
Then I remember the word of the Lord, how He said, ‘John indeed baptized with water,
but you shall be baptized with the Holy Spirit.’ … God gave them the same gift
as He gave us when we believed on the Lord Jesus Christ” (Acts 11:15-17)
Now, concerning the Day of Pentecost
Acts 2:
1 When the Day of Pentecost had fully come, they were all with one accord in one place.
2 And suddenly there came a sound from heaven, as of a rushing mighty wind,
and it filled the whole house where they were sitting.
3 Then there appeared to them divided tongues, as of fire, and one sat upon each of them.
4 And they were all filled with the Holy Spirit and began to speak with other tongues, as the Spirit gave them utterance.
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16 But this is what was spoken by the prophet Joel:
17 ‘And it shall come to pass in the last days, says God, that I will pour out of My Spirit on all flesh;
your sons and your daughters shall prophesy, your young men shall see visions, your old men shall dream dreams.
18 And on My menservants and on My maidservants I will pour out My Spirit in those days; and they shall prophesy.
19 I will show wonders in heaven above and signs in the earth beneath: blood and fire and vapor of smoke.
20 The sun shall be turned into darkness, and the moon into blood, before the coming of the great and awesome day of the LORD.
21 And it shall come to pass that whoever calls on the name of the LORD shall be saved.’
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33 Therefore being exalted to the right hand of God, and having received from the Father the promise of the Holy Spirit,
He poured out this which you now see and hear.
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37 Now when they heard this, they were cut to the heart, and said to Peter and the rest of the apostles,
“Men and brethren, what shall we do?”
38 Then Peter said to them, “Repent, and let every one of you be baptized in the name of Jesus Christ for the remission of sins;
and you shall receive the gift of the Holy Spirit.
39 For the promise is to you and to your children, and to all who are afar off, as many as the Lord our God will call.”
Note:
Acts 2:17-18 … refers to pentecostals and charismatics in these last 100 years
Acts 2:21 … these powerful spiritual manifestations will result in many being saved
Acts 2:33 … “this” refers to what they all saw and heard on the Day of Pentecost
Acts 2:37 … the Jews asked what they should do to receive the same pentecostal experience
Acts 2:38-39 … this Holy Spirit baptism was for them then, and for whomever the Lord chose later
Evidently, in those days, salvation and the Holy Spirit baptism were given somewhat differently than today,
i.e. it appears that Peter expected believers to receive both simultaneously!
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