This is not true. The rational part of humans that survives death is frequently referred to as the "spirit." When Jesus was about to die, He said:
Luk 23:46 He cried out, “Father, into your hands I commend my spirit.” And with these words he breathed his last.
We also read:
Ecclesiastes 12:7 And the dust returns to the earth as it was, and the spirit returns to God who gave it.
Job 32:8 But it is the spirit in man, the breath of the Almighty, that makes him understand.
1 Corinthians 2:11 For who knows a person's thoughts except the spirit of that person, which is in him? So also no one comprehends the thoughts of God except the Spirit of God.
Romans 8:16 The Spirit himself bears witness with our spirit that we are children of God,
John 4:24 God is spirit, and those who worship him must worship in spirit and truth.”
1 Thessalonians 5:23 Now may the God of peace himself sanctify you completely, and may your whole spirit and soul and body be kept blameless at the coming of our Lord Jesus Christ.
Hebrews 4:12 For the word of God is living and active, sharper than any two-edged sword, piercing to the division of soul and of spirit, of joints and of marrow, and discerning the thoughts and intentions of the heart.
James 2:26 For as the body apart from the spirit is dead, so also faith apart from works is dead.
Zechariah 12:1 The burden of the word of the Lord concerning Israel: Thus declares the Lord, who stretched out the heavens and founded the earth and formed the spirit of man within him:
Luke 1:46-47 And Mary said, “My soul magnifies the Lord, and my spirit rejoices in God my Savior,
Romans 1:9 For God is my witness, whom I serve with my spirit in the gospel of his Son, that without ceasing I mention you
Ecclesiastes 3:21 Who knows whether the spirit of man goes upward and the spirit of the beast goes down into the earth?
Proverbs 20:27 The spirit of man is the lamp of the Lord, searching all his innermost parts.
Numbers 16:22 And they fell on their faces and said, “O God, the God of the spirits of all flesh, shall one man sin, and will you be angry with all the congregation?”
Acts 7:59 And as they were stoning Stephen, he called out, “Lord Jesus, receive my spirit.”