וְהַֽנַּעֲרָ֖ה יָפָ֣ה עַד־מְאֹ֑ד וַתְּהִ֨י לַמֶּ֤לֶךְ סֹכֶ֙נֶת֙ וַתְּשָׁ֣רְתֵ֔הוּ וְהַמֶּ֖לֶךְ לֹ֥א יְדָעָֽהּ׃
און די מײדל איז געװען שײן ביז גאָר; און זי איז געװען דעם מלך אַ װאַרטאָרין, און האָט אים באַדינט; אָבער דער מלך האָט זי ניט דערקענט.
Rabbeinu Bahya
שתם העין, “with the open eye.” The word שתם is the opposite of סתום, i.e. “closed, shut.” A similar expression appears in Avodah Zarah 69 "כדי שישתום ויסתום", and the expression denotes the time it takes for a Gentile to open and reseal a casket of wine, i.e. if the wine was unsupervised for this length of time it is no longer fit for consumption by a Jew.
It is a well known fact that there are three types of knowledge and the way it can be acquired: 1) by means of seeing things and comprehending their nature. 2) by means of hearing things and understanding their nature. 3) perceptions other than by means of these two organs. The latter are called simply ידיעה, “knowledge.” In our verse Bileam refers to these three ways of acquiring knowledge as 1) שתום העין, 2) שומע אמרי א-ל; 3) יודע דעת עליון. We find all these three ways of acquiring knowledge also applied to G’d Himself in a single verse in Exodus 3,7 where G’d describes His knowledge of the pitiful state the Jewish people are in with these words: ראה ראיתי את עני עמי....את צעקתם שמעתי...כי ידעתי את מכאוביו, “I have certainly seen the troubles of My people...and I have heard their outcries...for I know their pain.” Seeing that the terms “seeing” and “hearing” do not really apply to G’d who has no eyes or ears, it is clear that the word ידעתי, “I know,” applies to all three ways of acquiring knowledge.
It is a well known fact that there are three types of knowledge and the way it can be acquired: 1) by means of seeing things and comprehending their nature. 2) by means of hearing things and understanding their nature. 3) perceptions other than by means of these two organs. The latter are called simply ידיעה, “knowledge.” In our verse Bileam refers to these three ways of acquiring knowledge as 1) שתום העין, 2) שומע אמרי א-ל; 3) יודע דעת עליון. We find all these three ways of acquiring knowledge also applied to G’d Himself in a single verse in Exodus 3,7 where G’d describes His knowledge of the pitiful state the Jewish people are in with these words: ראה ראיתי את עני עמי....את צעקתם שמעתי...כי ידעתי את מכאוביו, “I have certainly seen the troubles of My people...and I have heard their outcries...for I know their pain.” Seeing that the terms “seeing” and “hearing” do not really apply to G’d who has no eyes or ears, it is clear that the word ידעתי, “I know,” applies to all three ways of acquiring knowledge.
Siftei Chakhamim
I sent it out to pasture. [ברטיבא שדאי] means, “They are grazing in the dirt” as if to say the horses are grazing in the field, but she said to him “I am your donkey.” He said, “Yes for [carrying a] burden but not for riding.” But she said to him, “That you have been riding on me.” He said, “Sometimes, on a temporary basis.” But she said to him, “All of your life until this very day, and not just this but you have also lain with me” as it says, "ההסכן הסכנתי ["was it ever my habit"]?" For concerning Avishag the Shunamite it is written (Melachim I 1:4) “to be a סוכנת ["covering"] for the king” which means to warm him [by lying with him].