You need to check these bibles, then, because both Luke and Paul do not say “for many” … only for “you.” Who is right, Matthew & Mark? Or Luke & Paul? Obviously the answer cannot consist solely in the words of scripture, but in the Tradition passed down from Peter. Only the Church is able to teach us what is true and essential.
It is not necessary to assume that the books of the New Testament you mention are contradictory. None of the Gospels claim to provide a complete transcript of our Lord’s words at the Last Supper, and Paul in 1 Corinthians does not claim to be providing all the words of a Liturgy.
Two of the books tell us that Our Lord said He was shedding His blood "
for many", none quote Him as saying “
for all”.
The Roman Catechism has this to say on the matter:
With regard to the consecration of the wine, which is the other element of this Sacrament, the priest, for the reason We have already assigned, ought of necessity to be well acquainted with, and well understand its form. We are then firmly to believe that it consists in the following words:
This is the chalice of my blood, of the new and eternal testament, the mystery of faith, which shall be shed for you and for many, to the remission of sins. Of these words the greater part are taken from Scripture; but some have been preserved in the Church from Apostolic tradition.
Thus the words,
this is the chalice, are found in St. Luke and in the Apostle; but the words that immediately follow,
of my blood, or
my blood of the new testament, which shall be shed for you and for many to the remission of sins, are found partly in St. Luke and partly in St. Matthew. But the words,
eternal, and
the mystery of faith, have been taught us by holy tradition, the interpreter and keeper of Catholic truth.
…
They moreover express certain admirable fruits of the blood shed in the Passion of our Lord, fruits which pertain in a most special manner to this Sacrament. Of these, one is access to the eternal inheritance, which has come to us by right
of the new and everlasting testament. Another is access to righteousness by
the mystery of faith; for God hath set forth Jesus to be
a propitiator through faith in his blood, that he himself may be just, and the justifier of him, who is of the faith of Jesus, Christ. A third effect is
the remission of sins.
…
The additional words
for you and for many, are taken, some from Matthew, some from Luke, but were joined together by the Catholic Church under the guidance of the Spirit of God. They serve to declare the fruit and advantage of His Passion. For if we look to its value, we must confess that the Redeemer shed His blood for the salvation of all; but if we look to the fruit which mankind have received from it, we shall easily find that it pertains not unto all, but to many of the human race. When therefore ('our Lord) said:
For you, He meant either those who were present, or those chosen from among the Jewish people, such as were, with the exception of Judas, the disciples with whom He was speaking. When He added,
And for many, He wished to be understood to mean the remainder of the elect from among the Jews or Gentiles.
With reason, therefore, were the words for all not used, as in this place the fruits of the Passion are alone spoken of, and to the elect only did His Passion bring the fruit of salvation. And this is the purport of the Apostle when he says: Christ was offered once to exhaust the sins of many; and also of the words of our Lord in John:
I pray for them; I pray not for the world, but for them whom thou hast given me, because they are thine.
