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I often hear Jews, including Jewish "Rabbis", say that a man is half a person. (And his wife is his other half)
I know only of sources that a man is not a man with out his wife, but nothing about a half.
Yevamot 63a
Rabbi Elazar said: Any man who does not have a wife is not a man, as it is stated: “Male and female He created them…and called their name Adam”(Genesis 5:2)
The expression פלג גופא in reference to a person without a spouse is in the Zohar Volume 3 in several places (7b, 109b, and 296a).
Although there is some discussion in the comments here about פלג meaning half vs. part, the typical English translation of that expression would be "half a body."
Of course it is quoted approvingly in many other places.
In Sefer HaShem (p. 17), the Rokeah quotes the passage in Yevamot 63a as saying that a bachelor is not a complete man:
כדאמרינן ביבמות (סג, א) כל מי שאין לו אשה אינו אדם שלם
As we say in Yevamot (63a): anyone who doesn't have a wife, is not a complete person.
This idea, that man is in some way incomplete without a wife is stated in numerous other sources, such as in Rabbenu Bahya's Kad HaKemah (Hattan B'Beit HaKnesset) who writes:
אין שלימות האדם אלא עם הנשואים
Completion of Man only comes with marriage.
to put it simply whole and half refers to a persons potential , to achieve your fullest is only with the help of an isha .....
