A natural man is a human being in which God the Holy Spirit does not dwell. A spiritual man is a human being in which God the Holy Spirit does dwell.
Do you agree or disagree? If not I would like for you to extend the same courtesy of answering the question, provided you have time and energy.
Using the EXACT words you did ... No, I disagree.
In 1 Corinthians 2:14 we read ...
2:14 But the natural man receiveth not the things of the Spirit of God: for they are foolishness unto him: neither can he know them, because they are spiritually discerned. 1 Corinthians
The words "natural man" are rendered from the Greek ψυχικὸς ἄνθρωπος.
The Greek ψυχικός relates to that which is physical and relies on breath to live ... hence, it is an adjective describing the physical man. Now both of us are natural men, relying on air to breath, to stay physically alive.
Now in the next verse we read,
2:15 But he that is spiritual judgeth all things, yet he himself is judged of no man. 1 Corinthians
The English "spiritual" is rendered from the Greek πνευματικός.
This is NOT referring to the physical man, but is referring to dependence up his spirit, rather than his physical being.
Man has a body (the physical person Greek σωμα); a spirit (that which God gave man which allows God to communicate with Him Greek πνεῦμα); and a soul, (the inner eternal man Greek ψυχή).
The lost man has a dead soul that is in need of being quickened (made alive). In 1 Corinthians 2:14 Paul is speaking to saved people who were carnal. They were living according to the desires of their physical flesh, instead of being subject to the HS via their spirit.
The purpose of the phrase "natural mam", was to relay the message that without the aid of their "spirit", they could not understand the things of God using only the power of their "natural man".
In the next verse, Paul then says, but, he that is spiritual πνευματικός, (dependent upon their spirit), can understand spiritual things.
So, the natural man isn't a man in whom God does NOT indwelling, he's a man who isn't yielding to the HS that does indwell him.
He that IS spiritual, is the man that IS yielded to the HS that is dwelling in him.
1:1 Paul called to be an apostle of Jesus Christ through the will of God, and Sosthenes our brother, 1:2 Unto the church of God which is at Corinth, to them that are sanctified in Christ Jesus, called to be saints, with all that in every place call upon the name of Jesus Christ our Lord, both their's and our's: 1 Corinthians
This Epistle was written to "the church of God which is at Corinth, to them that are sanctified in Christ Jesus, called to be saints"
Paul also says,
3:1 And I, brethren, could not speak unto you as unto spiritual, but as unto carnal, even as unto babes in Christ. 3:2 I have fed you with milk, and not with meat: for hitherto ye were not able to bear it, neither yet now are ye able. 3:3 For ye are yet carnal: for whereas there is among you envying, and strife, and divisions, are ye not carnal, and walk as men? 3:4 For while one saith, I am of Paul; and another, I am of Apollos; are ye not carnal? 1 Corinthians
and ...
5:1 It is reported commonly that there is fornication among you, and such fornication as is not so much as named among the Gentiles, that one should have his father's wife. 1 Corinthians
Paul was warning them of walking as "natural man", rather than 'spiritual man'.