The Gemara states that it is forbidden to write down the Oral Torah ("Torah SheBe'Al Peh") [1]:
דרש רבי יהודה בר נחמני מתורגמניה דרבי שמעון בן לקיש, כתיב: +שמות ל"ד+ כתוב לך את הדברים האלה, וכתיב: +שמות ל"ד+ כי ע"פ הדברים האלה, הא כיצד? דברים שבכתב אי אתה רשאי לאומרן על פה, דברים שבעל פה אי אתה רשאי לאומרן בכתב. דבי רבי ישמעאל תנא: אלה - אלה אתה כותב, ואי אתה כותב הלכות.
Why was this the case? Wouldn't it have helped the spread of Torah knowledge if it could be written down?
[1] Gittin 60b: “R. Judah b. Nahmani, the public orator of R. Simeon b. Lakish, discoursed as follows: It is written (Exodus 34), ‘Write thou these words,’ and it is written, ‘For according to the mouth of these words.’ What are we to make of this? — It means: The words which are written down you art not at liberty to say by heart, and the words transmitted orally you are not at liberty to recite from writing. A Tanna of the school of R. Ishmael taught: [It is written] ‘These’: these you may write, but you may not write ‘halakhot.’”